Publication Date

12-2006

Comments

UTEP-CS-06-47

Abstract

Traditional engineering techniques use the Least Squares method (i.e., in mathematical terms, the l2-norm) to process data. It is known that in many practical situations, lp-methods with p=/=2 lead to better results. In different practical situations, different values of p are optimal. It is known that in several situations when we need to reconstruct a piecewise smooth signal, the empirically optimal value of p is close to 1. In this paper, we provide a new interval-based theoretical explanation for this empirical fact.

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