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Conic Matching Pursuit

version 1.0.0.0 (2.6 KB) by Joshua Carmichael
Expands data as sum of conic projections

2 Downloads

Updated 11 Apr 2009

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This is a projection pursuit type algorithm that decomposes a signal by projecting the residual at each level onto a convex cone and the respective polar cone.

The set giving cone k is described by a vector w = W(:,k) and scalar rho:

C_k = { x : x'w >= rho*|| x || };

The polar cone is:

C*_k = { y: y'x <= 0, x element of C_k };

where w is the reference vector for the set C. The projector for this set is described in:

Henry Stark and Youngyi Yang, "Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets, and Optics", Wiley Interscience Publications, 1998.

On pages 109-113, Section 3.5, in the discussion on similarity
constraints.

I have NOT yet published this algorithm, but it is my theory/development. Comments welcome!

Cite As

Joshua Carmichael (2021). Conic Matching Pursuit (https://www.mathworks.com/matlabcentral/fileexchange/23630-conic-matching-pursuit), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (2)

zhansheng chen

thx for your sharing

vaishali kumar

toolkit for to decompose audio signal into audio atom

MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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