Non-convex P-Norm Projection for Robust Sparsity

Mithun Das Gupta, Sanjeev Kumar; Proceedings of the IEEE International Conference on Computer Vision (ICCV), 2013, pp. 1593-1600

Abstract


In this paper, we investigate the properties of L p norm (p Ittiswithin a projection framework. We start with the KKT equations of the non-linear optimization problem and then use its key properties to arrive at an algorithm for L p norm projection on the non-negative simplex. We compare with L 1 projection which needs prior knowledge of the true norm, as well as hard thresholding based sparsification proposed in recent compressed sensing literature. We show performance improvements compared to these techniques across different vision applications.

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[bibtex]
@InProceedings{Gupta_2013_ICCV,
author = {Das Gupta, Mithun and Kumar, Sanjeev},
title = {Non-convex P-Norm Projection for Robust Sparsity},
booktitle = {Proceedings of the IEEE International Conference on Computer Vision (ICCV)},
month = {December},
year = {2013}
}