Fig 3: Comparison of BLS-GSM CS and l1 norm CS for imaging of right coronary artery. Fig. 1: a) Wavelet coefficients of a 2D slice of a coronary image. b) Random permutation of the same coefficients shown in (a). Both data have equivalent lp norm, which suggests CS lp norm regularizers do not take into account the clustering and correlation of information in the transform domain. Compressed Sen...

We describe ongoing work in the experi mental evaluation of a range of methods for measuring the phonetic distance be tween the dialectal variants of pronuncia tions All are variants of Levenshtein dis tance both simple based on atomic char acters and complex based on feature vec tors The measurements using feature vec tors varied according to whether city block distance Euclidean distance or a...

We provide a simple and efficient algorithm for the projection operator for weighted l1-norm regularization subject to a sum constraint, together with an elementary proof. The implementation of the proposed algorithm can be downloaded from the author’s homepage. 1 The problem In this report, we consider the following optimization problem: min x 1 2 ‖x − y‖ 2 + n

This paper is concerned with the stability of self-adjoint second order elliptic problems with respect to perturbations of the involved coeecient functions. In particular, we study such behaviour for the pressure equation related to incompressible or steady state ow in a heterogeneous reservoir. We establish analytical estimates on the changes in the pressure and velocity caused by mobility per...

This paper introduces the notion of multiset codes as relevant to the problem of reliable information transmission over permutation channels. The motivation for studying permutation channels comes from the effect of out of order delivery of packets in some types of packet networks. The proposed codes are a generalization of the so-called subset codes, recently proposed by the authors. Some of t...

Norms represent the expected behavior of an agent in a multi-agent system. Generally, norms describe the actions that can be performed, must be performed, and cannot be performed in the system. Due to the number of norms defined to govern a multi-agent systems (MAS), norms may conflict with each other. Norms are in conflict when the fulfillment of one norm violates the other and vice-versa. The...

This paper presents an efficient algorithm to solve Lp-norm minimization problem for under-determined speech separation; that is, for the case that there are more sound sources than microphones. We employ an auxiliary function method in order to derive update rules under the assumption that the amplitude of each sound source follows generalized Gaussian distribution. Experiments reveal that our...

Stability results are proved for traveling waves in a class of reaction-diffusion systems that arise in chemical reaction models. The class includes systems in which there is no diffusion in some equations. A weight function that decays exponentially at one end is required to stabilize the essential spectrum. Perturbations of the wave in H1 or BUC that are small in both the weighted norm and th...

The many variants of the restricted isometry property (RIP) have proven to be crucial theoretical tools in the fields of compressed sensing and matrix completion. The study of extending compressed sensing to accommodate phaseless measurements naturally motivates a strong notion of restricted isometry property (SRIP), which we develop in this paper. We show that if A ∈ Rm×n satisfies SRIP and ph...

We propose a tracker-independent framework to determine time instants when a video tracker fails. The framework is divided into two steps. First, we determine tracking quality by comparing the distributions of the tracker state and a region around the state. We generate the distributions using Distribution Fields and compute a tracking quality score by comparing the distributions using the L1 d...