-

 

 

 




Optimization Online





 

An exact tree projection algorithm for wavelets

Coralia Cartis(coralia.cartis***at***ed.ac.uk)
Andrew Thompson(thompson***at***math.duke.edu)

Abstract: We propose a dynamic programming algorithm for projection onto wavelet tree structures. In contrast to other recently proposed algorithms which only give approximate tree projections for a given sparsity, our algorithm is guaranteed to calculate the projection exactly. We also prove that our algorithm has O(Nk) complexity, where N is the signal dimension and k is the sparsity of the tree approximation.

Keywords: Sparse representations, wavelets, dynamic programming, complexity analysis, compressed sensing

Category 1: Applications -- Science and Engineering

Category 2: Other Topics (Dynamic Programming )

Citation: ERGO Technical Report 13-006, School of Mathematics, University of Edinburgh, UK, 2013.

Download: [PDF]

Entry Submitted: 04/18/2013
Entry Accepted: 04/18/2013
Entry Last Modified: 04/18/2013

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society