Compositional models for audio processing: Uncovering the structure of sound mixtures

Tuomas Virtanen, Jort Florent Gemmeke, Bhiksha Raj, Paris Smaragdis

Research output: Contribution to journalArticlepeer-review

Abstract

Many classes of data are composed as constructive combinations of parts. By constructive combination, we mean additive combination that does not result in subtraction or diminishment of any of the parts. We will refer to such data as compositional data. Typical examples include population or counts data, where the total count of a population is obtained as the sum of counts of subpopulations. To characterize such data, various mathematical models have been developed in the literature. These models, in conformance with the nature of the data, represent them as nonnegative linear combinations of parts, which themselves are also nonnegative to ensure that such a combination does not result in subtraction or diminishment. We will refer to such models as compositional models.

Original languageEnglish (US)
Article number7038275
Pages (from-to)125-144
Number of pages20
JournalIEEE Signal Processing Magazine
Volume32
Issue number2
DOIs
StatePublished - Mar 1 2015

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics

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