Abstract. We develop conditions under which a product ∏∞ i=0 Ti of matrices chosen from a possibly infinite set of matrices S = {Tj |j ∈ J} converges. We obtain the following conditions which are… (More)

Speech emotion recognition is an important and challenging task in the realm of human-computer interaction. Prior work proposed a variety of models and feature sets for training a system. In this… (More)

In this paper we find formulas for group inverses of Laplacians of weighted trees. We then develop a relationship between entries of the group inverse and various distance functions on trees. In… (More)

We consider distance matrices of certain graphs and of points chosen in a rectangular grid. Formulae for the inverse and the determinant of the distance matrix of a weighted tree are obtained.… (More)

We developed an expert system (LIMPACT) to estimate the pesticide contamination of streams using macroinvertebrate indicators. Here, we present the database consisting of 157 data sets obtained from… (More)

Let MT be the mean 3rst passage matrix for an n-state ergodic Markov chain with a transition matrix T . We partition T as a 2× 2 block matrix and show how to reconstruct MT e@ciently by using the… (More)

Let V ∈ R be a nonnegative matrix. The nonnegative matrix factorization (NNMF) problem consists of finding nonnegative matrix factors W ∈ R and H ∈ R such that V ≈ WH. Lee and Seung proposed two… (More)

In this paper we determine the nonnegativity structure of the principal components of an n x n nonnegative matrix P in terms of the marked reduced graph R(A) of A = P p(P)!, the minus M -matrix which… (More)

Motivated by the theory of inhomogeneous Markov chains, we determine a sufficient condition for the convergence to 0 of a general product formed from a sequence of real or complex matrices. When the… (More)