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Physical Sciences and Mathematics Commons

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2011

Open Access Theses & Dissertations

Applied Mathematics

Classification

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A Sparse Representation Technique For Classification Problems, Reinaldo Sanchez Arias Jan 2011

A Sparse Representation Technique For Classification Problems, Reinaldo Sanchez Arias

Open Access Theses & Dissertations

In pattern recognition and machine learning, a classification problem refers to finding an algorithm for assigning a given input data into one of several categories. Many natural signals are sparse or compressible in the sense that they have short representations when expressed in a suitable basis. Motivated by the recent successful development of algorithms for sparse signal recovery, we apply the selective nature of sparse representation to perform classification. In order to find such sparse linear representation, we implement an l1-minimization algorithm. This methodology overcomes the lack of robustness with respect to outliers. In contrast to other classification …