?? code.txt
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Code
Here is some Matlab code that you might find useful. All code is licensed under the GNU Lesser General Public License (LGPL) unless otherwise stated. I also have a Forge project which potentially has more up-to-date code, available here. Please could you contact me if you make any modifications to these files - I'd really like to hear from you!
Pre-process
* normalise.m - normalise a matrix of examples so that each feature has unit norm.
function [normalisedX1, normalisedX2] = normalise(X1, X2)
% Normalise the features (columns) of matrices X1 (and optionally X2) such that
% each feature of X1 has unit norm. X1 and X2 have examples as their rows.
%
% Usage: [normalisedX1, normalisedX2] = normalise(X1, X2)
% Inputs/Outputs:
% X1 - an (l x n) matrix whose rows are examples
% X2 (optional) - an (l2 x m) matrix whose rows are examples
%
% normalisedX1 - normalised X1
% normalisedX2 (optional) - normalised X2
%
% Copyright (C) 2006 Charanpal Dhanjal
% This library is free software; you can redistribute it and/or
% modify it under the terms of the GNU Lesser General Public
% License as published by the Free Software Foundation; either
% version 2.1 of the License, or (at your option) any later version.
%
% This library is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
% Lesser General Public License for more details.
%
% You should have received a copy of the GNU Lesser General Public
% License along with this library; if not, write to the Free Software
% Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
if (nargin < 1)
fprintf('%s\n', help('normalise'));
error('Incorrect number of inputs - see above usage instructions.');
end
numFeatures = size(X1, 2);
%Just make sure the training example features have unit norm
featureNorms = sqrt(sum(X1.^2));
%Bit of cheat to make sure we don't divide by zero
zeros = featureNorms == 0;
featureNorms = 1./(featureNorms+zeros);
if ~issparse(X1)
diagNorms = diag(featureNorms);
else
diagNorms = speye(numFeatures);
for i=1:numFeatures
diagNorms(i, i) = featureNorms(i);
end
end
normalisedX1 = X1*diagNorms;
if (nargin == 2)
normalisedX2 = X2*diagNorms;
end
* centerData.m - center a matrix of examples so that each feature has zero mean.
function [cX1, cX2] = centerData(X1, X2)
% Centers matrices X1 (and optionally X2) by taking the mean of each column
% (feature) of X1 and subtracting it from the feature values.
%
% Usage: [cX1, cX2] = centerData(X1, X2)
% Inputs/Outputs:
% X1 - an (l x n) matrix whose rows are examples
% X2 (optional) - an (l2 x m) matrix whose rows are examples
%
% cX1 - centered X1
% cX2 (optional) - centered X2
%
% Copyright (C) 2006 Charanpal Dhanjal
% This library is free software; you can redistribute it and/or
% modify it under the terms of the GNU Lesser General Public
% License as published by the Free Software Foundation; either
% version 2.1 of the License, or (at your option) any later version.
%
% This library is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
% Lesser General Public License for more details.
%
% You should have received a copy of the GNU Lesser General Public
% License along with this library; if not, write to the Free Software
% Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
% USA
if (nargin < 1)
fprintf('%s\n', help('centerData'));
error('Incorrect number of inputs - see above usage instructions.');
end
numX1Examples = size(X1, 1);
meanX1 = mean(X1);
if (nargin == 1)
cX1 = X1 - ones(numX1Examples, 1)*meanX1;
else
numX2Examples = size(X2,1);
cX1 = X1 - ones(numX1Examples, 1)*meanX1;
cX2 = X2 - ones(numX2Examples, 1)*meanX1;
end
* normaliseExamples.m - scale each example so that it lies on a hyper-sphere of radius 1.
function [normalisedX] = normaliseExamples(X)
% Normalise examples so they lie on a sphere of radius 1
%
% Usage: [normalisedX] = normaliseExamples(X)
% Inputs/Outputs:
% X - an (l x n) matrix whose rows are examples
%
% normalisedX - normalised X
% Copyright (C) 2006 Charanpal Dhanjal
% This library is free software; you can redistribute it and/or
% modify it under the terms of the GNU Lesser General Public
% License as published by the Free Software Foundation; either
% version 2.1 of the License, or (at your option) any later version.
%
% This library is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
% Lesser General Public License for more details.
%
% You should have received a copy of the GNU Lesser General Public
% License along with this library; if not, write to the Free Software
% Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
% USA
if (nargin ~= 1)
fprintf('%s\n', help(sprintf('%s', mfilename)));
error('Incorrect number of inputs - see above usage instructions.');
end
R = max(sqrt(sum(X.^2, 2)));
normalisedX = X/R;
Evaluate
* precision.m - compute the precision on a set of predicted labels.
* recall.m - compute the recall of a set of predicted labels.
* fMeasure.m - compute the F-measure of a set of predicted labels.
* averagePrecision.m - compute the average precision of a set of predicted labels.
* truePositiveRate.m - compute the true positive rate of a set of predicted labels.
* falsePositiveRate.m - compute the false positive rate of a set of predicted labels.
* balancedErrorRate.m - compute the balanced error rate (BER) of a set of predicted labels.
* rootMeanSqError.m - compute the root mean squared erorr of a set of predicted labels.
Feature extraction
* primalGeneralFeatures.m - extract primal general features for a matrix of examples and predicted labels
* maxVariance.m - find the projection vector of maximal variance for a matrix of examples.
* maxCovariance.m - find the projection vector which maximises the covariance between a matrix of examples and corresponding labels.
* dualPCATrain.m - train the Kernel Principal Components Analysis (KPCA) algorithm.
* dualPCAProject.m - project test examples for the Kernel Principal Components Analysis (KPCA) algorithm.
Miscellaneous
* data.zip - a data object which is efficient with memory usage. Operations to add and delete matrices to the object as well as permuting and partitioning data.
* binaryLabels.m - check if a label matrix contains binary values.
* vprintf.m - print strings to screen with optional relevancy parameter.
* getSpaceNames.m - utility function to get name of X and Y spaces.
* maxN.m - return indices for the maximum n elements of a matrix.
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