Feature selection for classification using neighborhood component analysis (NCA)
FeatureSelectionNCAClassification object contains the data, fitting
information, feature weights, and other parameters of a neighborhood component analysis
fscnca learns the feature weights using a
diagonal adaptation of NCA and returns an instance of a
FeatureSelectionNCAClassification object. The function achieves
feature selection by regularizing the feature weights.
FeatureSelectionNCAClassification object using
FitMethod— Name of fitting method
Name of the fitting method used to fit this model, stored as one of the following:
'exact' — Perform fitting using all of
'none' — No fitting. Use this option to
evaluate the generalization error of the NCA model using the initial
feature weights supplied in the call to
'average' — Divide the data into
partitions (subsets), fit each partition using the
exact method, and return the average of the
feature weights. You can specify the number of partitions using the
NumPartitions name-value pair
InitialLearningRate— Initial learning rate
Initial learning rate for the
'minibatch-lbfgs' solvers, stored as a positive real
learning rate decays over iterations starting at the value specified for
TuningSubsetSize name-value pair arguments to
control the automatic tuning of initial learning rate in the call to
FeatureWeights— Feature weights
Feature weights, stored as a p-by-1 vector of real
scalars, where p is the number of predictors in
FeatureWeights is a
m is the number of partitions specified via the
'NumPartitions' name-value pair argument in the call
The absolute value of
FeatureWeights(k) is a measure of
the importance of predictor
FeatureWeights(k) value that is close to 0 indicates
k does not influence the response in
|loss||Evaluate accuracy of learned feature weights on test data|
|predict||Predict responses using neighborhood component analysis (NCA) classifier|
|refit||Refit neighborhood component analysis (NCA) model for classification|
Load the sample data.
The data set has 34 continuous predictors. The response variable is the radar returns, labeled as b (bad) or g (good).
Fit a neighborhood component analysis (NCA) model for classification to detect the relevant features.
mdl = fscnca(X,Y);
The returned NCA model,
mdl, is a
FeatureSelectionNCAClassification object. This object stores information about the training data, model, and optimization. You can access the object properties, such as the feature weights, using dot notation.
Plot the feature weights.
figure() plot(mdl.FeatureWeights,'ro') xlabel('Feature Index') ylabel('Feature Weight') grid on
The weights of the irrelevant features are zero. The
'Verbose',1 option in the call to
fscnca displays the optimization information on the command line. You can also visualize the optimization process by plotting the objective function versus the iteration number.
figure plot(mdl.FitInfo.Iteration,mdl.FitInfo.Objective,'ro-') grid on xlabel('Iteration Number') ylabel('Objective')
ModelParameters property is a
struct that contains more information about the model. You can access the fields of this property using dot notation. For example, see if the data was standardized or not.
ans = logical 0
0 means that the data was not standardized before fitting the NCA model. You can standardize the predictors when they are on very different scales using the
'Standardize',1 name-value pair argument in the call to
Value. To learn how value classes affect copy operations, see Copying Objects.