Multi-task compressive sensing with dirichlet process priors

Yuting Qi, Dehong Liu, David Dunson, Lawrence Carin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

37 Scopus citations

Abstract

Compressive sensing (CS) is an emerging £eld that, under appropriate conditions, can signi£cantly reduce the number of measurements required for a given signal. In many applications, one is interested in multiple signals that may be measured in multiple CS-type measurements, where here each signal corresponds to a sensing "task". In this paper we propose a novel multitask compressive sensing framework based on a Bayesian formalism, where a Dirichlet process (DP) prior is employed, yielding a principled means of simultaneously inferring the appropriate sharing mechanisms as well as CS inversion for each task. A variational Bayesian (VB) inference algorithm is employed to estimate the full posterior on the model parameters. Copyright 2008 by the author(s)/owner(s).
Original languageEnglish (US)
Title of host publicationProceedings of the 25th International Conference on Machine Learning
PublisherAssociation for Computing Machinery (ACM)
Pages768-775
Number of pages8
ISBN (Print)9781605582054
DOIs
StatePublished - Jan 1 2008
Externally publishedYes

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