Multi-task compressive sensing with Dirichlet process priors

Authors:
Yuting Qi;Dehong Liu;David Dunson;Lawrence Carin
Affiliations:
Duke University, Durham, NC;Duke University, Durham, NC;Duke University, Durham, NC;Duke University, Durham, NC
Venue:
Proceedings of the 25th international conference on Machine learning
Year:
2008

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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.