In this article, we describe a speaker adaptation method based on the probabilistic 2-mode analysis of training models. Probabilistic 2-mode analysis is a probabilistic extension of multilinear analysis. We apply probabilistic 2-mode analysis to speaker adaptation by representing each of the hidden Markov model mean vectors of training speakers as a matrix, and derive the speaker adaptation equ...

The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. In spite of the probabilistic nature these methods are nevertheless deterministic. The algorithms are tested by simulating the Burgers equation with small viscosity and the generalized KPP-equation with a small parameter. 1991 Mathematics...

The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabilistic nature these methods are nevertheless deterministic. The algorithms are tested by simulating the Burgers equation with small viscosity and the generalized KPP-equation with a small parameter.

The Hill equation was first introduced by A.V. Hill to describe the equilibrium relationship between oxygen tension and the saturation of haemoglobin. In pharmacology, the Hill equation has been extensively used to analyse quantitative drug-receptor relationships. Many pharmacokinetic-pharmacodynamic models have used the Hill equation to describe nonlinear drug dose-response relationships. Alth...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 3 September 2020Accepted: 01 2021Published online: 30 November 2021KeywordsPDE constrained optimization, sensitivity analysis, probabilistic numericsAMS Subject Headings62G86, 62P30, 35Q93, 35R30Publication DataISSN (online): 2166-2525Publisher: Society for Industrial and...