ICASSP 2006 - May 15-19, 2006 - Toulouse, France

Technical Program

Paper Detail

Paper:MLSP-L3.4
Session:Learning Theory II
Time:Thursday, May 18, 11:00 - 11:20
Presentation: Lecture
Topic: Machine Learning for Signal Processing: Bayesian Learning and Modeling
Title: BAYESIAN L1-NORM SPARSE LEARNING
Authors: Yuanqing Lin, Daniel D. Lee, University of Pennsylvania, United States
Abstract: We propose a Bayesian framework for learning the optimal regularization parameter in the L1-norm penalized east-mean-square (LMS) problem, also known as LASSO or basis pursuit. The setting of the regularization parameter is critical for deriving a correct solution. In most existing methods, the scalar regularization parameter is often determined in a heuristic manner; in contrast, our approach infers the optimal regularization setting under a Bayesian framework. Furthermore, Bayesian inference enables an independent regularization scheme where each coefficient (or weight) is associated with an independent regularization parameter. Simulations illustrate the improvement using our method in discovering sparse structure from noisy data.



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