A subspace of matrices in F m×n qe can be naturally embedded as a xmlns:xlink="http://www.w3.org/1999/xlink">em×en xmlns:xlink="http://www.w3.org/1999/xlink">q with the property...

Research has shown that rank statistics derived from contextdependent state likelihood can provide robust speech recognition. In previous work, empirical distributions were used to characterize the rank statistics. We present parametric models of the state rank and the rank likelihood, and then based on them, present a new objective function, Maximal Rank Likelihood (MRL), for estimating parame...

We present algorithms which involve both the splitting of formal series solutions to linear ordinary differential equations with polynomial coefficients into a finite sum of subseries which themselves will be solutions of linear ODEs, and the simplification of the recurrence relations satisfied by their coefficients.When coping with series that are solutions of a given differential equation at ...