Transforming a dataset into one with fewer columns is more complicated than it might seem, explains Dr. James McCaffrey of Microsoft Research in this full-code, step-by-step machine learning tutorial.

For a covariance or correlation matrix, the sum of its eigenvalues equals the trace of the matrix, that is, the sum of the variances of the n y variables for a covariance matrix, and n y for a ...

The size of an organism at any point during ontogeny often has fitness consequences through either direct selection on size or through selection on size-related morphological, performance, or life ...

We examined the ability of eigenvalue tests to distinguish field-collected from random, assemblage structure data sets. Eight published time series of species abundances were used in the analysis, ...

A relatively obscure eigenvalue due to Wielandt is used to give a simple derivation of the asymptotic distribution of the eigenvalues of a random symmetric matrix. The asymptotic distributions are ...

The PROC PRINCOMP statement starts the PRINCOMP procedure and, optionally, identifies input and output data sets, specifies details of the analysis, or suppresses the display of output. You can ...