Procrustean methods are used to transform one set of data to represent another set of data
as closely as possible. The name derives from the Greek myth where Procrustes invited …

In many multivariate statistical techniques, a set of linear functions of the original p variables
is produced. One of the more difficult aspects of these techniques is the interpretation of the …

In this paper, we first propose a novel generalized power iteration (GPI) method to solve the
quadratic problem on the Stiefel manifold (QPSM) as min_ W^ TW= I min WTW= I Tr (WT …

Effective features can improve the performance of a model and help us understand the
characteristics and underlying structure of complex data. Previously proposed feature …

An orthogonal Procrustes problem on the Stiefel manifold is studied, where a matrix Q with
orthonormal columns is to be found that minimizes ‖AQ-B‖_\rmF for an l*m matrix A and …

Feature selection has attracted a lot of attention in obtaining discriminative and non-
redundant features from high-dimension data. Compared with traditional filter and wrapper …

Any logical procedure that is used to reason or to infer either deductively or inductively, so
as to draw conclusions or make decisions, can be called, in a broad sense, a realization …

A multimode network consists of heterogeneous types of actors with various interactions
occurring between them. Identifying communities in a multimode network can help …

Sliced inverse regression (SIR) is an innovative and effective method for dimension
reduction and data visualization of high-dimensional problems. It replaces the original …

We consider a parametric family of quadratically constrained quadratic programs and their
associated semidefinite programming (SDP) relaxations. Given a nominal value of the …