# Algorithms

The Machine Learning Toolkit supports the algorithms listed here. In addition to the examples included in the Machine Learning Toolkit, you can find more examples of these algorithms on the scikit-learn website at http://scikit-learn.org/stable/auto_examples/index.html.

### ML-SPL Quick Reference Guide

Download the ML-SPL Quick Reference Guide (also available in Japanese) for a handy cheat sheet of ML-SPL commands and machine learning algorithms used in the Machine Learning Toolkit.

### Extend the algorithms you can use for your models

The 27 algorithms listed on this page and in the ML-SPL Quick Reference Guide are available natively in the Machine Learning Toolkit. You can also base your models on over 300 open source Python algorithms from the sci-kit learn, pandas, statsmodel, numpy and scipy libraries available in the Python for Scientific Computing add-on. For information on how to use an algorithm from the Python for Scientific Computing add-on in the Machine Learning Toolkit, see Import custom algorithms.

## Classifiers

Classifier algorithms predict the value of a categorical field.

### DecisionTreeClassifier

The DecisionTreeClassifier algorithm uses the scikit-learn DecisionTreeClassifier estimator to fit a model to predict the value of categorical fields.

**Syntax**

fit DecisionTreeClassifier <field_to_predict> from <explanatory_fields> [into <model_name>] [max_depth=<N>] [max_features=<str>] [min_samples_split=<N>] [max_leaf_nodes=<N>] [criterion=<gini|entropy>] [splitter=<best|random>]

**Example**

... | fit DecisionTreeClassifier SLA_violation from * into sla_model | ...

For descriptions of the `max_depth`

, `max_features`

, `min_samples_split`

, `max_leaf_nodes`

, `criterion`

, and `splitter`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.tree.DecisionTreeClassifier.html.

You can save DecisionTreeClassifier models by using the `into`

keyword and apply it to new data later by using the `apply`

command (for example, `... | apply model_DTC`

).

You can inspect the decision tree learned by DecisionTreeClassifier with the `summary`

command (for example, `| summary model_DTC`

). You can also get a JSON representation of the tree by giving `json=t`

as an argument to the `summary`

command (for example, `| summary model_DTC json=t`

). To specify the maximum depth of the tree to summarize, use the `limit`

argument (for example, `| summary model_DTC limit=10`

). The default value for the `limit`

argument is 5.

### LogisticRegression

The LogisticRegression algorithm uses the scikit-learn LogisticRegression estimator to fit a model to predict the value of categorical fields.

**Syntax**

fit LogisticRegression <field_to_predict> from <explanatory_fields> [into <model name>] [fit_intercept=<true|false>] [probabilities=<true|false>]

**Example**

... | fit LogisticRegression SLA_violation from IO_wait_time into sla_model | ...

The `fit_intercept`

parameter specifies whether the model includes an implicit intercept term (the default value is true).

The `probabilities`

parameter specifies whether probabilities for each possible field value should be returned alongside the predicted value (the default value is false).

You can save LogisticRegression models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply sla_model`

).

You can inspect the coefficients learned by LogisticRegression with the `summary`

command (for example, `| summary sla_model`

).

### RandomForestClassifier

The RandomForestClassifier algorithm uses the scikit-learn RandomForestClassifier estimator to fit a model to predict the value of categorical fields.

**Syntax**

fit RandomForestClassifier <field_to_predict> from <explanatory_fields> [into <model name>] [n_estimators=<N>] [max_depth=<N>] [max_features=<str>] [min_samples_split=<N>] [max_leaf_nodes=<N>]

**Example**

... | fit RandomForestClassifier SLA_violation from * into sla_model | ...

For descriptions of the `n_estimators`

, `max_depth`

, `max_features`

, `min_samples_split`

, and `max_leaf_nodes`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestClassifier.html.

You can save RandomForestClassifier models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply sla_model`

).

You can list the features that were used to fit the model, as well as their relative importance or influence with the `summary`

command (for example, `| summary sla_model`

).

### SVM

The SVM algorithm uses the scikit-learn kernel-based SVC estimator to fit a model to predict the value of categorical fields. It uses the radial basis function (rbf) kernel by default.

**Syntax**

fit SVM <field_to_predict> from <explanatory_fields> [into <model name>] [C=<number>] [gamma=<number>]

**Example**

... | fit SVM SLA_violation from * into sla_model | ...

The `gamma`

parameter controls the width of the rbf kernel (the default value is 1 / <number of fields>), and the `C`

parameter controls the degree of regularization when fitting the model (the default value is 1.0).

For descriptions of the `C`

and `gamma`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.svm.SVC.html.

**Note:** Kernel-based methods such as the scikit-learn SVC tend to work best when the data is scaled (for example, using our StandardScaler algorithm, `| fit StandardScaler <fields> into scaling_model | fit SVM <response> from <fields> into svm_model`

). For details, see *A Practical Guide to Support Vector Classification* at https://www.csie.ntu.edu.tw/~cjlin/papers/guide/guide.pdf.

You can save SVM models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply sla_model`

).

You cannot inspect the model learned by SVM with the `summary`

command.

### BernoulliNB

The BernoulliNB algorithm uses the scikit-learn BernoulliNB estimator (an implementation of the Naive Bayes classification algorithm) to fit a model to predict the value of categorical fields, where explanatory variables are assumed to be binary-valued. This algorithm supports incremental fit.

**Syntax**

fit BernoulliNB <field_to_predict> from <explanatory_fields> [into <model name>] [alpha=<float>] [binarize=<float>] [fit_prior=<true|false>] [partial_fit=<true|false>]

**Example**

... | fit BernoulliNB type from * into TESTMODEL_BernoulliNB alpha=0.5 binarize=0 fit_prior=f

- The
`alpha`

parameter controls Laplace/Lidstone smoothing (the default value is 1.0). - The
`binarize`

parameter is a threshold that can be used for converting numeric field values to the binary values expected by BernoulliNB (the default value is 0). For instance, if`binarize=0`

is specified (the default), values > 0 are assumed to be 1, and values <= 0 are assumed to be 0. - The
`fit_prior`

Boolean parameter specifies whether to learn class prior probabilities (the default value is "true"). If`fit_prior=f`

is specified, classes are assumed to have uniform popularity. - The
`partial_fit`

parameter controls whether an existing model should be incrementally updated or not (the default value is "false"). This allows you to update an existing model using only new data without having to retrain it on the full training data set. Example using`partial_fit`

:`| inputlookup iris.csv | fit BernoulliNB species from * partial_fit=true into My_Incremental_Model`

In the example above, if`My_Incremental_Model`

does not exist, the model is saved to it. If`My_Incremental_Model`

exists and was trained using BernoulliNB, the command updates the existing model with the new input. If`My_Incremental_Model`

exists but was not trained by BernoulliNB, an error message will be given. Using`partial_fit=true`

on an existing model ignores the newly supplied parameters. The parameters supplied at model creation are used instead. If`partial_fit=false`

or`partial_fit`

is not specified (default is false), the model specified is created and replaces the pre-trained model if one exists.

You can save BernoulliNB models using the `into`

keyword and apply the saved model later to new data using the `apply`

command (for example, `... | apply TESTMODEL_BernoulliNB`

).

You cannot inspect the model learned by BernoulliNB with the `summary`

command.

### GaussianNB

The GaussianNB algorithm uses the scikit-learn GaussianNB estimator (an implementation of Gaussian Naive Bayes classification algorithm) to fit a model to predict the value of categorical fields, where the likelihood of explanatory variables is assumed to be Gaussian. This algorithm supports incremental fit.

**Syntax**

fit GaussianNB <field_to_predict> from <explanatory_fields> [into <model name>] [partial_fit=<true|false>]

**Example**

... | fit GaussianNB species from * into TESTMODEL_GaussianNB

The `partial_fit`

parameter controls whether an existing model should be incrementally updated or not (default is "false"). This allows you to update an existing model using only new data without having to retrain it on the full training data set.

Example using `partial_fit`

:`| inputlookup iris.csv | fit GaussianNB species from * partial_fit=true into My_Incremental_Model`

In the example above, if `My_Incremental_Model`

does not exist, the model is saved to it. If `My_Incremental_Model`

exists and was trained using GaussianNB, the command updates the existing model with the new input. If `My_Incremental_Model`

exists but was not trained by GaussianNB, an error message will be given. If `partial_fit=false`

or `partial_fit`

is not specified (default is false), the model specified is created and replaces the pre-trained model if one exists.

You can save GaussianNB models using the `into`

keyword and apply the saved model later to new data using the `apply`

command (for example, `... | apply TESTMODEL_GaussianNB`

).

You cannot inspect the model learned by GaussianNB with the `summary`

command.

### SGDClassifier

The SGDClassifier algorithm uses the scikit-learn SGDClassifier estimator to fit a model to predict the value of categorical fields. This algorithm supports incremental fit.

**Syntax**

fit SGDClassifier <field_to_predict> from <explanatory_fields> [into <model name>] [partial_fit=<true|false>] [loss=<hinge|log|modified_huber|squared_hinge|perceptron>] [fit_intercept=<true|false>] [random_state=<N>] [n_iter=<N>] [l1_ratio=<float>] [alpha=<float>] [eta0=<float>] [power_t=<float>] [penalty=<l1|l2|elasticnet>] [learning_rate=<constant|optimal|invscaling>]

**Example**

... | fit SGDClassifier SLA_violation from * into sla_model

It supports the following parameters:

`partial_fit=<true|false>`

: Specifies whether an existing model should be incrementally updated or not (default "false"). Example using`partial_fit`

:`| inputlookup iris.csv | fit SGDClassifier species from * partial_fit=true into My_Incremental_Model`

In the example above, if`My_Incremental_Model`

does not exist, the model is saved to it. If`My_Incremental_Model`

exists and was trained using SGDClassifier, the command updates the existing model with the new input. If`My_Incremental_Model`

exists but was not trained by SGDClassifier, an error message will be given. Using`partial_fit=true`

on an existing model ignores the newly supplied parameters. The parameters supplied at model creation are used instead. If`partial_fit=false`

or`partial_fit`

is not specified (default is false), the model specified is created and replaces the pre-trained model if one exists.`loss=<hinge|log|modified_huber|squared_hinge|perceptron>`

: The loss function to be used. Defaults to "hinge", which gives a linear SVM. The "log" loss gives logistic regression, a probabilistic classifier. "modified_huber" is another smooth loss that brings tolerance to outliers as well as probability estimates. "squared_hinge" is like hinge but is quadratically penalized. "perceptron" is the linear loss used by the perceptron algorithm.`fit_intercept=<true|false>`

: Specifies whether the intercept should be estimated or not (default "true").`n_iter=<int>`

: The number of passes over the training data (aka epochs) (default 5). The number of iterations is set to 1 if using partial_fit.`penalty=<l2|l1|elasticnet>`

: The penalty (aka regularization term) to be used (default "l2").`learning_rate=<constant|optimal|invscaling>`

The learning rate. "constant": eta = eta0, "optimal": eta = 1.0/(alpha * t), "invscaling": eta = eta0 / pow(t, power_t) (default "invscaling").`l1_ratio=<float>`

: The Elastic Net mixing parameter, with 0 <= l1_ratio <= 1 (default 0.15). l1_ratio=0 corresponds to L2 penalty, l1_ratio=1 to L1.`alpha=<float>`

: Constant that multiplies the regularization term (default 0.0001). Also used to compute learning_rate when set to "optimal".`eta0=<float>`

: The initial learning rate (default 0.01).`power_t=<float>`

: The exponent for inverse scaling learning rate (default 0.25).`random_state=<int>`

: The seed of the pseudo random number generator to use when shuffling the data.

You can save SGDClassifier models using the `into`

keyword and apply the saved model later to new data using the `apply`

command (for example, `... | apply sla_model`

).

You can inspect the model learned by SGDClassifier with the `summary`

command (for example, `| summary sla_model`

).

## Regressors

Regressor algorithms predict the value of a numeric field.

### DecisionTreeRegressor

The DecisionTreeRegressor algorithm uses the scikit-learn DecisionTreeRegressor estimator to fit a model to predict the value of numeric fields.

**Syntax**

fit DecisionTreeRegressor <field_to_predict> from <explanatory_fields> [into <model_name>] [max_depth=<N>] [max_features=<str>] [min_samples_split=<N>] [max_leaf_nodes=<N>] [splitter=<best|random>]

**Example**

... | fit DecisionTreeRegressor temperature from date_mongth date_hour into temperature_model | ...

For descriptions of the `max_depth`

, `max_features`

, `min_samples_split`

, `max_leaf_nodes`

, and `splitter`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.tree.DecisionTreeRegressor.html.

You can save DecisionTreeRegressor models using the `into`

keyword and apply it to new data later using the `apply`

command (for example, `... | apply model_DTR`

).

You can inspect the decision tree learned by DecisionTreeRegressor with the `summary`

command (for example, `| summary model_DTR`

). Furthermore, you can get a JSON representation of the tree by giving `json=t`

as an argument to the `summary`

command (for example, `| summary model_DTR json=t`

). To specify the maximum depth of the tree to summarize, use the `limit`

argument (for example, `| summary model_DTC limit=10`

). The default value for the `limit`

argument is 5.

### KernelRidge

The KernelRidge algorithm uses the scikit-learn KernelRidge algorithm to fit a model to predict numeric fields. This algorithm uses the radial basis function (rbf) kernel by default.

**Syntax**

fit KernelRidge <field_to_predict> from <explanatory_fields> [into <model_name>] [gamma=<number>]

**Example**

... | fit KernelRidge temperature from date_month date_hour into temperature_model | ...

The `gamma`

parameter controls the width of the rbf kernel (the default value is 1/*number of fields*). For details, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.kernel_ridge.KernelRidge.html.

You can save KernelRidge models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply sla_model`

).

You cannot inspect the model learned by KernelRidge with the `summary`

command.

### LinearRegression

The LinearRegression algorithm uses the scikit-learn LinearRegression estimator to fit a model to predict the value of numeric fields.

**Syntax**

fit LinearRegression <field_to_predict> from <explanatory_fields> [into <model name>] [fit_intercept=<true|false>]

**Example**

... | fit LinearRegression temperature from date_month date_hour into temperature_model | ...

The `fit_intercept`

parameter specifies whether the model should include an implicit intercept term (the default value is "true").

You can save LinearRegression models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply temperature_model`

).

You can inspect the coefficients learned by LinearRegression with the `summary`

command (for example, `| summary temperature_model`

).

### RandomForestRegressor

The RandomForestRegressor algorithm uses the scikit-learn RandomForestRegressor estimator to fit a model to predict the value of numeric fields.

**Syntax**

fit RandomForestRegressor <field_to_predict> from <explanatory_fields> [into <model name>] [n_estimators=<N>] [max_depth=<N>] [max_features=<str>] [min_samples_split=<N>] [max_leaf_nodes=<N>]

**Example**

... | fit RandomForestRegressor temperature from date_month date_hour into temperature_model | ...

For descriptions of the `n_estimators`

, `max_depth`

, `max_features`

, `min_samples_split`

, and `max_leaf_nodes`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestRegressor.html.

You can save RandomForestRegressor models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply temperature_model`

).

You can list the features that were used to fit the model, as well as their relative importance or influence with the `summary`

command (for example, `| summary temperature_model`

).

### Lasso

The Lasso algorithm uses the scikit-learn Lasso estimator to fit a model to predict the value of numeric fields. Lasso is like LinearRegression, but it uses L1 regularization to learn a linear models with fewer coefficients and smaller coefficients. Lasso models are consequently more robust to noise and resilient against overfitting.

**Syntax**

fit Lasso <field_to_predict> from <explanatory_fields> [into <model name>] [alpha=<float>]

**Example**

... | fit Lasso temperature from date_month date_hour | ...

The `alpha`

parameter controls the degree of L1 regularization. For details, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Lasso.html.

You can save Lasso models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply temperature_model`

).

You can inspect the coefficients learned by Lasso with the `summary`

command (for example, `| summary temperature_model`

).

### ElasticNet

The ElasticNet algorithm uses the scikit-learn ElasticNet estimator to fit a model to predict the value of numeric fields. ElasticNet is a linear regression model that includes both L1 and L2 regularization (it is a generalization of Lasso and Ridge).

**Syntax**

fit ElasticNet <field_to_predict> from <explanatory_fields> [into <model name>] [fit_intercept=<true|false>] [normalize=<true|false>] [alpha=<N>] [l1_ratio=<N>]

**Example**

... | fit ElasticNet temperature from date_month date_hour normalize=true alpha=0.5 | ...

For descriptions of the `fit_intercept`

, `normalize`

, `alpha`

, and `l1_ratio`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.ElasticNet.html.

You can save ElasticNet models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply temperature_model`

).

You can inspect the coefficients learned by ElasticNet with the `summary`

command (for example, `| summary temperature_model`

).

### Ridge

The Ridge algorithm uses the scikit-learn Ridge estimator to fit a model to predict the value of numeric fields. Ridge is like LinearRegression, but it uses L2 regularization to learn a linear models with smaller coefficients, making the algorithm more robust to collinearity.

**Syntax**

fit Ridge <field_to_predict> from <explanatory_fields> [into <model name>] [fit_intercept=<true|false>] [normalize=<true|false>] [alpha=<N>]

**Example**

... | fit Ridge temperature from date_month date_hour normalize=true alpha=0.5 | ...

The `alpha`

parameter specifies the degree of regularization (the default value is 1.0). For descriptions of the `fit_intercept`

, `normalize`

, and `alpha`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Ridge.html.

You can save Ridge models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply temperature_model`

).

You can inspect the coefficients learned by Ridge with the `summary`

command (for example, `| summary temperature_model`

).

### SGDRegressor

The SGDRegressor algorithm uses the scikit-learn SGDRegressor estimator to fit a model to predict the value of numeric fields. This algorithm supports incremental fit.

**Syntax**

fit SGDRegressor <field_to_predict> from <explanatory_fields> [into <model name>] [partial_fit=<true|false>] [fit_intercept=<true|false>] [random_state=<N>] [n_iter=<N>] [l1_ratio=<float>] [alpha=<float>] [eta0=<float>] [power_t=<float>] [penalty=<l1|l2|elasticnet>] [learning_rate=<constant|optimal|invscaling>]

**Example**

... | fit SGDRegressor temperature from date_month date_hour into temperature_model | ...

It supports the following parameters:

`partial_fit=<true|false>`

: Specifies whether an existing model should be incrementally updated or not (default "false"). Example using`partial_fit`

:`| inputlookup server_power.csv | fit SGDRegressor "ac_power" from "total-cpu-utilization" "total-disk-accesses" partial_fit=true into My_Incremental_Model`

In the example above, if`My_Incremental_Model`

does not exist, the model is saved to it. If`My_Incremental_Model`

exists and was trained using SGDRegressor, the command updates the existing model with the new input. If`My_Incremental_Model`

exists but was not trained by SGDRegressor, an error message will be given. Using`partial_fit=true`

on an existing model ignores the newly supplied parameters. The parameters supplied at model creation are used instead. If`partial_fit=false`

or`partial_fit`

is not specified (default is false), the model specified is created and replaces the pre-trained model if one exists.`fit_intercept=<true|false>`

: Whether the intercept should be estimated or not (default true).`n_iter=<int>`

: The number of passes over the training data (aka epochs) (default 5). The number of iterations is set to 1 if using partial_fit.`penalty=<l2|l1|elasticnet>`

: The penalty (aka regularization term) to be used (default "l2").`learning_rate=<constant|optimal|invscaling>`

The learning rate. constant: eta = eta0, optimal: eta = 1.0/(alpha * t), invscaling: eta = eta0 / pow(t, power_t) (default invscaling).`l1_ratio=<float>`

: The Elastic Net mixing parameter, with 0 <= l1_ratio <= 1 (default 0.15). l1_ratio=0 corresponds to L2 penalty, l1_ratio=1 to L1.`alpha=<float>`

: Constant that multiplies the regularization term (default 0.0001). Also used to compute learning_rate when set to "optimal".`eta0=<float>`

: The initial learning rate (default 0.01).`power_t=<float>`

: The exponent for inverse scaling learning rate (default 0.25).`random_state=<int>`

: The seed of the pseudo random number generator to use when shuffling the data.

You can save SGDRegressor models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply temperature_model`

).

You can inspect the coefficients learned by SGDRegressor with the `summary`

command (for example, `| summary temperature_model`

).

## Feature Extraction

Feature extraction algorithms transform fields for better prediction accuracy.

### FieldSelector

The FieldSelector algorithm uses the scikit-learn GenericUnivariateSelect to select the best predictor fields based on univariate statistical tests.

**Syntax**

fit FieldSelector <field_to_predict> from <explanatory_fields> [into <model name>] [type=<categorical, numeric>] [mode=<k_best, fpr, fdr, fwe, percentile>] [param=<N>]

**Example**

... | fit FieldSelector type=categorical SLA_violation from * into sla_model | ...

The `type`

parameter specifies if the field to predict is categorical or numeric. For descriptions of the `mode`

and `param`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.feature_selection.GenericUnivariateSelect.html.

You can save FieldSelector models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply sla_model`

).

You cannot inspect the model learned by FieldSelector with the `summary`

command.

### TFIDF

The TFIDF algorithm uses the scikit-learn TfidfVectorizer to convert raw text data into a matrix making it possible to use other machine learning estimators on the data.

**Syntax**

fit TFIDF <field_to_convert> [into <model name>] [max_features=<N>] [max_df=<N>] [min_df=<N>] [ngram_range=<str>] [analyzer=<str>] [norm=<str>] [token_pattern=<str>] [stop_words=<None|english>]

**Example**

... | fit TFIDF Reviews into user_feedback_model max_df=0.6 min_df=0.2 | ...

For descriptions of the `max_features`

, `max_df`

, `min_df`

, `ngram_range`

, `analyzer`

, `norm`

, and `token_pattern`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.feature_extraction.text.TfidfVectorizer.html.

To configure the algorithm to ignore common English words (for example, "the", "it", "at", and "that"), set `stop_words`

to `english`

. For other languages (for example, machine language) you can ignore the common words by setting `max_df`

to a value greater than or equal to 0.7 and less than 1.0.

You can save TFIDF models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply user_feedback_model`

).

You cannot inspect the model learned by TFIDF with the `summary`

command.

### PCA

The PCA algorithm uses the scikit-learn PCA algorithm to reduce the number of fields by extracting new uncorrelated features out of the data.

**Syntax**

fit PCA <fields> [into <model name>] [k=<N>]

**Example**

... | fit PCA * k=3 | ...

The `k`

parameter specifies the number of features to be extracted from the data.

You can save PCA models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply user_feedback_model`

).

You cannot inspect the model learned by PCA with the `summary`

command.

### KernelPCA

The KernelPCA algorithm uses the scikit-learn KernelPCA to reduce the number of fields by extracting uncorrelated new features out of data. The difference between KernelPCA and PCA is the use of kernels in the former, which helps with finding nonlinear dependencies among the fields. Currently, KernelPCA only supports the Radial Basis Function (rbf) kernel.

**Syntax**

fit KernelPCA <fields> [into <model name>] [k=<N>] [gamma=<N>] [tolerance=<N>] [max_iteration=<N>]

**Example**

... | fit KernelPCA * k=3 gamma=0.001 | ...

The `k`

parameter specifies the number of features to be extracted from the data. The other parameters are for fine tuning of the kernel. For descriptions of the `gamma`

, `tolerance`

, and `max_iteration`

parameters, see the scikit-learn documentation at http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.KernelPCA.html.

You can save KernelPCA models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply user_feedback_model`

).

You cannot inspect the model learned by KernelPCA with the `summary`

command.

## Anomaly Detectors

Anomaly detection algorithms detect anomalies and outliers in numerical or categorical fields.

### OneClassSVM

The OneClassSVM algorithm uses the scikit-learn OneClassSVM (an unsupervised outlier detection method) to fit a model from the set of features (i.e. fields) for detecting anomalies/outliers, where features are expected to contain numerical values.

**Syntax**

fit OneClassSVM <fields> [into <model name>] [kernel=<str>] [nu=<float>] [coef0=<float>] [gamma=<float>] [tol=<float>] [degree=<number>] [shrinking=<true|false>]

**Example**

... | fit OneClassSVM * kernel="poly" nu=0.5 coef0=0.5 gamma=0.5 tol=1 degree=3 shrinking=f into TESTMODEL_OneClassSVM

The `kernel`

parameter specifies the kernel type ("linear", "rbf", "poly", "sigmoid") for using in the algorithm, where the default value of kernel="rbf". We can specify the upper bound on the fraction of training error as well as the lower bound of the fraction of support vectors using the `nu`

parameter, where the default value is 0.5. The `degree`

parameter is ignored by all kernels except the polynomial kernel, where the default value is 3. "gamma" is the kernel co-efficient that specifies how much influence a single data instance has, where the default value is 1/numberOfFeatures. "coef0" is the independent term in the kernel function which is only significant if we have polynomial or sigmoid function. "tol" is the tolerance for stopping criteria. The `shrinking`

parameter tells us whether to use the shrinking heuristic. For details, see http://scikit-learn.org/stable/modules/svm.html#kernel-functions.

You can save OneClassSVM models using the `into`

keyword and apply the saved model later to new data using the `apply`

command (for example, `... | apply TESTMODEL_OneClassSVM`

). After running the `fit`

or `apply`

command, a new field named "isNormal" is generated that defines whether a particular record (row) is normal ("isNormal"=1) or anomalous ("isNormal"=-1).

You cannot inspect the model learned by OneClassSVM with the `summary`

command.

## Clustering Algorithms

Clustering algorithms separate results into clusters.

### KMeans

The KMeans algorithm uses the scikit-learn KMeans clustering algorithm to divide a result set into "k" distinct clusters. The cluster for each event is set in a new field named "cluster".

**Syntax**

fit KMeans <fields> [k=<N>] [as <output_field>]

**Example**

... | fit KMeans * k=3 | stats count by cluster

The `k`

parameter specifies the number of clusters to divide the data into. By default, the cluster label is assigned to a field named "cluster", but you may change that behavior by using the `as`

keyword to specify a different field name.

You can save KMeans models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply cluster_model`

).

You can inspect the model learned by KMeans with the `summary`

command (for example, `| summary cluster_model`

).

### DBSCAN

The DBSCAN algorithm uses the scikit-learn DBSCAN clusterer to divide a result set into distinct clusters. The cluster for each event is set in a new field named "cluster". DBSCAN is distinct from KMeans in that it clusters results based on local density, and uncovers a variable number of clusters, whereas KMeans finds a precise number of clusters (for example, k=5 finds 5 clusters).

**Syntax**

fit DBSCAN <fields> [eps=<number>] [as <output_field>]

**Example**

... | fit DBSCAN * | stats count by cluster

The `eps`

parameter specifies the maximum distance between two samples for them to be considered in the same cluster. By default, the cluster label is assigned to a field named "cluster", but you may change that behavior by using the `as`

keyword to specify a different field name.

You cannot save DBSCAN models using the `into`

keyword. If you want to be able to predict cluster assignments for future data, you can combine the DBSCAN algorithm with any clustering algorithm (for example, first cluster the data using DBSCAN, then fit a classifier to predict the cluster using RandomForestClassifier).

### Birch

The Birch algorithm uses the scikit-learn Birch clustering algorithm to divide a result set into set of distinct clusters. The cluster for each event is set in a new field named "cluster". This algorithm supports incremental fit.

**Syntax**

fit Birch <fields> [into <model name>] [k=<N>] [as <output_field>] [partial_fit=<true|false>]

**Example**

... | fit Birch * k=3 | stats count by cluster

- The
`k`

parameter specifies the number of clusters to divide the data into after the final clustering step, which treats the subclusters from the leaves of the CF tree as new samples. By default, the cluster label is assigned to a field named "cluster", but user can change that behavior by using the`as`

keyword to specify a different field name. - The
`partial_fit`

parameter controls whether an existing model should be incrementally updated or not (default is "false"). This allows you to update an existing model using only new data without having to retrain it on the full training data set. Example using`partial_fit`

:`| inputlookup track_day.csv | fit Birch * k=6 partial_fit=true into My_Incremental_Model`

In the example above, if`My_Incremental_Model`

does not exist, the model is saved to it. If`My_Incremental_Model`

exists and was trained using Birch, the command updates the existing model with the new input. If`My_Incremental_Model`

exists but was not trained by Birch, an error message will be given. Using`partial_fit=true`

on an existing model ignores the newly supplied parameters. The parameters supplied at model creation are used instead. If`partial_fit=false`

or`partial_fit`

is not specified (default is false), the model specified is created and replaces the pre-trained model if one exists.

You can save Birch models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply Birch_model`

).

You cannot inspect the model learned by Birch with the `summary`

command.

### SpectralClustering

The SpectralClustering algorithm uses the scikit-learn SpectralClustering clustering algorithm to divide a result set into set of distinct clusters. SpectralClustering first transforms the input data using the Radial Basis Function (rbf) kernel, and then performs KMeans clustering on the result. Consequently, SpectralClustering can learn clusters with a non-convex shape. The cluster for each event is set in a new field named "cluster".

**Syntax**

fit SpectralClustering <fields> [k=<N>] [gamma=<float>] [as <output_field>]

**Example**

... | fit SpectralClustering * k=3 | stats count by cluster

The `k`

parameter specifies the number of clusters to divide the data into after kernel step. By default, the cluster label is assigned to a field named "cluster", but you can change that behavior by using the `as`

keyword to specify a different field name.

You cannot save SpectralClustering models using the `into`

keyword. If you want to be able to predict cluster assignments for future data, you can combine the SpectralClustering algorithm with any clustering algorithm (for example, first cluster the data using SpectralClustering, then fit a classifier to predict the cluster using RandomForestClassifier).

## Preprocessing

Preprocessing algorithms are used for preparing data.

### StandardScaler

The StandardScaler algorithm uses the scikit-learn StandardScaler algorithm to standardize the data fields by scaling their mean and standard deviation to 0 and 1, respectively. This preprocessing step helps to avoid dominance of one or more fields over others in subsequent machine learning algorithms, and is practically required for some algorithms, such as SVM. This algorithm supports incremental fit.

**Syntax**

fit StandardScaler <fields> [into <model name>] [with_mean=<true|false>] [with_std=<true|false>] [partial_fit=<true|false>]

**Example**

... | fit StandardScaler * | ...

- The
`with_mean`

and`with_std`

parameters specify if the fields should be standardized with respect to their mean and standard deviation, respectively. - The
`partial_fit`

parameter controls whether an existing model should be incrementally updated or not (default is "false"). This allows you to update an existing model using only new data without having to retrain it on the full training data set. Example using`partial_fit`

:`| inputlookup track_day.csv | fit StandardScaler "batteryVoltage", "engineCoolantTemperature", "engineSpeed" partial_fit=true into My_Incremental_Model`

In the example above, if`My_Incremental_Model`

does not exist, the model is saved to it. If`My_Incremental_Model`

exists and was trained using StandardScaler, the command updates the existing model with the new input. If`My_Incremental_Model`

exists but was not trained by StandardScaler, an error message will be given. Using`partial_fit=true`

on an existing model ignores the newly supplied parameters. The parameters supplied at model creation are used instead. If`partial_fit=false`

or`partial_fit`

is not specified (default is false), the model specified is created and replaces the pre-trained model if one exists.

You can save StandardScaler models using the `into`

keyword and apply new data later using the `apply`

command (for example, `... | apply scaling_model`

).

You can inspect the statistics extracted by StandardScaler with the `summary`

command (for example, `| summary scaling_model`

).

## Time Series Analysis

Time series analysis algorithms provide methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data and forecast its future values.

### ARIMA

The Autoregressive Integrated Moving Average (ARIMA) algorithm uses the StatsModels ARIMA algorithm to fit a model on a time series for better understanding and/or forecasting its future values. An ARIMA model can consist of autoregressive terms, moving average terms, and differencing operations. The autoregressive terms express the dependency of the current value of time series to its previous ones. The moving average terms model the effect of previous forecast errors (also called random shocks or white noise) on the current value. If the time series is non-stationary, differencing operations are used to make it stationary. A stationary process is a stochastic process that its probability distribution does not change by time.

**Syntax**

fit ARIMA [_time] <field_to_forecast> order=<N>-<N>-<N> [forecast_k=<N>] [conf_interval=<N>]

**Example**

... | fit ARIMA Voltage order=4-0-1

ARIMA requires `order`

to be specified at fitting time. `order`

needs three values:

- Number of autoregressive (AR) parameters
- Number of differencing operations (D)
- Number of moving average (MA) Parameters

It also supports the following parameters:

`forecast_k=<int>`

: Tells ARIMA how many points into the future should be forecasted. If`_time`

is specified during fitting along with the`<field_to_forecast>`

, ARIMA will also generate the timestamps for forecasted values. By default,`forecast_k`

is zero.`conf_interval=<1..99>`

: This is the confidence interval in percentage around forecasted values. By default it is set to 95%.

**Best Practices**

- It is highly recommended to send the time series through timechart before sending it into ARIMA to avoid non-uniform sampling time. If
`_time`

is not to be specified, using timechart is not necessary. - The time series should not have any gaps or missing data otherwise ARIMA will complain. If there are missing samples in the data, using a bigger span in timechart or using streamstats to fill out in gaps with average values can do the trick.
- ARIMA supports one time series at a time.
- ARIMA models cannot be saved and used at a later time in the current version.

See the StatsModels documentation at http://statsmodels.sourceforge.net/devel/generated/statsmodels.tsa.arima_model.ARIMA.html for more information.

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This documentation applies to the following versions of Machine Learning Toolkit: 2.0.1

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