Publisher review:Data Dimension Reduction transforms vector data into a subspace of one less dimension, along direction of smallest extent. DIMRED - Data Dimension Reduction. Linearly transforms vector data into a subspace of one less dimension. Compresses data along the (arbitrary) direction of smallest spatial extent.[D,R,T] = dimred(X)X = Original vector data. Each row is a data point. Each column is a dimension in the original space.D = Reduced vector data. Each row is a data point. Each column is a dimension in the lower-dimensional space.R = "rotation" matrix to convert data from the the reduced space back into the original data space (for example, after performing operations on the data in the lower-dimensional space). Convert D back to X by using X = D*R T;T = "translation" matrix to convert data from the the reduced space back into the original data space (for example, after performing operations on the data in the lower-dimensional space). Convert D back to X by using X = D*R T;NOTES:(1) The narrowest dimension of the data is compressed to zero. No attempt is made to verify that this is prudent. The user may wish to compute a dimensionality ratio r such asg = svd(X); r = min(g) / max(g);or,g = abs(eig(cov(X))); r = min(g)/max(g);and then proceed if r < 1e-6, for example.(2) To convert some function F of D back to a function G of Xin the higher dimnensional space as follows:X = (original data)[D,R,T] = dimred(X);F = (result of some presumably linear operation perfomed on D)G = F*R T;(3) ver 1.0, Michael Kleder, July 2005 Requirements: ยท MATLAB Release: R14SP1
Data Dimension Reduction 1.0 is a Matlab script for Mathematics scripts design by Michael Kleder.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris