A new fast likelihood computation approach is proposed for HMM-based continuous speech recognition. This approach is an extension of the partial distance elimination (PDE) technique. Like PDE, the extended PDE (EPDE) approach aims at finding the most prominent Gaussian in a GMM for a given observation, and approximating the GMM’s likelihood with the identified Gaussian. EPDE relies on a novel s...

Abstract. In this work, it has been shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve time fractional generalized KdV of order 2q+1 and certain fractional PDEs. It is shown that exponential operators are an effective method for solving certain fractional linear equations with non-constant coefficients. It may be concluded that the com...

Abstract We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and doubling metric measure spaces. show that the strongly amv-harmonic are Hölder continuous for any exponent below one. More generally, we define class of finite amv-norm this belong a fractional Hajłasz–Sobolev space their blow-ups satisfy mean-value property. Furt...

<p style='text-indent:20px;'>We propose a new variational framework to remove mixture of Gaussian and impulse noise from images. This is based on non-convex PDE-constrained with fractional-order operator. The norm applied the component controlled by weighted parameter <inline-formula><tex-math id="M1">\begin{document}$ \gamma $\end{document}</tex-math></inline-formula...

The possible involvement of phosphodiesterase (PDE) activation in phototransduction was investigated in gecko photoreceptors by comparing the in situ PDE activity with the photoreceptor potential. In the dark, intracellular injection of cGMP into a gecko photoreceptor caused a long-lasting depolarization. An intense light flash given during the depolarization phase repolarized the cell with a s...

‎in this paper‎, ‎we study the boundary-value problem of fractional‎ ‎order dynamic equations on time scales‎, ‎$$‎ ‎^c{delta}^{alpha}u(t)=f(t,u(t)),;;tin‎ ‎[0,1]_{mathbb{t}^{kappa^{2}}}:=j,;;1

We investigated the kinetics and sensitivity of photocurrent responses of salamander rods, both in darkness and during adaptation to steady backgrounds producing 20-3,000 photoisomerizations per second, using suction pipet recordings. The most intense backgrounds suppressed 80% of the circulating dark current and decreased the flash sensitivity approximately 30-fold. To investigate the underlyi...