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The L1 Method

Richard L. Branham
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Richard L. Branham: Jefe Area Matematicas y Del Centro Regional de Investigaciones Científicas y Tecnológicas

Chapter Chapter 6 in Scientific Data Analysis, 1990, pp 133-167 from Springer

Abstract: Abstract In Chapter 4 we pointed out that the L 1 criterion, i.e., minimize the sum of the absolute values of the residualsis, 6.1 $$ {{\left\| r \right\|}_{1}} = {{\left\| {A\cdot X - d} \right\|}_{1}} = \min , $$ because of its robustness, extremely useful for data reduction. Where does this robustness come from? The answer to this question will be given in several stages.

Date: 1990
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DOI: 10.1007/978-1-4612-3362-6_6

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