ICA 2007

ICA 2007
7th International Conference on
Independent Component Analysis
and Signal Separation

London, UK        9 - 12 September 2007

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Paper No: 151

Dictionary Learning for L1-Exact Sparse Coding

Author(s): Mark Plumbley

Abstract

We have derived a new algorithm for dictionary learning for sparse coding in the L1 exact sparse framework. The algorithm does not rely on an approximation residual to operate, but rather uses the special geometry of the L1 exact sparse solution to give a computationally simple yet conceptually interesting algorithm. A self-normalizing version of the algorithm is also derived, which uses negative feedback to ensure that basis vectors converge to unit norm. The operation of the algorithm is illustrated on a simple numerical example.

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