This glossary defines general machine learning terms as well as terms specific to TensorFlow.

## A

## A/B testing

A statistical way of comparing two (or more) techniques, typically an incumbent against a new rival. A/B testing aims to determine not only which technique performs better but also to understand whether the difference is statistically significant. A/B testing usually considers only two techniques using one measurement, but it can be applied to any finite number of techniques and measures.

## accuracy

The fraction of predictions that a
**classification model** got right. In
**multi-class classification**, accuracy
is defined as follows:

In **binary classification**, accuracy has
the following definition:

See **true positive** and
**true negative**.

## activation function

A function (for example, **ReLU** or **sigmoid**)
that takes in the weighted sum of all of the inputs from the previous layer
and then generates and passes an output value (typically nonlinear) to the next
layer.

## active learning

A training approach in which the
algorithm *chooses* some of the data it learns from. Active learning
is particularly valuable when labeled examples are scarce or expensive to
obtain. Instead of blindly seeking a diverse range of labeled examples,
an active learning algorithm selectively seeks the particular range of
examples it needs for learning.

## AdaGrad

A sophisticated gradient descent algorithm that rescales the
gradients of each parameter, effectively giving each parameter
an independent **learning rate**. For a full explanation, see
this paper.

## agglomerative clustering

## AUC (Area under the ROC Curve)

An evaluation metric that considers all possible
**classification thresholds**.

The Area Under the ROC curve is the probability that a classifier will be more confident that a randomly chosen positive example is actually positive than that a randomly chosen negative example is positive.

## automation bias

When a human decision maker favors recommendations made by an automated decision-making system over information made without automation, even when the automated decision-making system makes errors.

## B

## backpropagation

The primary algorithm for performing
**gradient descent** on
**neural networks**. First, the output values
of each node are calculated (and cached) in a forward pass.
Then, the
partial derivative
of the error with respect to each parameter is calculated in a backward
pass through the graph.

## bag of words

A representation of the words in a phrase or passage, irrespective of order. For example, bag of words represents the following three phrases identically:

- the dog jumps
- jumps the dog
- dog jumps the

Each word is mapped to an index in a sparse vector, where the vector
has an index for every word in the vocabulary. For example,
the phrase *the dog jumps* is mapped into a feature vector with non-zero
values at the three indices corresponding to the words *the*, *dog*, and
*jumps*. The non-zero value can be any of the following:

- A 1 to indicate the presence of a word.
- A count of the number of times a word appears in the bag. For example,
if the phrase were
*the maroon dog is a dog with maroon fur*, then both*maroon*and*dog*would be represented as 2, while the other words would be represented as 1. - Some other value, such as the logarithm of the count of the number of times a word appears in the bag.

## baseline

A **model** used as a reference point for comparing how well another
model (typically, a more complex one) is performing. For example, a
**logistic regression model** might serve as a
good baseline for a **deep model**.

For a particular problem, the baseline helps model developers quantify the minimal expected performance that a new model must achieve for the new model to be useful.

## batch

The set of examples used in one **iteration** (that is, one
**gradient** update) of
**model training**.

See also **batch size**.

## batch normalization

**Normalizing** the input or output of the
**activation functions** in a
**hidden layer**. Batch normalization can
provide the following benefits:

- Make neural networks more stable by protecting against outlier weights.
- Enable higher learning rates.
- Reduce overfitting.

## batch size

The number of examples in a **batch**. For example, the batch size
of **SGD** is 1, while the batch size of
a **mini-batch** is usually between 10 and 1000. Batch size is
usually fixed during training and inference; however, TensorFlow does permit
dynamic batch sizes.

## Bayesian neural network

A probabilistic **neural network** that accounts for
uncertainty in weights and outputs. A standard neural network regression model
typically predicts a scalar value; for example, a model predicts a house price
of 853,000. By contrast, a Bayesian neural network predicts a distribution of
values; for example, a model predicts a house price of 853,000 with a standard
deviation of 67,200. A Bayesian neural network relies on
Bayes' Theorem
to calculate uncertainties in weights and predictions. A Bayesian neural
network can be useful when it is important to quantify uncertainty, such as in
models related to pharmaceuticals. Bayesian neural networks can also help
prevent **overfitting**.

## bias (ethics/fairness)

1. Stereotyping, prejudice or favoritism towards some things, people, or groups over others. These biases can affect collection and interpretation of data, the design of a system, and how users interact with a system. Forms of this type of bias include:

**automation bias****confirmation bias****experimenter’s bias****group attribution bias****implicit bias****in-group bias****out-group homogeneity bias**

2. Systematic error introduced by a sampling or reporting procedure. Forms of this type of bias include:

Not to be confused with the bias term in machine learning models
or **prediction bias**

## bias (math)

An intercept or offset from an origin. Bias (also known as the
**bias term**) is referred to as *b* or *w _{0}* in
machine learning models. For example, bias is the

*b*in the following formula:

Not to be confused with **bias in ethics and fairness**
or **prediction bias**.

## bigram

An **N-gram** in which N=2.

## binary classification

A type of classification task that outputs one of two mutually exclusive classes. For example, a machine learning model that evaluates email messages and outputs either "spam" or "not spam" is a binary classifier.

## binning

See **bucketing**.

## boosting

A ML technique that iteratively combines a set of simple and not very
accurate classifiers (referred to as "weak" classifiers) into a classifier
with high accuracy (a "strong" classifier) by **upweighting**
the examples that the model is currently misclassfying.

## broadcasting

Expanding the shape of an operand in a matrix math operation to
**dimensions** compatible for that operation. For instance,
linear algebra requires that the two operands in a matrix addition operation
must have the same dimensions. Consequently, you can't add a matrix of shape
(m, n) to a vector of length n. Broadcasting enables this operation by
virtually expanding the vector of length n to a matrix of shape (m,n) by
replicating the same values down each column.

For example, given the following definitions, linear algebra prohibits A+B because A and B have different dimensions:

```
A = [[7, 10, 4],
[13, 5, 9]]
B = [2]
```

However, broadcasting enables the operation A+B by virtually expanding B to:

```
[[2, 2, 2],
[2, 2, 2]]
```

Thus, A+B is now a valid operation:

```
[[7, 10, 4], + [[2, 2, 2], = [[ 9, 12, 6],
[13, 5, 9]] [2, 2, 2]] [15, 7, 11]]
```

See the following description of broadcasting in NumPy for more details.

## bucketing

Converting a (usually **continuous**) feature into
multiple binary features called buckets or bins, typically based on value
range. For example, instead of representing temperature as a single
continuous floating-point feature, you could chop ranges of temperatures
into discrete bins. Given temperature data sensitive to a tenth of a degree,
all temperatures between 0.0 and 15.0 degrees could be put into one bin,
15.1 to 30.0 degrees could be a second bin, and 30.1 to 50.0 degrees could
be a third bin.

## C

## calibration layer

A post-prediction adjustment, typically to account for
**prediction bias**. The adjusted predictions and
probabilities should match the distribution of an observed set of labels.

## candidate generation

The initial set of recommendations chosen by a recommendation system. For
example, consider a bookstore that offers 100,000 titles. The candidate
generation phase creates a much smaller list of suitable books for a
particular user, say 500. But even 500 books is way too many to recommend
to a user. Subsequent, more expensive, phases of a recommendation system
(such as **scoring** and **re-ranking**) whittle
down those 500 to a much smaller, more useful set of recommendations.

## candidate sampling

A training-time optimization in which a probability is calculated for all the
positive labels, using, for example, **softmax**,
but only for a random
sample of negative labels. For example, if we have an example labeled
*beagle* and *dog* candidate sampling computes the predicted probabilities
and corresponding loss terms for the *beagle* and *dog* class outputs
in addition to a random subset of the remaining classes
(*cat*, *lollipop*, *fence*). The idea is that the
**negative classes** can learn from less frequent
negative reinforcement as long as
**positive classes** always get proper positive
reinforcement, and this is indeed observed empirically. The motivation for
candidate sampling is a computational efficiency win from not computing
predictions for all negatives.

## categorical data

**Features** having a discrete set of possible values. For example,
consider a categorical feature named `house style`

, which has a discrete set of
three possible values: `Tudor, ranch, colonial`

. By representing `house style`

as categorical data, the model can learn the separate impacts of `Tudor`

,
`ranch`

, and `colonial`

on house price.

Sometimes, values in the discrete set are mutually exclusive, and only one
value can be applied to a given example. For example, a `car maker`

categorical feature would probably permit only a single value (`Toyota`

)
per example. Other times, more than one value may be applicable. A single
car could be painted more than one different color, so a `car color`

categorical feature would likely permit a single example to have multiple
values (for example, `red`

and `white`

).

Categorical features are sometimes called
**discrete features**.

Contrast with **numerical data**.

## centroid

The center of a cluster as determined by a **k-means** or
**k-median** algorithm. For instance, if k is 3,
then the k-means or k-median algorithm finds 3 centroids.

## centroid-based clustering

A category of **clustering** algorithms that organizes data
into nonhierarchical clusters. **k-means** is the most widely
used centroid-based clustering algorithm.

Contrast with **hierarchical clustering**
algorithms.

## checkpoint

Data that captures the state of the variables of a model at a particular
time. Checkpoints enable exporting model **weights**, as well
as performing training across multiple sessions. Checkpoints also enable
training to continue past errors (for example, job preemption). Note that
the **graph** itself is not included in a checkpoint.

## class

One of a set of enumerated target values for a label. For example, in a
**binary classification** model that detects
spam, the two classes are *spam* and *not spam*. In a
**multi-class classification** model that
identifies dog breeds, the classes would be *poodle*, *beagle*, *pug*, and so
on.

## classification model

A type of machine learning model for distinguishing among two or more
discrete classes. For example, a natural language processing classification
model could determine whether an input sentence was in French, Spanish,
or Italian. Compare with **regression model**.

## classification threshold

A scalar-value criterion that is applied to a model's predicted score in order
to separate the **positive class** from the **negative
class**. Used when mapping
**logistic regression** results to
**binary classification**. For example, consider
a logistic regression model that determines the probability of a given email
message being spam. If the classification threshold is 0.9, then logistic
regression values above 0.9 are classified as *spam* and those below
0.9 are classified as *not spam*.

## class-imbalanced dataset

A **binary classification** problem in which the
**labels** for the two classes have significantly different
frequencies. For example, a disease dataset in which 0.0001 of examples
have positive labels and 0.9999 have negative labels is a class-imbalanced
problem, but a football game predictor in which 0.51 of examples label one
team winning and 0.49 label the other team winning is *not* a
class-imbalanced problem.

## clipping

A technique for handling **outliers**. Specifically, reducing
feature values that are greater than a set maximum value down to that maximum
value. Also, increasing feature values that are less than a specific minimum
value up to that minimum value.

For example, suppose that only a few feature values fall outside the range 40–60. In this case, you could do the following:

- Clip all values over 60 to be exactly 60.
- Clip all values under 40 to be exactly 40.

In addition to bringing *input values* within a designated range, clipping
can also used to force *gradient values* within a designated range during
training.

## Cloud TPU

Specialized accelerator technology to speed up machine learning workloads on Google Cloud.

## clustering

Grouping related **examples**, particularly during
**unsupervised learning**. Once all the
examples are grouped, a human can optionally supply meaning to each cluster.

Many clustering algorithms exist. For example, the **k-means**
algorithm clusters examples based on their proximity to a
**centroid**, as in the following diagram:

A human researcher could then review the clusters and, for example, label cluster 1 as "dwarf trees" and cluster 2 as "full-size trees."

As another example, consider a clustering algorithm based on an example's distance from a center point, illustrated as follows:

## co-adaptation

When **neurons** predict patterns in training data by relying
almost exclusively on outputs of specific other neurons instead of relying on
the network's behavior as a whole. When the patterns that cause co-adaption
are not present in validation data, then co-adaptation causes overfitting.
**Dropout regularization** reduces co-adaptation
because dropout ensures neurons cannot rely solely on specific other neurons.

## collaborative filtering

Making predictions about the interests of one user based on the interests of many other users. Collaborative filtering is often used in recommendation systems.

## confirmation bias

The tendency to search for, interpret, favor, and recall information in a
way that confirms one's preexisting beliefs or hypotheses.
Machine learning developers may inadvertently collect or label
data in ways that influence an outcome supporting their existing
beliefs. Confirmation bias is a form of **implicit bias**.

**Experimenter's bias** is a form of confirmation bias in which
an experimenter continues training models until a preexisting
hypothesis is confirmed.

## confusion matrix

An NxN table that summarizes how successful a
**classification model's** predictions were; that is,
the correlation between the label and the model's classification. One axis of
a confusion matrix is the label that the model predicted, and the other axis
is the actual label. N represents the number of classes. In a
**binary classification** problem, N=2. For example,
here is a sample confusion matrix for a binary classification problem:

Tumor (predicted) | Non-Tumor (predicted) | |
---|---|---|

Tumor (actual) | 18 | 1 |

Non-Tumor (actual) | 6 | 452 |

The preceding confusion matrix shows that of the 19 samples that actually had tumors, the model correctly classified 18 as having tumors (18 true positives), and incorrectly classified 1 as not having a tumor (1 false negative). Similarly, of 458 samples that actually did not have tumors, 452 were correctly classified (452 true negatives) and 6 were incorrectly classified (6 false positives).

The confusion matrix for a multi-class classification problem can help you determine mistake patterns. For example, a confusion matrix could reveal that a model trained to recognize handwritten digits tends to mistakenly predict 9 instead of 4, or 1 instead of 7.

Confusion matrices contain sufficient information to calculate a
variety of performance metrics, including **precision**
and **recall**.

## continuous feature

A floating-point feature with an infinite range of possible values.
Contrast with **discrete feature**.

## convenience sampling

Using a dataset not gathered scientifically in order to run quick experiments. Later on, it's essential to switch to a scientifically gathered dataset.

## convergence

Informally, often refers to a state reached during training in which training
**loss** and validation loss change very little or not at all
with each iteration after a certain number of iterations. In other words, a
model reaches convergence when additional training on the current data will
not improve the model. In deep learning, loss values sometimes stay constant
or nearly so for many iterations before finally descending, temporarily
producing a false sense of convergence.

See also **early stopping**.

See also Boyd and Vandenberghe, Convex Optimization.

## convex function

A function in which the region above the graph of the function is a
**convex set**. The prototypical convex function is
shaped something like the letter **U**. For example, the following
are all convex functions:

By contrast, the following function is not convex. Notice how the region above the graph is not a convex set:

A **strictly convex function** has exactly one local minimum point, which
is also the global minimum point. The classic U-shaped functions are
strictly convex functions. However, some convex functions
(for example, straight lines) are not U-shaped.

A lot of the common **loss functions**, including the
following, are convex functions:

Many variations of **gradient descent** are
guaranteed to find a point close to the minimum of a
strictly convex function. Similarly, many variations of
**stochastic gradient descent** have a high probability
(though, not a guarantee) of finding a point close to the minimum of a
strictly convex function.

The sum of two convex functions (for example,
L_{2} loss + L_{1} regularization) is a convex function.

**Deep models** are never convex functions.
Remarkably, algorithms designed for
**convex optimization** tend to find
reasonably good solutions on deep networks anyway, even though
those solutions are not guaranteed to be a global minimum.

## convex optimization

The process of using mathematical techniques such as
**gradient descent** to find
the minimum of a **convex function**.
A great deal of research in machine learning has focused on formulating various
problems as convex optimization problems and in solving those problems more
efficiently.

For complete details, see Boyd and Vandenberghe, Convex Optimization.

## convex set

A subset of Euclidean space such that a line drawn between any two points in the subset remains completely within the subset. For instance, the following two shapes are convex sets:

By contrast, the following two shapes are not convex sets:

## convolution

In mathematics, casually speaking, a mixture of two functions. In machine learning, a convolution mixes the convolutional filter and the input matrix in order to train weights.

The term "convolution" in machine learning is often a shorthand way of
referring to either **convolutional operation**
or **convolutional layer**.

Without convolutions, a machine learning algorithm would have to learn
a separate weight for every cell in a large tensor. For example, a
machine learning algorithm training on 2K x 2K images would be forced to
find 4M separate weights. Thanks to convolutions, a machine learning
algorithm only has to find weights for every cell in the
**convolutional filter**, dramatically reducing
the memory needed to train the model. When the convolutional filter is
applied, it is simply replicated across cells such that each is multiplied
by the filter.

## convolutional filter

One of the two actors in a
**convolutional operation**. (The other actor
is a slice of an input matrix.) A convolutional filter is a matrix having
the same **rank** as the input matrix, but a smaller shape.
For example, given a 28x28 input matrix, the filter could be any 2D matrix
smaller than 28x28.

In photographic manipulation, all the cells in a convolutional filter are typically set to a constant pattern of ones and zeroes. In machine learning, convolutional filters are typically seeded with random numbers and then the network trains the ideal values.

## convolutional layer

A layer of a deep neural network in which a
**convolutional filter** passes along an input
matrix. For example, consider the following 3x3
**convolutional filter**:

The following animation shows a convolutional layer consisting of 9 convolutional operations involving the 5x5 input matrix. Notice that each convolutional operation works on a different 3x3 slice of the input matrix. The resulting 3x3 matrix (on the right) consists of the results of the 9 convolutional operations:

## convolutional neural network

A neural network in which at least one layer is a
**convolutional layer**. A typical convolutional
neural network consists of some combination of the following layers:

- convolutional layers
- pooling layers
- dense layers

Convolutional neural networks have had great success in certain kinds of problems, such as image recognition.

## convolutional operation

The following two-step mathematical operation:

- Element-wise multiplication of the
**convolutional filter**and a slice of an input matrix. (The slice of the input matrix has the same rank and size as the convolutional filter.) - Summation of all the values in the resulting product matrix.

For example, consider the following 5x5 input matrix:

Now imagine the following 2x2 convolutional filter:

Each convolutional operation involves a single 2x2 slice of the input matrix. For instance, suppose we use the 2x2 slice at the top-left of the input matrix. So, the convolution operation on this slice looks as follows:

A **convolutional layer** consists of a
series of convolutional operations, each acting on a different slice
of the input matrix.

## cost

Synonym for **loss**.

## coverage bias

See **selection bias**.

## crash blossom

A sentence or phrase with an ambiguous meaning.
Crash blossoms present a significant problem in **natural
language understanding**.
For example, the headline *Red Tape Holds Up Skyscraper* is a
crash blossom because an NLU model could interpret the headline literally or
figuratively.

## cross-entropy

A generalization of **Log Loss** to
**multi-class classification problems**. Cross-entropy
quantifies the difference between two probability distributions. See also
**perplexity**.

## cross-validation

A mechanism for estimating how well a model will generalize to new data by testing the model against one or more non-overlapping data subsets withheld from the training set.

## custom Estimator

An **Estimator** that you write yourself by following
these directions.

Contrast with **premade Estimators**.

## D

## data analysis

Obtaining an understanding of data by considering samples, measurement, and visualization. Data analysis can be particularly useful when a dataset is first received, before one builds the first model. It is also crucial in understanding experiments and debugging problems with the system.

## data augmentation

Artificially boosting the range and number of training examples by transforming existing examples to create additional examples. For example, suppose images are one of your features, but your dataset doesn't contain enough image examples for the model to learn useful associations. Ideally, you'd add enough labeled images to your dataset to enable your model to train properly. If that's not possible, data augmentation can rotate, stretch, and reflect each image to produce many variants of the original picture, possibly yielding enough labeled data to enable excellent training.

## DataFrame

A popular datatype for representing datasets in **pandas**. A
DataFrame is analogous to a table. Each column of the DataFrame has a name (a
header), and each row is identified by a number.

## data set or dataset

A collection of **examples**.

## Dataset API (tf.data)

A high-level TensorFlow API for reading data and transforming it into a form
that a machine learning algorithm requires. A `tf.data.Dataset`

object
represents a sequence of elements, in which each element contains one or more
**Tensors**. A `tf.data.Iterator`

object provides access to the
elements of a `Dataset`

.

For details about the Dataset API, see Importing Data in the TensorFlow Programmer's Guide.

## decision boundary

The separator between classes learned by a model in a
**binary class** or
**multi-class classification problems**. For example,
in the following image representing a binary classification problem,
the decision boundary is the frontier between the orange class and
the blue class:

## decision threshold

Synonym for **classification threshold**.

## decision tree

A model represented as a sequence of branching statements. For example, the following over-simplified decision tree branches a few times to predict the price of a house (in thousands of USD). According to this decision tree, a house larger than 160 square meters, having more than three bedrooms, and built less than 10 years ago would have a predicted price of 510 thousand USD.

Machine learning can generate deep decision trees.

## deep model

A type of **neural network** containing multiple
**hidden layers**.

Contrast with **wide model**.

## deep neural network

Synonym for **deep model**.

## dense feature

A **feature** in which most values are non-zero, typically
a **Tensor** of floating-point values. Contrast with
**sparse feature**.

## dense layer

Synonym for **fully connected layer**.

## depth

The number of **layers** (including any
**embedding** layers) in a **neural network**
that learn weights. For example, a neural network with 5
**hidden layers** and 1 output layer has a depth of 6.

## depthwise separable convolutional neural network (sepCNN)

A **convolutional neural network**
architecture based on
Inception,
but where Inception modules are replaced with depthwise separable
convolutions. Also known as Xception.

A depthwise separable convolution (also abbreviated as separable convolution) factors a standard 3-D convolution into two separate convolution operations that are more computationally efficient: first, a depthwise convolution, with a depth of 1 (n ✕ n ✕ 1), and then second, a pointwise convolution, with length and width of 1 (1 ✕ 1 ✕ n).

To learn more, see Xception: Deep Learning with Depthwise Separable Convolutions.

## device

A category of hardware that can run a TensorFlow session, including
CPUs, GPUs, and **TPUs**.

## dimension reduction

Decreasing the number of dimensions used to represent a particular feature in
a feature vector, typically by converting to an **embedding**.

## dimensions

Overloaded term having any of the following definitions:

The number of levels of coordinates in a

**Tensor**. For example:- A scalar has zero dimensions; for example,
`["Hello"]`

. - A vector has one dimension; for example,
`[3, 5, 7, 11]`

. - A matrix has two dimensions; for example,
`[[2, 4, 18], [5, 7, 14]]`

.

You can uniquely specify a particular cell in a one-dimensional vector with one coordinate; you need two coordinates to uniquely specify a particular cell in a two-dimensional matrix.

- A scalar has zero dimensions; for example,
The number of entries in a

**feature vector**.The number of elements in an

**embedding**layer.

## discrete feature

A **feature** with a finite set of possible values. For example,
a feature whose values may only be *animal*, *vegetable*, or *mineral* is a
discrete (or categorical) feature. Contrast with
**continuous feature**.

## discriminative model

A **model** that predicts labels from a set of one or more
features. More formally, discriminative models define the conditional
probability of an output given the features and weights; that is:

p(output | features, weights)

For example, a model that predicts whether an email is spam from features and weights is a discriminative model.

The vast majority of supervised learning models, including classification and regression models, are discriminative models.

Contrast with **generative model**.

## discriminator

A system that determines whether examples are real or fake.

The subsystem within a **generative adversarial
network** that determines whether
the examples created by the **generator** are real or fake.

## divisive clustering

## downsampling

Overloaded term that can mean either of the following:

- Reducing the amount of information in a feature in order to train a model more efficiently. For example, before training an image recognition model, downsampling high-resolution images to a lower-resolution format.
- Training on a disproportionately low percentage of over-represented class
examples in order to improve model training on under-represented classes.
For example, in a
**class-imbalanced dataset**, models tend to learn a lot about the**majority class**and not enough about the**minority class**. Downsampling helps balance the amount of training on the majority and minority classes.

## dropout regularization

A form of **regularization** useful in training
**neural networks**. Dropout regularization works by
removing a random selection of a fixed number of the units in a network
layer for a single gradient step. The more units dropped out, the stronger
the regularization. This is analogous to training the network to emulate
an exponentially large ensemble of smaller networks. For full details, see
Dropout: A Simple Way to Prevent Neural Networks from
Overfitting.

## dynamic model

A **model** that is trained online in a continuously
updating fashion. That is, data is continuously entering the model.

## E

## eager execution

A TensorFlow programming environment in which **operations**
run immediately. By contrast, operations called in
**graph execution** don't run until they are explicitly
evaluated. Eager execution is an
imperative interface, much
like the code in most programming languages. Eager execution programs are
generally far easier to debug than graph execution programs.

## early stopping

A method for **regularization** that involves ending
model training *before* training loss finishes decreasing. In early
stopping, you end model training when the loss on a
**validation dataset** starts to increase, that is, when
**generalization** performance worsens.

## embeddings

A categorical feature represented as a continuous-valued feature. Typically, an embedding is a translation of a high-dimensional vector into a low-dimensional space. For example, you can represent the words in an English sentence in either of the following two ways:

- As a million-element (high-dimensional)
**sparse vector**in which all elements are integers. Each cell in the vector represents a separate English word; the value in a cell represents the number of times that word appears in a sentence. Since a single English sentence is unlikely to contain more than 50 words, nearly every cell in the vector will contain a 0. The few cells that aren't 0 will contain a low integer (usually 1) representing the number of times that word appeared in the sentence. - As a several-hundred-element (low-dimensional)
**dense vector**in which each element holds a floating-point value between 0 and 1. This is an embedding.

In TensorFlow, embeddings are trained by **backpropagating**
**loss** just like any other parameter in a
**neural network**.

## embedding space

The d-dimensional vector space that features from a higher-dimensional vector space are mapped to. Ideally, the embedding space contains a structure that yields meaningful mathematical results; for example, in an ideal embedding space, addition and subtraction of embeddings can solve word analogy tasks.

The dot product of two embeddings is a measure of their similarity.

## empirical risk minimization (ERM)

Choosing the function that minimizes loss on the training set. Contrast
with **structural risk minimization**.

## ensemble

A merger of the predictions of multiple **models**. You can create an
ensemble via one or more of the following:

- different initializations
- different
**hyperparameters** - different overall structure

Deep and wide models are a kind of ensemble.

## epoch

A full training pass over the entire dataset such that each example has been
seen once. Thus, an epoch represents `N`

/**batch size** training
**iterations**, where `N`

is the total number of examples.

## Estimator

An instance of the `tf.Estimator`

class, which encapsulates logic that builds
a TensorFlow graph and runs a TensorFlow session. You may create your own
**custom Estimators** (as described
here)
or instantiate **premade Estimators** created by
others.

## example

One row of a dataset. An example contains one or more **features**
and possibly a **label**. See also
**labeled example** and
**unlabeled example**.

## experimenter's bias

See **confirmation bias**.

## exploding gradient problem

The tendency for **gradients** in a
**deep neural networks** (especially
**recurrent neural networks**) to become
surprisingly steep (high). Steep gradients result in very large updates
to the weights of each node in a deep neural network.

Models suffering from the exploding gradient problem become difficult
or impossible to train. **Gradient clipping**
can mitigate this problem.

Compare to **vanishing gradient problem**.

## F

## false negative (FN)

An example in which the model mistakenly predicted the
**negative class**. For example, the model
inferred that a particular email message was not spam
(the negative class), but that email message actually was spam.

## false positive (FP)

An example in which the model mistakenly predicted the
**positive class**. For example, the model inferred
that a particular email message was spam (the positive class), but that
email message was actually not spam.

## false positive rate (FPR)

The x-axis in an **ROC curve**. The false positive rate is defined
as follows:

## feature

An input variable used in making **predictions**.

## Feature column (tf.feature_column)

A function that specifies how a model should interpret a particular feature. A
list that collects the output returned by calls to such functions is a required
parameter to all **Estimators** constructors.

The `tf.feature_column`

functions enable models to easily experiment
with different representations of input features. For details, see the
Feature Columns chapter
in the TensorFlow Programmers Guide.

"Feature column" is Google-specific terminology. A feature column is referred to as a "namespace" in the VW system (at Yahoo/Microsoft), or a field.

## feature cross

A **synthetic feature** formed by crossing (taking a
Cartesian
product of) individual binary features obtained from
**categorical data** or from
**continuous features** via **bucketing**.
Feature crosses help represent nonlinear relationships.

## feature engineering

The process of determining which **features** might be useful
in training a model, and then converting raw data from log files and other
sources into said features. In TensorFlow, feature engineering often means
converting raw log file entries to **tf.Example**
protocol buffers. See also
tf.Transform.

Feature engineering is sometimes called **feature extraction**.

## feature extraction

Overloaded term having either of the following definitions:

- Retrieving intermediate feature representations calculated by an
**unsupervised**or pretrained model (for example,**hidden layer**values in a**neural network**) for use in another model as input. - Synonym for
**feature engineering**.

## feature set

The group of **features** your machine learning model trains on.
For example, postal code, property size, and property condition might
comprise a simple feature set for a model that predicts housing prices.

## feature spec

Describes the information required to extract **features** data
from the **tf.Example** protocol buffer. Because the
tf.Example protocol buffer is just a container for data, you must specify
the following:

- the data to extract (that is, the keys for the features)
- the data type (for example, float or int)
- The length (fixed or variable)

The **Estimator API** provides facilities for producing a
feature spec from a list of
**FeatureColumns**.

## feature vector

The list of feature values representing an **example**
passed into a model.

## feedforward neural network (FFN)

A neural network without cyclic or recursive connections. For example,
traditional **deep neural networks** are
feedforward neural networks. Contrast with **recurrent neural
networks**, which are cyclic.

## few-shot learning

A machine learning approach, often used for object classification, designed to learn effective classifiers from only a small number of training examples.

See also **one-shot learning**.

## fine tuning

Perform a secondary optimization to adjust the parameters of an already
trained **model** to fit a new problem. Fine tuning often
refers to refitting the weights of a trained
**unsupervised** model to a
**supervised** model.

## forget gate

The portion of a **Long Short-Term Memory**
cell that regulates the flow of information through the cell.
Forget gates maintain context by deciding which information to discard
from the cell state.

## full softmax

See **softmax**. Contrast with
**candidate sampling**.

## fully connected layer

A **hidden layer** in which each **node** is
connected to *every* node in the subsequent hidden layer.

A fully connected layer is also known as a **dense layer**.

## G

## GAN

Abbreviation for **generative adversarial
network**.

## generalization

Refers to your model's ability to make correct predictions on new, previously unseen data as opposed to the data used to train the model.

## generalization curve

A **loss curve** showing both the
**training set** and the
**validation set**.
A generalization curve can help you detect possible
**overfitting**. For example, the following
generalization curve suggests overfitting because loss for
the validation set ultimately becomes significantly higher
than for the training set.

## generalized linear model

A generalization of **least squares regression**
models, which are based on
Gaussian
noise, to other
types of models based on other types of noise, such as
Poisson noise
or
categorical noise. Examples of generalized linear models include:

**logistic regression**- multi-class regression
- least squares regression

The parameters of a generalized linear model can be found through
**convex optimization**.

Generalized linear models exhibit the following properties:

- The average prediction of the optimal least squares regression model is equal to the average label on the training data.
- The average probability predicted by the optimal logistic regression model is equal to the average label on the training data.

The power of a generalized linear model is limited by its features. Unlike a deep model, a generalized linear model cannot "learn new features."

## generative adversarial network (GAN)

A system to create new data in which a **generator** creates
data and a **discriminator** determines whether that
created data is valid or invalid.

## generative model

Practically speaking, a model that does either of the following:

- Creates (generates) new examples from the training dataset.
For example, a generative model could create poetry after training
on a dataset of poems. The
**generator**part of a**generative adversarial network**falls into this category. - Determines the probability that a new example comes from the training set, or was created from the same mechanism that created the training set. For example, after training on a dataset consisting of English sentences, a generative model could determine the probability that new input is a valid English sentence.

A generative model can theoretically discern the distribution of examples or particular features in a dataset. That is:

p(examples)

Unsupervised learning models are generative.

Contrast with **discriminative models**.

## generator

The subsystem within a **generative adversarial
network**
that creates new **examples**.

Contrast with **discriminative model**.

## gradient

The vector of **partial derivatives** with respect to
all of the independent variables. In machine learning, the gradient is
the vector of partial derivatives of the model function. The gradient points
in the direction of steepest ascent.

## gradient clipping

A commonly used mechanism to mitigate the
**exploding gradient problem** by artificially
limiting (clipping) the maximum value of gradients when using
**gradient descent** to train a model.

## gradient descent

A technique to minimize **loss** by computing the gradients of
loss with respect to the model's parameters, conditioned on training data.
Informally, gradient descent iteratively adjusts parameters, gradually
finding the best combination of **weights** and bias to
minimize loss.

## graph

In TensorFlow, a computation specification. Nodes in the graph
represent operations. Edges are directed and represent passing the result
of an operation (a **Tensor**) as an
operand to another operation. Use
**TensorBoard** to visualize a graph.

## graph execution

A TensorFlow programming environment in which the program first constructs
a **graph** and then executes all or part of that graph. Graph
execution is the default execution mode in TensorFlow 1.x.

Contrast with **eager execution**.

## ground truth

The correct answer. Reality. Since reality is often subjective,
expert **raters** typically are the proxy for ground truth.

## group attribution bias

Assuming that what is true for an individual is also true for everyone
in that group. The effects of group attribution bias can be exacerbated
if a **convenience sampling**
is used for data collection. In a non-representative sample, attributions
may be made that do not reflect reality.

See also **out-group homogeneity bias**
and **in-group bias**.

## H

## hashing

In machine learning, a mechanism for bucketing
**categorical data**, particularly when the number
of categories is large, but the number of categories actually appearing
in the dataset is comparatively small.

For example, Earth is home to about 60,000 tree species. You could represent each of the 60,000 tree species in 60,000 separate categorical buckets. Alternatively, if only 200 of those tree species actually appear in a dataset, you could use hashing to divide tree species into perhaps 500 buckets.

A single bucket could contain multiple tree species. For example, hashing
could place *baobab* and *red maple*—two genetically dissimilar
species—into the same bucket. Regardless, hashing is still a good way to
map large categorical sets into the desired number of buckets. Hashing turns a
categorical feature having a large number of possible values into a much
smaller number of values by grouping values in a
deterministic way.

For more information on hashing, see the Feature Columns chapter in the TensorFlow Programmers Guide.

## heuristic

A quick solution to a problem, which may or may not be the best solution. For example, "With a heuristic, we achieved 86% accuracy. When we switched to a deep neural network, accuracy went up to 98%."

## hidden layer

A synthetic layer in a **neural network** between the
**input layer** (that is, the features) and the
**output layer** (the prediction). Hidden layers typically
contain an **activation function** (such as
**ReLU**) for training. A **deep neural
network** contains more than one
hidden layer.

## hierarchical clustering

A category of **clustering** algorithms that create a tree
of clusters. Hierarchical clustering is well-suited to hierarchical data,
such as botanical taxonomies. There are two types of hierarchical
clustering algorithms:

**Agglomerative clustering**first assigns every example to its own cluster, and iteratively merges the closest clusters to create a hierarchical tree.**Divisive clustering**first groups all examples into one cluster and then iteratively divides the cluster into a hierarchical tree.

Contrast with **centroid-based clustering**.

## hinge loss

A family of **loss** functions for
**classification** designed to find the
**decision boundary** as distant as possible
from each training example,
thus maximizing the margin between examples and the boundary.
**KSVMs** use hinge loss (or a related function, such as
squared hinge loss). For binary classification, the hinge loss function
is defined as follows:

where *y'* is the raw output of the classifier model:

and *y* is the true label, either -1 or +1.

Consequently, a plot of hinge loss vs. (y * y') looks as follows:

## holdout data

**Examples** intentionally not used ("held out") during training.
The **validation dataset** and
**test dataset** are examples of holdout data. Holdout data
helps evaluate your model's ability to generalize to data other than the
data it was trained on. The loss on the holdout set provides a better
estimate of the loss on an unseen dataset than does the loss on the
training set.

## hyperparameter

The "knobs" that you
tweak during successive runs of training a model. For example,
**learning rate** is a hyperparameter.

Contrast with **parameter**.

## hyperplane

A boundary that separates a space into two subspaces. For example, a line is a
hyperplane in two dimensions and a plane is a hyperplane in three dimensions.
More typically in machine learning, a hyperplane is the boundary separating a
high-dimensional space. **Kernel Support Vector Machines** use
hyperplanes to separate positive classes from negative classes, often in a very
high-dimensional space.

## I

## i.i.d.

Abbreviation for **independently and identically distributed**.

## image recognition

A process that classifies object(s), pattern(s), or concept(s) in an image.
Image recognition is also known as **image classification**.

For more information, see ML Practicum: Image Classification.

## imbalanced dataset

Synonym for **class-imbalanced dataset**.

## implicit bias

Automatically making an association or assumption based on one’s mental models and memories. Implicit bias can affect the following:

- How data is collected and classified.
- How ML systems are designed and developed.

For example, when building a classifier to identify wedding photos, an engineer may use the presence of a white dress in a photo as a feature. However, white dresses have been customary only during certain eras and in certain cultures.

See also **confirmation bias**.

## independently and identically distributed (i.i.d)

Data drawn from a distribution that doesn't change, and where each value drawn doesn't depend on values that have been drawn previously. An i.i.d. is the ideal gas of machine learning—a useful mathematical construct but almost never exactly found in the real world. For example, the distribution of visitors to a web page may be i.i.d. over a brief window of time; that is, the distribution doesn't change during that brief window and one person's visit is generally independent of another's visit. However, if you expand that window of time, seasonal differences in the web page's visitors may appear.

## inference

In machine learning, often refers to the process of making predictions by
applying the trained model to **unlabeled examples**.
In statistics, inference refers to the process of fitting the parameters
of a distribution conditioned on some observed data. (See the
Wikipedia article on statistical inference.)

## in-group bias

Showing partiality to one's own group or own characteristics. If testers or raters consist of the machine learning developer's friends, family, or colleagues, then in-group bias may invalidate product testing or the dataset.

In-group bias is a form of
**group attribution bias**.
See also **out-group homogeneity bias**.

## input function

In TensorFlow, a function that returns input data to the training, evaluation,
or prediction method of an **Estimator**. For example,
the training input function returns a **batch** of features
and labels from the **training set**.

## input layer

The first layer (the one that receives the input data) in
a **neural network**.

## instance

Synonym for **example**.

## interpretability

The degree to which a model's predictions can be readily explained. Deep models
are often non-interpretable; that is, a deep model's different layers can be
hard to decipher. By contrast, linear regression models and **wide
models** are typically far more interpretable.

## inter-rater agreement

A measurement of how often human raters agree when doing a task.
If raters disagree, the task instructions may need to be improved.
Also sometimes called **inter-annotator agreement** or
**inter-rater reliability**. See also
Cohen's
kappa,
which is one of the most popular inter-rater agreement measurements.

## item matrix

In **recommendation systems**, a
matrix of **embeddings** generated by
**matrix factorization**
that holds latent signals about each **item**.
Each row of the item matrix holds the value of a single latent
feature for all items.
For example, consider a movie recommendation system. Each column
in the item matrix represents a single movie. The latent signals
might represent genres, or might be harder-to-interpret
signals that involve complex interactions among genre, stars,
movie age, or other factors.

The item matrix has the same number of columns as the target matrix that is being factorized. For example, given a movie recommendation system that evaluates 10,000 movie titles, the item matrix will have 10,000 columns.

## items

In a **recommendation system**, the entities that
a system recommends. For example, videos are the items that a video store
recommends, while books are the items that a bookstore recommends.

## iteration

A single update of a model's weights during training. An iteration
consists of computing the gradients of the parameters with respect to the
loss on a single **batch** of data.

## K

## Keras

A popular Python machine learning API. Keras runs on several deep learning frameworks, including TensorFlow, where it is made available as tf.keras.

## Kernel Support Vector Machines (KSVMs)

A classification algorithm that seeks to maximize the margin between
**positive** and
**negative classes** by mapping input data vectors
to a higher dimensional space. For example, consider a classification
problem in which the input dataset
has a hundred features. To maximize the margin between
positive and negative classes, a KSVM could internally map those features into
a million-dimension space. KSVMs uses a loss function called
**hinge loss**.

## k-means

A popular **clustering** algorithm that groups examples
in unsupervised learning. The k-means algorithm basically does the following:

- Iteratively determines the best k center points (known
as
**centroids**). - Assigns each example to the closest centroid. Those examples nearest the same centroid belong to the same group.

The k-means algorithm picks centroid locations to minimize the cumulative
*square* of the distances from each example to its closest centroid.

For example, consider the following plot of dog height to dog width:

If k=3, the k-means algorithm will determine three centroids. Each example is assigned to its closest centroid, yielding three groups:

Imagine that a manufacturer wants to determine the ideal sizes for small,
medium, and large sweaters for dogs. The three centroids identify the mean
height and mean width of each dog in that cluster. So, the manufacturer
should probably base sweater sizes on those three centroids. Note that
the centroid of a cluster is typically *not* an example in the cluster.

The preceding illustrations shows k-means for examples with only two features (height and width). Note that k-means can group examples across many features.

## k-median

A clustering algorithm closely related to **k-means**. The
practical difference between the two is as follows:

- In k-means, centroids are determined by minimizing the sum of the
*squares*of the distance between a centroid candidate and each of its examples. - In k-median, centroids are determined by minimizing the sum of the distance between a centroid candidate and each of its examples.

Note that the definitions of distance are also different:

- k-means relies on the Euclidean distance from the centroid to an example. (In two dimensions, the Euclidean distance means using the Pythagorean theorem to calculate the hypotenuse.) For example, the k-means distance between (2,2) and (5,-2) would be:

- k-median relies on the Manhattan distance from the centroid to an example. This distance is the sum of the absolute deltas in each dimension. For example, the k-median distance between (2,2) and (5,-2) would be:

## L

## L_{1} loss

**Loss** function based on the absolute value of the difference
between the values that a model is predicting and the actual values of
the **labels**. L_{1} loss is less sensitive to outliers
than **L _{2} loss**.

## L_{1} regularization

A type of **regularization** that penalizes weights
in proportion to the sum of the absolute values of the weights. In models
relying on **sparse features**, L_{1}
regularization helps drive the weights of irrelevant or barely relevant
features to exactly 0, which removes those features from the model.
Contrast with **L _{2} regularization**.

## L_{2} loss

See **squared loss**.

## L_{2} regularization

A type of **regularization** that penalizes weights
in proportion to the sum of the *squares* of the weights.
L_{2} regularization helps drive outlier weights (those with
high positive or low negative values) closer to 0 but not quite to 0.
(Contrast with **L1 regularization**.)
L_{2} regularization always improves generalization in linear models.

## label

In supervised learning, the "answer" or "result" portion of an
**example**. Each example in a labeled dataset consists of one or
more features and a label. For instance, in a housing dataset, the features
might include the number of bedrooms, the number of bathrooms, and the age
of the house, while the label might be the house's price.
In a spam detection dataset, the features might include the subject line, the
sender, and the email message itself, while the label would probably be either
"spam" or "not spam."

## labeled example

An example that contains **features** and a
**label**. In supervised training, models learn from labeled
examples.

## lambda

Synonym for **regularization rate**.

(This is an overloaded term. Here we're focusing on the term's
definition within **regularization**.)

## layer

A set of **neurons** in a
**neural network** that process a set of input
features, or the output of those neurons.

Also, an abstraction in TensorFlow. Layers are Python
functions that take **Tensors** and configuration options
as input and produce other tensors as output. Once the necessary Tensors
have been composed, the user can convert the result into an
**Estimator** via a **model function**.

## Layers API (tf.layers)

A TensorFlow API for constructing a **deep** neural network
as a composition of layers. The Layers API enables you to build different
types of **layers**, such as:

`tf.layers.Dense`

for a**fully-connected layer**.`tf.layers.Conv2D`

for a convolutional layer.

When writing a **custom Estimator**, you compose Layers
objects to define the characteristics of all the
**hidden layers**.

The Layers API follows the **Keras** layers API conventions.
That is, aside from a different prefix, all functions in the Layers API
have the same names and signatures as their counterparts in the Keras
layers API.

## learning rate

A scalar used to train a model via gradient descent. During each iteration,
the **gradient descent** algorithm multiplies the
learning rate by the gradient. The resulting product is called the
**gradient step**.

Learning rate is a key **hyperparameter**.

## least squares regression

A linear regression model trained by minimizing
**L _{2} Loss**.

## linear regression

A type of **regression model** that outputs a continuous
value from a linear combination of input features.

## logistic regression

A model that generates a probability for each possible discrete label value in
classification problems by applying a **sigmoid function**
to a linear prediction. Although logistic regression is often used in
**binary classification** problems, it can also be
used in **multi-class** classification problems (where it
becomes called **multi-class logistic regression**
or **multinomial regression**).

## logits

The vector of raw (non-normalized) predictions that a classification model generates, which is ordinarily then passed to a normalization function. If the model is solving a multi-class classification problem, logits typically become an input to the softmax function. The softmax function then generates a vector of (normalized) probabilities with one value for each possible class.

In addition, logits sometimes refer to the element-wise inverse of the
**sigmoid function**. For more information, see
tf.nn.sigmoid_cross_entropy_with_logits.

## Log Loss

The **loss** function used in binary
**logistic regression**.

## log-odds

The logarithm of the odds of some event.

If the event refers to a binary probability, then **odds** refers to
the ratio of the probability of success (p) to the probability of
failure (1-p). For example, suppose that a given event has a 90%
probability of success and a 10% probability of failure. In this case,
odds is calculated as follows:

The log-odds is simply the logarithm of the odds. By convention, "logarithm" refers to natural logarithm, but logarithm could actually be any base greater than 1. Sticking to convention, the log-odds of our example is therefore:

The log-odds are the inverse of the **sigmoid function**.

## Long Short-Term Memory (LSTM)

A type of cell in a
**recurrent neural network** used to process
sequences of data in applications such as handwriting recognition, machine
translation, and image captioning. LSTMs address the
**vanishing gradient problem** that occurs when
training RNNs due to long data sequences by maintaining history in an
internal memory state based on new input and context from previous cells
in the RNN.

## loss

A measure of how far a model's **predictions** are from its
**label**. Or, to phrase it more pessimistically, a measure of
how bad the model is. To determine this value, a model must define a loss
function. For example, linear regression models typically use
**mean squared error** for a loss function,
while logistic regression models use **Log Loss**.

## loss curve

A graph of **loss** as a function of training
**iterations**. For example:

The loss curve can help you determine when your model is
**converging**, **overfitting**,
or **underfitting**.

## loss surface

A graph of weight(s) vs. loss. **Gradient descent** aims
to find the weight(s) for which the loss surface is at a local minimum.

## LSTM

Abbreviation for **Long Short-Term Memory**.

## M

## machine learning

A program or system that builds (trains) a predictive model from input data. The system uses the learned model to make useful predictions from new (never-before-seen) data drawn from the same distribution as the one used to train the model. Machine learning also refers to the field of study concerned with these programs or systems.

## majority class

The more common label in a
**class-imbalanced dataset**. For example,
given a dataset containing 99% non-spam labels and 1% spam labels, the
non-spam labels are the majority class.

## matplotlib

An open-source Python 2D plotting library. matplotlib helps you visualize different aspects of machine learning.

## matrix factorization

In math, a mechanism for finding the matrices whose dot product approximates a target matrix.

In **recommendation systems**, the target matrix
often holds users' ratings on **items**. For example, the target
matrix for a movie recommendation system might look something like the
following, where the positive integers are user ratings and 0
means that the user didn't rate the movie:

Casablanca | The Philadelphia Story | Black Panther | Wonder Woman | Pulp Fiction | |
---|---|---|---|---|---|

User 1 | 5.0 | 3.0 | 0.0 | 2.0 | 0.0 |

User 2 | 4.0 | 0.0 | 0.0 | 1.0 | 5.0 |

User 3 | 3.0 | 1.0 | 4.0 | 5.0 | 0.0 |

The movie recommendation system aims to predict user ratings for
unrated movies. For example, will User 1 like *Black Panther*?

One approach for recommendation systems is to use matrix factorization to generate the following two matrices:

- A
**user matrix**, shaped as the number of users X the number of embedding dimensions. - An
**item matrix**, shaped as the number of embedding dimensions X the number of users.

For example, using matrix factorization on our three users and five items could yield the following user matrix and item matrix:

User Matrix Item Matrix 1.1 2.3 0.9 0.2 1.4 2.0 1.2 0.6 2.0 1.7 1.2 1.2 -0.1 2.1 2.5 0.5

The dot product of the user matrix and item matrix yields a recommendation
matrix that contains not only the original user ratings but also predictions
for the movies that each user hasn't seen.
For example, consider User 1's rating of *Casablanca*, which was 5.0. The dot
product corresponding to that cell in the recommendation matrix should
hopefully be around 5.0, and it is:

(1.1 * 0.9) + (2.3 * 1.7) = 4.9

More importantly, will User 1 like *Black Panther*? Taking the dot product
corresponding to the first row and the third column yields a predicted
rating of 4.3:

(1.1 * 1.4) + (2.3 * 1.2) = 4.3

Matrix factorization typically yields a user matrix and item matrix that, together, are significantly more compact than the target matrix.

## Mean Squared Error (MSE)

The average squared loss per example. MSE is calculated by dividing the
**squared loss** by the number of
**examples**. The values that
**TensorFlow Playground** displays for
"Training loss" and "Test loss" are MSE.

## metric

A number that you care about. May or may not be directly optimized in a
machine-learning system. A metric that your system tries to optimize is
called an **objective**.

## Metrics API (tf.metrics)

A TensorFlow API for evaluating models. For example, `tf.metrics.accuracy`

determines how often a model's predictions match labels. When writing a
**custom Estimator**, you invoke Metrics API functions to
specify how your model should be evaluated.

## mini-batch

A small, randomly selected subset of the entire batch of
**examples** run together in a single iteration of training
or inference. The **batch size** of a mini-batch is usually
between 10 and 1,000. It is much more efficient to calculate the loss on a
mini-batch than on the full training data.

## mini-batch stochastic gradient descent (SGD)

A **gradient descent** algorithm that uses
**mini-batches**. In other words, mini-batch SGD estimates the
gradient based on a small subset of the training data. **Vanilla SGD**
uses a mini-batch of size 1.

## minimax loss

A loss function for
**generative adversarial networks**,
based on the **cross-entropy** between the distribution
of generated data and real data.

Minimax loss is used in the first paper to describe generative adversarial networks.

## minority class

The less common label in a
**class-imbalanced dataset**. For example,
given a dataset containing 99% non-spam labels and 1% spam labels, the
spam labels are the minority class.

## ML

Abbreviation for **machine learning**.

## MNIST

A public-domain dataset compiled by LeCun, Cortes, and Burges containing 60,000 images, each image showing how a human manually wrote a particular digit from 0–9. Each image is stored as a 28x28 array of integers, where each integer is a grayscale value between 0 and 255, inclusive.

MNIST is a canonical dataset for machine learning, often used to test new ML approaches. For details, see The MNIST Database of Handwritten Digits.

## model

The representation of what an ML system has learned from the training data. Within TensorFlow, model is an overloaded term, which can have either of the following two related meanings:

- The
**TensorFlow**graph that expresses the structure of how a prediction will be computed. - The particular weights and biases of that TensorFlow graph, which are
determined by
**training**.

## model capacity

The complexity of problems that a model can learn. The more complex the problems that a model can learn, the higher the model’s capacity. A model’s capacity typically increases with the number of model parameters. For a formal definition of classifier capacity, see VC dimension.

## model function

The function within an **Estimator** that implements
ML training, evaluation, and inference. For example, the training portion of
a model function might handle tasks such as defining the topology of a
deep neural network and identifying its **optimizer** function.
When using **premade Estimators**, someone has
already written the model function for you. When using
**custom Estimators**, you must write the model
function yourself.

For details about writing a model function, see the Creating Custom Estimators chapter in the TensorFlow Programmers Guide.

## model training

The process of determining the best **model**.

## Momentum

A sophisticated gradient descent algorithm in which a learning step depends not only on the derivative in the current step, but also on the derivatives of the step(s) that immediately preceded it. Momentum involves computing an exponentially weighted moving average of the gradients over time, analogous to momentum in physics. Momentum sometimes prevents learning from getting stuck in local minima.

## multi-class classification

Classification problems that distinguish among more than two classes. For
example, there are approximately 128 species of maple trees, so a model
that categorized maple tree species would be multi-class. Conversely, a
model that divided emails into only two categories (*spam* and *not spam*)
would be a **binary classification model**.

## multinomial classification

Synonym for **multi-class classification**.

## N

## NaN trap

When one number in your model becomes a NaN during training, which causes many or all other numbers in your model to eventually become a NaN.

NaN is an abbreviation for "Not a Number."

## natural language understanding

Determining a user's intentions based on what the user typed or said. For example, a search engine uses natural language understanding to determine what the user is searching for based on what the user typed or said.

## negative class

In **binary classification**, one class is
termed positive and the other is termed negative. The positive class is
the thing we're looking for and the negative class is the other possibility.
For example, the negative class in a medical test might be "not tumor."
The negative class in an email classifier might be "not spam."
See also **positive class**.

## neural network

A model that, taking inspiration from the brain, is composed of layers
(at least one of which is **hidden**) consisting of
simple connected units or **neurons** followed by nonlinearities.

## neuron

A node in a **neural network**, typically taking in
multiple input values and generating one output value. The neuron calculates
the output value by applying an
**activation function** (nonlinear transformation)
to a weighted sum of input values.

## N-gram

An ordered sequence of N words. For example, *truly madly* is a 2-gram. Because
order is relevant, *madly truly* is a different 2-gram than *truly madly*.

N | Name(s) for this kind of N-gram | Examples |
---|---|---|

2 | bigram or 2-gram | to go, go to, eat lunch, eat dinner |

3 | trigram or 3-gram | ate too much, three blind mice, the bell tolls |

4 | 4-gram | walk in the park, dust in the wind, the boy ate lentils |

Many **natural language understanding**
models rely on N-grams to predict the next word that the user will type
or say. For example, suppose a user typed *three blind*.
An NLU model based on trigrams would likely predict that the
user will next type *mice*.

Contrast N-grams with **bag of words**, which are
unordered sets of words.

## NLU

Abbreviation for **natural language
understanding**.

## node (neural network)

A **neuron** in a **hidden layer**.

## node (TensorFlow graph)

An operation in a TensorFlow **graph**.

## noise

Broadly speaking, anything that obscures the signal in a dataset. Noise can be introduced into data in a variety of ways. For example:

- Human raters make mistakes in labeling.
- Humans and instruments mis-record or omit feature values.

## non-response bias

See **selection bias**.

## normalization

The process of converting an actual range of values into a standard range of values, typically -1 to +1 or 0 to 1. For example, suppose the natural range of a certain feature is 800 to 6,000. Through subtraction and division, you can normalize those values into the range -1 to +1.

See also **scaling**.

## numerical data

**Features** represented as integers or real-valued numbers.
For example, in a real estate model, you would probably represent the size
of a house (in square feet or square meters) as numerical data. Representing
a feature as numerical data indicates that the feature's values have
a *mathematical* relationship to each other and possibly to the label.
For example, representing the size of a house as numerical data indicates
that a 200 square-meter house is twice as large as a 100 square-meter house.
Furthermore, the number of square meters in a house probably has some
mathematical relationship to the price of the house.

Not all integer data should be represented as numerical data. For example,
postal codes in some parts of the world are integers; however, integer postal
codes should not be represented as numerical data in models. That's because a
postal code of `20000`

is not twice (or half) as potent as a postal code of
10000. Furthermore, although different postal codes *do* correlate to different
real estate values, we can't assume that real estate values at postal code
20000 are twice as valuable as real estate values at postal code 10000.
Postal codes should be represented as **categorical data**
instead.

Numerical features are sometimes called
**continuous features**.

## NumPy

An
open-source math library
that provides efficient array operations in Python.
**pandas** is built on NumPy.

## O

## objective

A metric that your algorithm is trying to optimize.

## objective function

The mathematical formula or metric that a model aims to optimize.
For example, the objective function for
**linear regression** is usually
**squared loss**. Therefore, when training a
linear regression model, the goal is to minimize squared loss.

In some cases, the goal is to maximize the objective function. For example, if the objective function is accuracy, the goal is to maximize accuracy.

See also **loss**.

## offline inference

Generating a group of **predictions**, storing those
predictions, and then retrieving those predictions on demand. Contrast
with **online inference**.

## one-hot encoding

A sparse vector in which:

- One element is set to 1.
- All other elements are set to 0.

One-hot encoding is commonly used to represent strings or identifiers that have a finite set of possible values. For example, suppose a given botany dataset chronicles 15,000 different species, each denoted with a unique string identifier. As part of feature engineering, you'll probably encode those string identifiers as one-hot vectors in which the vector has a size of 15,000.

## one-shot learning

A machine learning approach, often used for object classification, designed to learn effective classifiers from a single training example.

See also **few-shot learning**.

## one-vs.-all

Given a classification problem with N possible solutions, a one-vs.-all
solution consists of N separate
**binary classifiers**—one binary classifier for
each possible outcome. For example, given a model that classifies examples
as animal, vegetable, or mineral, a one-vs.-all solution would provide the
following three separate binary classifiers:

- animal vs. not animal
- vegetable vs. not vegetable
- mineral vs. not mineral

## online inference

Generating **predictions** on demand. Contrast with
**offline inference**.

## Operation (op)

A node in the TensorFlow graph. In TensorFlow, any procedure that creates,
manipulates, or destroys a **Tensor** is an operation. For
example, a matrix multiply is an operation that takes two Tensors as
input and generates one Tensor as output.

## optimizer

A specific implementation of the **gradient descent**
algorithm. TensorFlow's base class for optimizers is
tf.train.Optimizer.
Different optimizers may leverage one or more of the following concepts
to enhance the effectiveness of gradient descent on a
given **training set**:

- momentum (Momentum)
- update frequency (AdaGrad = ADAptive GRADient descent; (Adam = ADAptive with Momentum; RMSProp)
- sparsity/regularization (Ftrl)
- more complex math (Proximal, and others)

You might even imagine an NN-driven optimizer.

## out-group homogeneity bias

The tendency to see out-group members as more alike than in-group members
when comparing attitudes, values, personality traits, and other
characteristics. **In-group** refers to people you interact with regularly;
**out-group** refers to people you do not interact with regularly. If you
create a dataset by asking people to provide attributes about
out-groups, those attributes may be less nuanced and more stereotyped
than attributes that participants list for people in their in-group.

For example, Lilliputians might describe the houses of other Lilliputians in great detail, citing small differences in architectural styles, windows, doors, and sizes. However, the same Lilliputians might simply declare that Brobdingnagians all live in identical houses.

Out-group homogeneity bias is a form of
**group attribution bias**.

See also **in-group bias**.

## outliers

Values distant from most other values. In machine learning, any of the following are outliers:

**Weights**with high absolute values.- Predicted values relatively far away from the actual values.
- Input data whose values are more than roughly 3 standard deviations from the mean.

Outliers often cause problems in model training. **Clipping**
is one way of managing outliers.

## output layer

The "final" layer of a neural network. The layer containing the answer(s).

## overfitting

Creating a model that matches the **training data** so
closely that the model fails to make correct predictions on new data.

## P

## pandas

A column-oriented data analysis API. Many ML frameworks, including TensorFlow, support pandas data structures as input. See the pandas documentation for details.

## parameter

A variable of a model that the ML system trains on its own. For example,
**weights** are parameters whose values the ML system gradually
learns through successive training iterations. Contrast with
**hyperparameter**.

## Parameter Server (PS)

A job that keeps track of a model's **parameters** in a
distributed setting.

See the TensorFlow Architecture chapter in the TensorFlow Programmers Guide for details.

## parameter update

The operation of adjusting a model's **parameters** during
training, typically within a single iteration of
**gradient descent**.

## partial derivative

A derivative in which all but one of the variables is considered a constant.
For example, the partial derivative of *f(x, y)* with respect to *x* is the
derivative of *f* considered as a function of *x* alone (that is, keeping *y*
constant). The partial derivative of *f* with respect to *x* focuses only on
how *x* is changing and ignores all other variables in the equation.

## participation bias

Synonym for non-response bias. See **selection bias**.

## partitioning strategy

The algorithm by which variables are divided across
**parameter servers**.

## perceptron

A system (either hardware or software) that takes in one or more input values,
runs a function on the weighted sum of the inputs, and computes a single
output value. In machine learning, the function is typically nonlinear, such as
**ReLU**, **sigmoid**, or tanh.
For example, the following perceptron relies on the sigmoid function to process
three input values:

In the following illustration, the perceptron takes three inputs, each of which is itself modified by a weight before entering the perceptron:

Perceptrons are the (**nodes**) in **deep neural
networks**. That is, a deep neural network consists of
multiple connected perceptrons, plus a
**backpropagation** algorithm to introduce feedback.

## performance

Overloaded term with the following meanings:

- The traditional meaning within software engineering. Namely: How fast (or efficiently) does this piece of software run?
- The meaning within ML. Here, performance answers the following question:
How correct is this
**model**? That is, how good are the model's predictions?

## perplexity

One measure of how well a **model** is accomplishing its task.
For example, suppose your task is to read the first few letters of a word
a user is typing on a smartphone keyboard, and to offer a list of possible
completion words. Perplexity, P, for this task is approximately the number
of guesses you need to offer in order for your list to contain the actual
word the user is trying to type.

Perplexity is related to **cross-entropy** as follows:

## pipeline

The infrastructure surrounding a machine learning algorithm. A pipeline includes gathering the data, putting the data into training data files, training one or more models, and exporting the models to production.

## pooling

Reducing a matrix (or matrices) created by an earlier
**convolutional layer** to a smaller matrix.
Pooling usually involves taking either the maximum or average value
across the pooled area. For example, suppose we have the
following 3x3 matrix:

A pooling operation, just like a convolutional operation, divides that
matrix into slices and then slides that convolutional operation by
**strides**. For example, suppose the pooling operation
divides the convolutional matrix into 2x2 slices with a 1x1 stride.
As the following diagram illustrates, four pooling operations take place.
Imagine that each pooling operation picks the maximum value of the
four in that slice:

Pooling helps enforce
**translational invariance** in the input matrix.

Pooling for vision applications is known more formally as **spatial pooling**.
Time-series applications usually refer to pooling as **temporal pooling**.
Less formally, pooling is often called **subsampling** or **downsampling**.

## positive class

In **binary classification**, the two possible
classes are labeled as positive and negative. The positive outcome is the
thing we're testing for. (Admittedly, we're simultaneously testing for
both outcomes, but play along.) For example, the positive class in a
medical test might be "tumor." The positive class in an email classifier
might be "spam."

Contrast with **negative class**.

## precision

A metric for **classification models**. Precision
identifies the frequency with which a model was correct when predicting the
**positive class**. That is:

## prediction

A model's output when provided with an input **example**.

## prediction bias

A value indicating how far apart the average of
**predictions** is from the average of **labels**
in the dataset.

Not to be confused with the **bias term** in machine learning models
or with **bias in ethics and fairness**.

## premade Estimator

An **Estimator** that someone has already built.
TensorFlow provides several premade Estimators, including `DNNClassifier`

,
`DNNRegressor`

, and `LinearClassifier`

. To learn more about
premade Estimators, see the
Premade Estimators chapter in the TensorFlow Programmers Guide.

Contrast with **custom estimators**.

## pre-trained model

Models or model components (such as **embeddings**) that have
been already been trained. Sometimes, you'll feed pre-trained embeddings
into a **neural network**. Other times, your model will
train the embeddings itself rather than rely on the pre-trained embeddings.

## prior belief

What you believe about the data before you begin training on it. For
example, **L _{2} regularization** relies on
a prior belief that

**weights**should be small and normally distributed around zero.

## proxy labels

Data used to approximate labels not directly available in a dataset.

For example, suppose you want *is it raining?* to be a Boolean label
for your dataset, but the dataset doesn't contain rain data. If
photographs are available, you might establish pictures of people
carrying umbrellas as a proxy label for *is it raining?* However,
proxy labels may distort results. For example, in some places, it
may be more common to carry umbrellas to protect against sun than
the rain.

## Q

## quantile

Each bucket in **quantile bucketing**.

## quantile bucketing

Distributing a feature's values into **buckets** so that each
bucket contains the same (or almost the same) number of examples. For example,
the following figure divides 44 points into 4 buckets, each of which
contains 11 points. In order for each bucket in the figure to contain the
same number of points, some buckets span a different width of x-values.

## quantization

An algorithm that implements **quantile bucketing** on
a particular **feature** in a **dataset**.

## queue

A TensorFlow **Operation** that implements a queue data
structure. Typically
used in I/O.

## R

## random forest

An ensemble approach to finding the **decision tree** that
best fits the training data by creating many decision trees and then
determining the "average" one. The "random" part of the term refers to
building each of the decision trees from a random selection of features;
the "forest" refers to the set of decision trees.

## rank (ordinality)

The ordinal position of a class in an ML problem that categorizes classes from highest to lowest. For example, a behavior ranking system could rank a dog's rewards from highest (a steak) to lowest (wilted kale).

## rank (Tensor)

The number of dimensions in a **Tensor**. For instance,
a scalar has rank 0, a vector has rank 1, and a matrix has rank 2.

Not to be confused with **rank (ordinality)**.

## rater

A human who provides **labels** in **examples**.
Sometimes called an "annotator."

## recall

A metric for **classification models** that answers
the following question: Out of all the possible positive labels, how many
did the model correctly identify? That is:

\[\text{Recall} = \frac{\text{True Positives}} {\text{True Positives} + \text{False Negatives}} \]

## recommendation system

A system that selects for each user a relatively small set of desirable
**items** from a large corpus.
For example, a video recommendation system might recommend two videos
from a corpus of 100,000 videos, selecting *Casablanca* and
*The Philadelphia Story* for one user, and *Wonder Woman* and
*Black Panther* for another. A video recommendation system might
base its recommendations on factors such as:

- Movies that similar users have rated or watched.
- Genre, directors, actors, target demographic...

## Rectified Linear Unit (ReLU)

An **activation function** with the following rules:

- If input is negative or zero, output is 0.
- If input is positive, output is equal to input.

## recurrent neural network

A **neural network** that is intentionally run multiple
times, where parts of each run feed into the next run. Specifically,
hidden layers from the previous run provide part of the
input to the same hidden layer in the next run. Recurrent neural networks
are particularly useful for evaluating sequences, so that the hidden layers
can learn from previous runs of the neural network on earlier parts of
the sequence.

For example, the following figure shows a recurrent neural network that runs four times. Notice that the values learned in the hidden layers from the first run become part of the input to the same hidden layers in the second run. Similarly, the values learned in the hidden layer on the second run become part of the input to the same hidden layer in the third run. In this way, the recurrent neural network gradually trains and predicts the meaning of the entire sequence rather than just the meaning of individual words.

## regression model

A type of model that outputs continuous (typically, floating-point) values.
Compare with **classification models**, which
output discrete values, such as "day lily" or "tiger lily."

## regularization

The penalty on a model's complexity. Regularization helps prevent
**overfitting**. Different kinds of regularization include:

**L**_{1}regularization**L**_{2}regularization**dropout regularization****early stopping**(this is not a formal regularization method, but can effectively limit overfitting)

## regularization rate

A scalar value, represented as lambda, specifying the relative importance
of the regularization function. The following simplified **loss**
equation shows the regularization rate's influence:

Raising the regularization rate reduces **overfitting**
but may make the model less **accurate**.

## reinforcement learning

A machine learning approach to maximize an ultimate reward through feedback (rewards and punishments) after a sequence of actions. For example, the ultimate reward of most games is victory. Reinforcement learning systems can become expert at playing complex games by evaluating sequences of previous game moves that ultimately led to wins and sequences that ultimately led to losses.

## reporting bias

The fact that the frequency with which people write about actions, outcomes, or properties is not a reflection of their real-world frequencies or the degree to which a property is characteristic of a class of individuals. Reporting bias can influence the composition of data that ML systems learn from.

For example, in books, the word *laughed* is more prevalent than
*breathed*. An ML model that estimates the relative frequency of
laughing and breathing from a book corpus would probably determine
that laughing is more common than breathing.

## representation

The process of mapping data to useful **features**.

## re-ranking

The final stage of a **recommendation system**,
during which scored items may be re-graded according to some other
(typically, non-ML) algorithm. Re-ranking evaluates the list of items
generated by the **scoring** phase, taking actions such as:

- Eliminating items that the user has already purchased.
- Boosting the score of fresher items.

## ridge regularization

Synonym for **L _{2} regularization**. The term

**ridge regularization**is more frequently used in pure statistics contexts, whereas

**L**is used more often in machine learning.

_{2}regularization## RNN

Abbreviation for **recurrent neural networks**.

## ROC (receiver operating characteristic) Curve

A curve of **true positive rate** vs.
**false positive rate** at different
**classification thresholds**. See also
**AUC**.

## root directory

The directory you specify for hosting subdirectories of the TensorFlow checkpoint and events files of multiple models.

## Root Mean Squared Error (RMSE)

The square root of the **Mean Squared Error**.

## rotational invariance

In an image classification problem, an algorithm's ability to successfully classify images even when the orientation of the image changes. For example, the algorithm can still identify a tennis racket whether it is pointing up, sideways, or down. Note that rotational invariance is not always desirable; for example, an upside-down 9 should not be classified as a 9.

See also **translational invariance** and
**size invariance**.

## S

## sampling bias

See **selection bias**.

## SavedModel

The recommended format for saving and recovering TensorFlow models. SavedModel is a language-neutral, recoverable serialization format, which enables higher-level systems and tools to produce, consume, and transform TensorFlow models.

See the Saving and Restoring chapter in the TensorFlow Programmer's Guide for complete details.

## Saver

A TensorFlow object responsible for saving model checkpoints.

## scalar

A single number or a single string that can be designated a
**tensor** of **rank** 0. For example, the following
lines of code each create one scalar in TensorFlow:

breed = tf.Variable("poodle", tf.string) temperature = tf.Variable(27, tf.int16) precision = tf.Variable(0.982375101275, tf.float64)

## scaling

A commonly used practice in **feature engineering**
to tame a feature's range of values to match the range of other features in
the dataset. For example, suppose that you want all floating-point features
in the dataset to have a range of 0 to 1. Given a particular feature's
range of 0 to 500, you could scale that feature by dividing each value
by 500.

See also **normalization**.

## scikit-learn

A popular open-source ML platform. See www.scikit-learn.org.

## scoring

The part of a **recommendation system** that
provides a value or ranking for each item produced by the
**candidate generation** phase.

## selection bias

Errors in conclusions drawn from sampled data due to a selection process that generates systematic differences between samples observed in the data and those not observed. The following forms of selection bias exist:

**coverage bias**: The population represented in the dataset does not match the population that the ML model is making predictions about.**sampling bias**: Data is not collected randomly from the target group.**non-response bias**(also called**participation bias**): Users from certain groups opt-out of surveys at different rates than users from other groups.

For example, suppose you are creating an ML model that predicts people's enjoyment of a movie. To collect training data, you hand out a survey to everyone in the front row of a theater showing the movie. Offhand, this may sound like a reasonable way to gather a dataset; however, this form of data collection may introduce the following forms of selection bias:

- coverage bias: By sampling from a population who chose to see the movie, your model's predictions may not generalize to people who did not already express that level of interest in the movie.
- sampling bias: Rather than randomly sampling from the intended population (all the people at the movie), you sampled only the people in the front row. It is possible that the people sitting in the front row were more interested in the movie than those in other rows.
- non-response bias: In general, people with strong opinions tend to respond to optional surveys more frequently than people with mild opinions. Since the movie survey is optional, the responses are more likely to form a bimodal distribution than a normal (bell-shaped) distribution.

## semi-supervised learning

Training a model on data where some of the training examples have labels but others don’t. One technique for semi-supervised learning is to infer labels for the unlabeled examples, and then to train on the inferred labels to create a new model. Semi-supervised learning can be useful if labels are expensive to obtain but unlabeled examples are plentiful.

## sentiment analysis

Using statistical or machine learning algorithms to determine a group's
overall attitude—positive or negative—toward a service, product,
organization, or topic. For example, using
**natural language understanding**,
an algorithm could perform sentiment analysis on the textual feedback
from a university course to determine the degree to which students
generally liked or disliked the course.

## sequence model

A model whose inputs have a sequential dependence. For example, predicting the next video watched from a sequence of previously watched videos.

## serving

A synonym for **inferring**.

## session (tf.session)

An object that encapsulates the state of the TensorFlow runtime
and runs all or part of a **graph**. When using the
low-level TensorFlow APIs, you instantiate and manage one or more
`tf.session`

objects directly. When using the Estimators API,
Estimators instantiate session objects for you.

## shape (Tensor)

The number of elements in each **dimension** of a
tensor. The shape is represented as a list of integers. For example,
the following two-dimensional tensor has a shape of [3,4]:

[[5, 7, 6, 4], [2, 9, 4, 8], [3, 6, 5, 1]]

TensorFlow uses row-major (C-style) format to represent the order of
dimensions, which is why the shape in TensorFlow is [3,4] rather than
[4,3]. In other words, in a two-dimensional TensorFlow Tensor, the shape
is [*number of rows*, *number of columns*].

## sigmoid function

A function that maps logistic or multinomial regression output (log odds) to probabilities, returning a value between 0 and 1. The sigmoid function has the following formula:

where \(\sigma\) in **logistic regression** problems
is simply:

In other words, the sigmoid function converts \(\sigma\) into a probability between 0 and 1.

In some **neural networks**, the sigmoid function acts as
the **activation function**.

## similarity measure

In **clustering** algorithms, the metric used to determine
how alike (how similar) any two examples are.

## size invariance

In an image classification problem, an algorithm's ability to successfully classify images even when the size of the image changes. For example, the algorithm can still identify a cat whether it consumes 2M pixels or 200K pixels. Note that even the best image classification algorithms still have practical limits on size invariance. For example, an algorithm (or human) is unlikely to correctly classify a cat image consuming only 20 pixels.

See also **translational invariance** and
**rotational invariance**.

## sketching

In **unsupervised machine learning**,
a category of algorithms that perform a preliminary similarity analysis
on examples. Sketching algorithms use a
locality-sensitive hash function
to identify points that are likely to be similar, and then group
them into buckets.

Sketching decreases the computation required for similarity calculations on large datasets. Instead of calculating similarity for every single pair of examples in the dataset, we calculate similarity only for each pair of points within each bucket.

## softmax

A function that provides probabilities for each possible class in a
**multi-class classification model**. The probabilities add up
to exactly 1.0. For example, softmax might determine that the probability of a
particular image being a dog at 0.9, a cat at 0.08, and a horse at 0.02.
(Also called **full softmax**.)

Contrast with **candidate sampling**.

## sparse feature

**Feature** vector whose values are predominately zero or empty.
For example, a vector containing a single 1 value and a million 0 values is
sparse. As another example, words in a search query could also be a
sparse feature—there are many possible words in a given language, but only a
few of them occur in a given query.

Contrast with **dense feature**.

## sparse representation

A **representation** of a tensor that only stores
nonzero elements.

For example, the English language consists of about a million words. Consider two ways to represent a count of the words used in one English sentence:

- A
**dense representation**of this sentence must set an integer for all one million cells, placing a 0 in most of them, and a low integer into a few of them. - A sparse representation of this sentence stores only those cells symbolizing a word actually in the sentence. So, if the sentence contained only 20 unique words, then the sparse representation for the sentence would store an integer in only 20 cells.

For example, consider two ways to represent the sentence, "Dogs wag tails." As the following tables show, the dense representation consumes about a million cells; the sparse representation consumes only 3 cells:

Cell Number | Word | Occurrence |
---|---|---|

0 | a | 0 |

1 | aardvark | 0 |

2 | aargh | 0 |

3 | aarti | 0 |

… 140,391 more words with an occurrence of 0 |
||

140395 | dogs | 1 |

… 633,062 words with an occurrence of 0 |
||

773458 | tails | 1 |

… 189,136 words with an occurrence of 0 |
||

962594 | wag | 1 |

… many more words with an occurrence of 0 |

Cell Number | Word | Occurrence |
---|---|---|

140395 | dogs | 1 |

773458 | tails | 1 |

962594 | wag | 1 |

## sparse vector

A vector whose values are mostly zeroes. See also **sparse
feature**.

## sparsity

The number of elements set to zero (or null) in a vector or matrix divided by the total number of entries in that vector or matrix. For example, consider a 10x10 matrix in which 98 cells contain zero. The calculation of sparsity is as follows:

**Feature sparsity** refers to the sparsity of a feature vector;
**model sparsity** refers to the sparsity of the model weights.

## spatial pooling

See **pooling**.

## squared hinge loss

The square of the **hinge loss**. Squared hinge loss penalizes
outliers more harshly than regular hinge loss.

## squared loss

The **loss** function used in
**linear regression**. (Also known as
**L _{2} Loss**.) This function calculates the squares of
the difference between a model's predicted value for a labeled

**example**and the actual value of the

**label**. Due to squaring, this loss function amplifies the influence of bad predictions. That is, squared loss reacts more strongly to outliers than

**L**.

_{1}loss## static model

A model that is trained offline.

## stationarity

A property of data in a dataset, in which the data distribution stays constant across one or more dimensions. Most commonly, that dimension is time, meaning that data exhibiting stationarity doesn't change over time. For example, data that exhibits stationarity doesn't change from September to December.

## step

A forward and backward evaluation of one **batch**.

## step size

Synonym for **learning rate**.

## stochastic gradient descent (SGD)

A **gradient descent** algorithm in which the batch size
is one. In other words, SGD relies on a single example chosen uniformly at
random from a dataset to calculate an estimate of the gradient at each step.

## stride

In a convolutional operation or pooling, the delta in each dimension of the next series of input slices. For example, the following animation demonstrates a (1,1) stride during a convolutional operation. Therefore, the next input slice starts one position to the right of the previous input slice. When the operation reaches the right edge, the next slice is all the way over to the left but one position down.

The preceding example demonstrates a two-dimensional stride. If the input matrix is three-dimensional, the stride would also be three-dimensional.

## structural risk minimization (SRM)

An algorithm that balances two goals:

- The desire to build the most predictive model (for example, lowest loss).
- The desire to keep the model as simple as possible (for example, strong regularization).

For example, a function that minimizes loss+regularization on the training set is a structural risk minimization algorithm.

For more information, see http://www.svms.org/srm/.

Contrast with **empirical risk minimization**.

## subsampling

See **pooling**.

## summary

In TensorFlow, a value or set of values calculated at a particular
**step**, usually used for tracking model metrics during training.

## supervised machine learning

Training a **model** from input data and its corresponding
**labels**. Supervised machine learning is analogous to a student
learning a subject by studying a set of questions and their corresponding
answers. After mastering the mapping between questions and answers, the
student can then provide answers to new (never-before-seen) questions on
the same topic. Compare with
**unsupervised machine learning**.

## synthetic feature

A **feature** not present among the input features, but
created from one or more of them. Kinds of synthetic features include:

**Bucketing**a continuous feature into range bins.- Multiplying (or dividing) one feature value by other feature value(s) or by itself.
- Creating a
**feature cross**.

Features created by **normalizing** or **scaling**
alone are not considered synthetic features.

## T

## target

Synonym for **label**.

## temporal data

Data recorded at different points in time. For example, winter coat sales recorded for each day of the year would be temporal data.

## Tensor

The primary data structure in TensorFlow programs. Tensors are N-dimensional (where N could be very large) data structures, most commonly scalars, vectors, or matrices. The elements of a Tensor can hold integer, floating-point, or string values.

## TensorBoard

The dashboard that displays the summaries saved during the execution of one or more TensorFlow programs.

## TensorFlow

A large-scale, distributed, machine learning platform. The term also refers to the base API layer in the TensorFlow stack, which supports general computation on dataflow graphs.

Although TensorFlow is primarily used for machine learning, you may also use TensorFlow for non-ML tasks that require numerical computation using dataflow graphs.

## TensorFlow Playground

A program that visualizes how different
**hyperparameters** influence model
(primarily neural network) training.
Go to
http://playground.tensorflow.org
to experiment with TensorFlow Playground.

## TensorFlow Serving

A platform to deploy trained models in production.

## Tensor Processing Unit (TPU)

An ASIC (application-specific integrated circuit) that optimizes the performance of TensorFlow programs.

## Tensor rank

See **rank (Tensor)**.

## Tensor shape

The number of elements a **Tensor** contains in various dimensions.
For example, a [5, 10] Tensor has a shape of 5 in one dimension and 10
in another.

## Tensor size

The total number of scalars a **Tensor** contains. For example, a
[5, 10] Tensor has a size of 50.

## test set

The subset of the dataset that you use to test your **model**
after the model has gone through initial vetting by the validation set.

Contrast with **training set** and
**validation set**.

## tf.Example

A standard protocol buffer for describing input data for machine learning model training or inference.

## tf.keras

An implementation of **Keras** integrated into
**TensorFlow**.

## time series analysis

A subfield of machine learning and statistics that analyzes
**temporal data**. Many types of machine learning
problems require time series analysis, including classification, clustering,
forecasting, and anomaly detection. For example, you could use
time series analysis to forecast the future sales of winter coats by month
based on historical sales data.

## timestep

One "unrolled" cell within a
**recurrent neural network**.
For example, the following figure shows three timesteps (labeled with
the subscripts t-1, t, and t+1):

## tower

A component of a **deep neural network** that
is itself a deep neural network without an output layer. Typically,
each tower reads from an independent data source. Towers are independent
until their output is combined in a final layer.

## TPU

Abbreviation for **Tensor Processing Unit**.

## TPU chip

A programmable linear algebra accelerator whose performance is optimized for machine learning workloads, specifically the training phase. Also known as a shard.

## TPU device

A board with 4 TPU chips, where each chip has two cores for a total of 8 cores of ML compute. Current TPU device versions are referred to as either TPU v2-8 or TPU v3-8. Each board is used independently, connected to Google Cloud through normal networking infrastructure. In Cloud, access to the TPUs is instantiated through Cloud TPU APIs.

## TPU master

The central coordination process running on a host machine that sends and receives data and results, programs, and performance and health data to the TPU workers. It also manages the setup and shutdown of devices in a TPU configuration.

## TPU node

One of two independent processors (cores) on a TPU chip.

## TPU Pod

A set quantity of **TPU devices**, connected to one
another through a high-speed network. For example, a TPU version 2 Pod
contains 64 networked TPU devices. A full TPU version 2 Pod is referred
to as v2-512.

## TPU resource

An identifier for a TPU instantiation.

## TPU slice

A supported subset of a **TPU Pod** that a user can specify.
For example a TPU v2 Pod slice could be v2-32 (TPU v2 containing 32 cores)
up to a full pod of v2-512 (TPU v2 containing 512 cores).

## TPU worker

A process running on a host machine connected to a TPU that executes
**TensorFlow** programs on the TPU node.

## training

The process of determining the ideal **parameters** comprising
a model.

## training set

The subset of the dataset used to train a model.

Contrast with **validation set** and
**test set**.

## transfer learning

Transferring information from one machine learning task to another.
For example, in multi-task learning, a single model solves multiple tasks,
such as a **deep model** that has different output nodes for
different tasks. Transfer learning might involve transferring knowledge
from the solution of a simpler task to a more complex one, or involve
transferring knowledge from a task where there is more data to one where
there is less data.

Most machine learning systems solve a *single* task. Transfer learning is a
baby step towards artificial intelligence in which a single program can solve
*multiple* tasks.

## translational invariance

In an image classification problem, an algorithm's ability to successfully classify images even when the position of objects within the image changes. For example, the algorithm can still identify a dog, whether it is in the center of the frame or at the left end of the frame.

See also **size invariance** and
**rotational invariance**.

## trigram

An **N-gram** in which N=3.

## true negative (TN)

An example in which the model *correctly* predicted the
**negative class**. For example, the model inferred that
a particular email message was not spam, and that email message really was
not spam.

## true positive (TP)

An example in which the model *correctly* predicted the
**positive class**. For example, the model inferred that
a particular email message was spam, and that email message really was spam.

## true positive rate (TPR)

Synonym for **recall**. That is:

True positive rate is the y-axis in an **ROC curve**.

## U

## underfitting

Producing a model with poor predictive ability because the model hasn't captured the complexity of the training data. Many problems can cause underfitting, including:

- Training on the wrong set of features.
- Training for too few epochs or at too low a learning rate.
- Training with too high a regularization rate.
- Providing too few hidden layers in a deep neural network.

## unlabeled example

An example that contains **features** but no **label**.
Unlabeled examples are the input to **inference**. In
**semi-supervised** and
**unsupervised** learning,
unlabeled examples are used during training.

## unsupervised machine learning

Training a **model** to find patterns in a dataset, typically an
unlabeled dataset.

The most common use of unsupervised machine learning is to cluster data into groups of similar examples. For example, an unsupervised machine learning algorithm can cluster songs together based on various properties of the music. The resulting clusters can become an input to other machine learning algorithms (for example, to a music recommendation service). Clustering can be helpful in domains where true labels are hard to obtain. For example, in domains such as anti-abuse and fraud, clusters can help humans better understand the data.

Another example of unsupervised machine learning is principal component analysis (PCA). For example, applying PCA on a dataset containing the contents of millions of shopping carts might reveal that shopping carts containing lemons frequently also contain antacids.

Compare with **supervised machine learning**.

## upweighting

Applying a weight to the **downsampled** class equal
to the factor by which you downsampled.

## user matrix

In **recommendation systems**, an
**embedding** generated by
**matrix factorization**
that holds latent signals about user preferences.
Each row of the user matrix holds information about the relative
strength of various latent signals for a single user.
For example, consider a movie recommendation system. In this system,
the latent signals in the user matrix might represent each user's interest
in particular genres, or might be harder-to-interpret signals that involve
complex interactions across multiple factors.

The user matrix has a column for each latent feature and a row for each user. That is, the user matrix has the same number of rows as the target matrix that is being factorized. For example, given a movie recommendation system for 1,000,000 users, the user matrix will have 1,000,000 rows.

## V

## validation

A process used, as part of **training**, to evaluate
the quality of a **machine learning** model
using the **validation set**. Because the validation
set is disjoint from the training set, validation helps ensure that the
model’s performance generalizes beyond the training set.

Contrast with **test set**.

## validation set

A subset of the dataset—disjoint from the training set—used
in **validation**.

Contrast with **training set**
and **test set**.

## vanishing gradient problem

The tendency for the gradients of early **hidden layers**
of some **deep neural networks** to become
surprisingly flat (low). Increasingly lower gradients result in increasingly
smaller changes to the weights on nodes in a deep neural network, leading to
little or no learning. Models suffering from the vanishing gradient problem
become difficult or impossible to train.
**Long Short-Term Memory** cells address this issue.

Compare to **exploding gradient problem**.

## W

## Wasserstein loss

One of the loss functions commonly used in
**generative adversarial networks**,
based on the earth-mover's
distance between
the distribution of generated data and real data.

Wasserstein Loss is the default loss function in TF-GAN.

## weight

A coefficient for a **feature** in a linear model, or an edge
in a deep network. The goal of training a linear model is to determine
the ideal weight for each feature. If a weight is 0, then its corresponding
feature does not contribute to the model.

## Weighted Alternating Least Squares (WALS)

An algorithm for minimizing the objective function during
**matrix factorization** in
**recommendation systems**, which allows a
downweighting of the missing examples. WALS minimizes the weighted
squared error between the original matrix and the reconstruction by
alternating between fixing the row factorization and column factorization.
Each of these optimizations can be solved by least squares
**convex optimization**. For details, see the
Recommendation Systems course

## wide model

A linear model that typically has many
**sparse input features**. We refer to it as "wide" since
such a model is a special type of **neural network** with a
large number of inputs that connect directly to the output node. Wide models
are often easier to debug and inspect than deep models. Although wide models
cannot express nonlinearities through **hidden layers**,
they can use transformations such as
**feature crossing** and
**bucketization** to model nonlinearities in different ways.

Contrast with **deep model**.

## width

The number of **neurons** in a particular **layer**
of a **neural network**.