We propose a new decoder based on a generalized confidencescore. The generalized confidence score is defined as a product of confidence scores obtained from confidence information sources such as likelihood, likelihood ratio, duration, duration ratio, language model probabilities, supra-segmental information etc. All confidence information sources are converted into confidence scores by a confi...

The \generalized universe of sets" aspect of toposes is relatively easy to understand and is well documented in the literature: start with Goldblatt [1] and proceed via Mac Lane and Moerdijk [5], or MacLarty [4], to Johnstone [2]. The basic trick is to use categorical properties to characterize set-theoretic constructions in the category of sets, and thence to transfer them to other categories ...

Generalized Haar wavelets were introduced in connection with the problem of detecting specific periodic components in noisy signals. John Benedetto and I showed that the non–normalized continuous wavelet transform of a periodic function taken with respect to a generalized Haar wavelet is periodic in time as well as in scale, and that generalized Haar wavelets are the only bounded functions with...

We propose an algorithm to detect scene changes in a video sequence in the compressed domain. We define a feature vector extracted from each frame that we call the generalized trace. We examine various ways of processing the generalized trace to determine the temporal location of scene changes in a video stream.

Filters in a convolutional network are typically parametrized in a pixel basis. As an orthonormal basis, pixels may represent any arbitrary vector in R. In this paper, we relax this orthonormality requirement and extend the set of viable bases to the generalized notion of frames. When applying suitable frame bases to ResNets on Cifar-10+ we demonstrate improved error rates by substitution only....

Quantized frame expansions are proposed as a method for generalized multiple description coding where each quantized coe cient is a description Whereas previous investigations have revealed the robustness of frame expansions to additive noise and quantization this represents a new application of frame expansions The performance of a system based on quantized frame expansions is compared to that...

Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold M = M 0 × n i=1 M i (n ≥ 1) are investigated under dimensional reduction to a D 0-dimensional effective non-minimally coupled σ-model which generalizes the familiar Brans-Dicke model. It is argued that the Einstein frame should be considered as the physical one. The general prescription for the Eins...

We present particular solutions for the following important nonlinear second order differential equations: modified Emden, generalized Lienard, convective Fisher, and generalized Burgers-Huxley. For the latter two equations these solutions are obtained in the travelling frame. All these particular solutions are the result of extending a simple and efficient factorization method that we develope...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...