Universal Frame Thresholding

Romain Cosentino, Randall Balestriero, Richard G. Baraniuk, Behnaam Aazhang

Research output: Contribution to journalArticlepeer-review


We provide the first frame agnostic thresholding scheme based on risk minimization, which can be applied to arbitrary frames and provide its theoretical guarantees. We investigate the proposed scheme, study its empirical risk, and demonstrates how it falls back to the standard Donoho thresholding scheme for orthogonal basis. We then validate our technique and apply it to the overcomplete wavelet transforms of the Deep Scattering Network. We are thus obtaining an invariant and thresholded representation of the signals providing significant performance gains compared to the non-thresholded version.

Original languageEnglish (US)
Article number9113464
Pages (from-to)1115-1119
Number of pages5
JournalIEEE Signal Processing Letters
StatePublished - 2020


  • Bird song
  • classification
  • frame
  • overcomplete
  • scattering network
  • sparsity
  • thresholding
  • wavelet

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


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