@@ -7,7 +7,7 @@ ML implements logistic regression, which is a probabilistic classification techn
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@@ -7,7 +7,7 @@ ML implements logistic regression, which is a probabilistic classification techn
Like SVM, Logistic Regression can be extended to work on multi-class classification problems like digit recognition (i.e. recognizing digitis like 0,1 2, 3,... from the given images).
Like SVM, Logistic Regression can be extended to work on multi-class classification problems like digit recognition (i.e. recognizing digitis like 0,1 2, 3,... from the given images).
This version of Logistic Regression supports both binary and multi-class classifications (for multi-class it creates a multiple 2-class classifiers).
This version of Logistic Regression supports both binary and multi-class classifications (for multi-class it creates a multiple 2-class classifiers).
In order to train the logistic regression classifier, Batch Gradient Descent and Mini-Batch Gradient Descent algorithms are used (see [BatchDesWiki]_).
In order to train the logistic regression classifier, Batch Gradient Descent and Mini-Batch Gradient Descent algorithms are used (see [BatchDesWiki]_).
Logistic Regression is a discriminative classifier (see [LogRegTomMitch]_ for more details). Logistic Regression is implemented as a C++ class in ``CvLR``.
Logistic Regression is a discriminative classifier (see [LogRegTomMitch]_ for more details). Logistic Regression is implemented as a C++ class in ``LogisticRegression``.
In Logistic Regression, we try to optimize the training paramater
In Logistic Regression, we try to optimize the training paramater
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@@ -28,26 +28,26 @@ or class 0 if
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In Logistic Regression, choosing the right parameters is of utmost importance for reducing the training error and ensuring high training accuracy.
In Logistic Regression, choosing the right parameters is of utmost importance for reducing the training error and ensuring high training accuracy.
``CvLR_TrainParams`` is the structure that defines parameters that are required to train a Logistic Regression classifier.
``LogisticRegressionParams`` is the structure that defines parameters that are required to train a Logistic Regression classifier.
The learning rate is determined by ``CvLR_TrainParams.alpha``. It determines how faster we approach the solution.
The learning rate is determined by ``LogisticRegressionParams.alpha``. It determines how faster we approach the solution.
It is a positive real number. Optimization algorithms like Batch Gradient Descent and Mini-Batch Gradient Descent are supported in ``CvLR``.
It is a positive real number. Optimization algorithms like Batch Gradient Descent and Mini-Batch Gradient Descent are supported in ``LogisticRegression``.
It is important that we mention the number of iterations these optimization algorithms have to run.
It is important that we mention the number of iterations these optimization algorithms have to run.
The number of iterations are mentioned by ``CvLR_TrainParams.num_iters``.
The number of iterations are mentioned by ``LogisticRegressionParams.num_iters``.
The number of iterations can be thought as number of steps taken and learning rate specifies if it is a long step or a short step. These two parameters define how fast we arrive at a possible solution.
The number of iterations can be thought as number of steps taken and learning rate specifies if it is a long step or a short step. These two parameters define how fast we arrive at a possible solution.
In order to compensate for overfitting regularization is performed, which can be enabled by setting ``CvLR_TrainParams.regularized`` to a positive integer (greater than zero).
In order to compensate for overfitting regularization is performed, which can be enabled by setting ``LogisticRegressionParams.regularized`` to a positive integer (greater than zero).
One can specify what kind of regularization has to be performed by setting ``CvLR_TrainParams.norm`` to ``CvLR::REG_L1`` or ``CvLR::REG_L2`` values.
One can specify what kind of regularization has to be performed by setting ``LogisticRegressionParams.norm`` to ``LogisticRegression::REG_L1`` or ``LogisticRegression::REG_L2`` values.
``CvLR`` provides a choice of 2 training methods with Batch Gradient Descent or the Mini-Batch Gradient Descent. To specify this, set ``CvLR_TrainParams.train_method`` to either ``CvLR::BATCH`` or ``CvLR::MINI_BATCH``.
``LogisticRegression`` provides a choice of 2 training methods with Batch Gradient Descent or the Mini-Batch Gradient Descent. To specify this, set ``LogisticRegressionParams.train_method`` to either ``LogisticRegression::BATCH`` or ``LogisticRegression::MINI_BATCH``.
If ``CvLR_TrainParams`` is set to ``CvLR::MINI_BATCH``, the size of the mini batch has to be to a postive integer using ``CvLR_TrainParams.minibatchsize``.
If ``LogisticRegressionParams`` is set to ``LogisticRegression::MINI_BATCH``, the size of the mini batch has to be to a postive integer using ``LogisticRegressionParams.mini_batch_size``.
A sample set of training parameters for the Logistic Regression classifier can be initialized as follows:
A sample set of training parameters for the Logistic Regression classifier can be initialized as follows:
.. [LogRegWiki] http://en.wikipedia.org/wiki/Logistic_regression. Wikipedia article about the Logistic Regression algorithm.
.. [LogRegWiki] http://en.wikipedia.org/wiki/Logistic_regression. Wikipedia article about the Logistic Regression algorithm.
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@@ -56,9 +56,9 @@ A sample set of training parameters for the Logistic Regression classifier can b
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@@ -56,9 +56,9 @@ A sample set of training parameters for the Logistic Regression classifier can b
.. [LogRegTomMitch] http://www.cs.cmu.edu/~tom/NewChapters.html. "Generative and Discriminative Classifiers: Naive Bayes and Logistic Regression" in Machine Learning, Tom Mitchell.
.. [LogRegTomMitch] http://www.cs.cmu.edu/~tom/NewChapters.html. "Generative and Discriminative Classifiers: Naive Bayes and Logistic Regression" in Machine Learning, Tom Mitchell.
.. [BatchDesWiki] http://en.wikipedia.org/wiki/Gradient_descent_optimization. Wikipedia article about Gradient Descent based optimization.
.. [BatchDesWiki] http://en.wikipedia.org/wiki/Gradient_descent_optimization. Wikipedia article about Gradient Descent based optimization.
CvLR_TrainParams
LogisticRegressionParams
----------------
------------------------
.. ocv:struct:: CvLR_TrainParams
.. ocv:struct:: LogisticRegressionParams
Parameters of the Logistic Regression training algorithm. You can initialize the structure using a constructor or declaring the variable and initializing the the individual parameters.
Parameters of the Logistic Regression training algorithm. You can initialize the structure using a constructor or declaring the variable and initializing the the individual parameters.
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.. ocv:member:: int norm
.. ocv:member:: int norm
The type of normalization applied. It takes value ``CvLR::L1`` or ``CvLR::L2``.
The type of normalization applied. It takes value ``LogisticRegression::L1`` or ``LogisticRegression::L2``.
.. ocv:member:: int regularized
.. ocv:member:: int regularized
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@@ -82,89 +82,95 @@ CvLR_TrainParams
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@@ -82,89 +82,95 @@ CvLR_TrainParams
.. ocv:member:: int train_method
.. ocv:member:: int train_method
The kind of training method used to train the classifier. It should be set to either ``CvLR::BATCH`` or ``CvLR::MINI_BATCH``.
The kind of training method used to train the classifier. It should be set to either ``LogisticRegression::BATCH`` or ``LogisticRegression::MINI_BATCH``.
.. ocv:member:: int minibatchsize
.. ocv:member:: int mini_batch_size
If the training method is set to CvLR::MINI_BATCH, it has to be set to positive integer. It can range from 1 to number of training samples.
If the training method is set to LogisticRegression::MINI_BATCH, it has to be set to positive integer. It can range from 1 to number of training samples.
.. ocv:function:: CvLR_TrainParams::CvLR_TrainParams(double alpha, int num_iters, int norm, int regularized, int train_method, int minbatchsize)
.. ocv:function:: LogisticRegressionParams::LogisticRegressionParams(double alpha, int num_iters, int norm, int regularized, int train_method, int minbatchsize)
:param alpha: Specifies the learning rate.
:param alpha: Specifies the learning rate.
:param num_iters: Specifies the number of iterations.
:param num_iters: Specifies the number of iterations.
:param norm: Specifies the kind of regularization to be applied. ``CvLR::REG_L1`` or ``CvLR::REG_L2``. To use this, set ``CvLR_TrainParams.regularized`` to a integer greater than zero.
:param norm: Specifies the kind of regularization to be applied. ``LogisticRegression::REG_L1`` or ``LogisticRegression::REG_L2``. To use this, set ``LogisticRegressionParams.regularized`` to a integer greater than zero.
:param: regularized: To enable or disable regularization. Set to positive integer (greater than zero) to enable and to 0 to disable.
:param: regularized: To enable or disable regularization. Set to positive integer (greater than zero) to enable and to 0 to disable.
:param: train_method: Specifies the kind of training method used. It should be set to either ``CvLR::BATCH`` or ``CvLR::MINI_BATCH``. If using ``CvLR::MINI_BATCH``, set ``CvLR_TrainParams.minibatchsize`` to a positive integer.
:param: train_method: Specifies the kind of training method used. It should be set to either ``LogisticRegression::BATCH`` or ``LogisticRegression::MINI_BATCH``. If using ``LogisticRegression::MINI_BATCH``, set ``LogisticRegressionParams.mini_batch_size`` to a positive integer.
:param: minibatchsize: Specifies the number of training samples taken in each step of Mini-Batch Gradient Descent.
:param: mini_batch_size: Specifies the number of training samples taken in each step of Mini-Batch Gradient Descent.
By initializing this structure, one can set all the parameters required for Logistic Regression classifier.
By initializing this structure, one can set all the parameters required for Logistic Regression classifier.
CvLR
LogisticRegression
----
------------------
.. ocv:class:: CvLR : public CvStatModel
.. ocv:class:: LogisticRegression : public CvStatModel