Provided by: mlpack-bin_4.3.0-2build1_amd64 
NAME
mlpack_logistic_regression - l2-regularized logistic regression and prediction
SYNOPSIS
mlpack_logistic_regression [-b int] [-d double] [-m unknown] [-l unknown] [-L double] [-n int] [-O string] [-s double] [-T unknown] [-e double] [-t unknown] [-V bool] [-M unknown] [-P unknown] [-p unknown] [-h -v]
DESCRIPTION
An implementation of L2-regularized logistic regression using either the L-BFGS optimizer or SGD
(stochastic gradient descent). This solves the regression problem
y = (1 / 1 + e^-(X * b)).
In this setting, y corresponds to class labels and X corresponds to data.
This program allows loading a logistic regression model (via the ’--input_model_file (-m)' parameter) or
training a logistic regression model given training data (specified with the '--training_file (-t)'
parameter), or both those things at once. In addition, this program allows classification on a test
dataset (specified with the '--test_file (-T)' parameter) and the classification results may be saved
with the '--predictions_file (-P)' output parameter. The trained logistic regression model may be saved
using the ’--output_model_file (-M)' output parameter.
The training data, if specified, may have class labels as its last dimension. Alternately, the
'--labels_file (-l)' parameter may be used to specify a separate matrix of labels.
When a model is being trained, there are many options. L2 regularization (to prevent overfitting) can be
specified with the '--lambda (-L)' option, and the optimizer used to train the model can be specified
with the '--optimizer (-O)' parameter. Available options are 'sgd' (stochastic gradient descent) and
’lbfgs' (the L-BFGS optimizer). There are also various parameters for the optimizer; the
'--max_iterations (-n)' parameter specifies the maximum number of allowed iterations, and the
'--tolerance (-e)' parameter specifies the tolerance for convergence. For the SGD optimizer, the
'--step_size (-s)' parameter controls the step size taken at each iteration by the optimizer. The batch
size for SGD is controlled with the '--batch_size (-b)' parameter. If the objective function for your
data is oscillating between Inf and 0, the step size is probably too large. There are more parameters for
the optimizers, but the C++ interface must be used to access these.
For SGD, an iteration refers to a single point. So to take a single pass over the dataset with SGD,
'--max_iterations (-n)' should be set to the number of points in the dataset.
Optionally, the model can be used to predict the responses for another matrix of data points, if
'--test_file (-T)' is specified. The '--test_file (-T)' parameter can be specified without the
'--training_file (-t)' parameter, so long as an existing logistic regression model is given with the
’--input_model_file (-m)' parameter. The output predictions from the logistic regression model may be
saved with the '--predictions_file (-P)' parameter.
This implementation of logistic regression does not support the general multi-class case but instead only
the two-class case. Any labels must be either 0 or 1. For more classes, see the softmax regression
implementation.
As an example, to train a logistic regression model on the data ''data.csv'' with labels ''labels.csv''
with L2 regularization of 0.1, saving the model to ’'lr_model.bin'', the following command may be used:
$ mlpack_logistic_regression --training_file data.csv --labels_file labels.csv --lambda 0.1
--output_model_file lr_model.bin
Then, to use that model to predict classes for the dataset ''test.csv'', storing the output predictions
in ''predictions.csv'', the following command may be used:
$ mlpack_logistic_regression --input_model_file lr_model.bin --test_file test.csv --predictions_file
predictions.csv
OPTIONAL INPUT OPTIONS
--batch_size (-b) [int]
Batch size for SGD. Default value 64.
--decision_boundary (-d) [double]
Decision boundary for prediction; if the logistic function for a point is less than the boundary,
the class is taken to be 0; otherwise, the class is 1. Default value 0.5.
--help (-h) [bool]
Default help info.
--info [string]
Print help on a specific option. Default value ''.
--input_model_file (-m) [unknown]
Existing model (parameters). --labels_file (-l) [unknown] A matrix containing labels (0 or 1) for
the points in the training set (y).
--lambda (-L) [double]
L2-regularization parameter for training. Default value 0.
--max_iterations (-n) [int]
Maximum iterations for optimizer (0 indicates no limit). Default value 10000.
--optimizer (-O) [string]
Optimizer to use for training ('lbfgs' or 'sgd'). Default value 'lbfgs'.
--step_size (-s) [double]
Step size for SGD optimizer. Default value 0.01.
--test_file (-T) [unknown]
Matrix containing test dataset.
--tolerance (-e) [double]
Convergence tolerance for optimizer. Default value 1e-10.
--training_file (-t) [unknown]
A matrix containing the training set (the matrix of predictors, X).
--verbose (-v) [bool]
Display informational messages and the full list of parameters and timers at the end of execution.
--version (-V) [bool]
Display the version of mlpack.
OPTIONAL OUTPUT OPTIONS
--output_model_file (-M) [unknown]
Output for trained logistic regression model.
--predictions_file (-P) [unknown]
If test data is specified, this matrix is where the predictions for the test set will be saved.
--probabilities_file (-p) [unknown]
If test data is specified, this matrix is where the class probabilities for the test set will be
saved.
ADDITIONAL INFORMATION
For further information, including relevant papers, citations, and theory, consult the documentation
found at http://www.mlpack.org or included with your distribution of mlpack.
mlpack-4.3.0 19 January 2024 mlpack_logistic_regression(1)