منابع مشابه
Distributed Algorithms for Basis Pursuit
The Basis Pursuit (BP) problem consists in finding a least `1 norm solution of the underdetermined linear system Ax = b. It arises in many areas of electrical engineering and applied mathematics. Applications include signal compression and modeling, estimation, fitting, and compressed sensing. In this paper, we explore methods for solving the BP in a distributed environment, i.e., when the comp...
متن کاملBasis Pursuit
The Time-Frequency and Time-Scale communities have recently developed a large number of overcomplete waveform dictionaries { stationary wavelets, wavelet packets, cosine packets, chirplets, and warplets, to name a few. Decomposition into overcomplete systems is not unique, and several methods for decomposition have been proposed, including the Method of Frames, Matching Pursuit and, for special...
متن کاملBASIS PURSUIT BASED GENETIC ALGORITHM FOR DAMAGE IDENTIFICATION
In damage detection the number of elements is generally more than the number of measured frequencies. Consequently, the corresponding damage detection equation is undetermined and thus has infinite solutions. Since in the damaged structures most of their elements remain healthy, the sparsest solution for the damage detection equation is mostly the actual damage. In the proposed method, the dama...
متن کاملKernel Basis Pursuit
Estimating a non-uniformly sampled function from a set of learning points is a classical regression problem. Kernel methods have been widely used in this context, but every problem leads to two major tasks: optimizing the kernel and setting the fitness-regularization compromise. This article presents a new method to estimate a function from noisy learning points in the context of RKHS (Reproduc...
متن کاملBasis pursuit for tracking
This paper introduces a novel adaptive texture feature selection algorithm for tracking. Specifically, we provide a statistical wavelet basis paradigm to maximally separate statistical characteristics of the object-in-interest and its background. The algorithm is based upon non-linearly selecting basis elements out of dual dictionaries in an iterative fashion to continually improve a cost funct...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2012
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2011.2182347