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Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing. The data is linearly transformed onto a new coordinate system such that the directions (principal components) capturing the largest variation in the data can be easily identified.
PCR can aptly deal with such situations by excluding some of the low-variance principal components in the regression step. In addition, by usually regressing on only a subset of all the principal components, PCR can result in dimension reduction through substantially lowering the effective number of parameters characterizing the underlying model.
In the field of multivariate statistics, kernel principal component analysis (kernel PCA) [1] is an extension of principal component analysis (PCA) using techniques of kernel methods. Using a kernel, the originally linear operations of PCA are performed in a reproducing kernel Hilbert space .
Few topics have sparked more debate among housing market watchers than mortgage principal reduction. Its proponents tout debt forgiveness as one of the surest ways to counteract the housing slump.
Tuesday's hearing by the House Committee on Financial Services was ostensibly on "Second Liens and Other Barriers to Principal Reduction as an Effective Foreclosure Mitigation Program," as the ...
Only about 1 in 20 underwater homeowners may qualify for principal reduction under states' recent settlement with five big banks, a new study says. A calculation by a Brookings Institution ...
In geometry and linear algebra, a principal axis is a certain line in a Euclidean space associated with a ellipsoid or hyperboloid, generalizing the major and minor axes of an ellipse or hyperbola. The principal axis theorem states that the principal axes are perpendicular , and gives a constructive procedure for finding them.
By Jon Prior JPMorgan Chase went from fast-tracking foreclosures to rubber stamping and pre-approving some borrowers for refinances and even principal reduction. The five largest mortgage ...