Block Sparse Bayesian Learning: A Diversified Scheme

Yanhao Zhang, Zhihan Zhu, Yong Xia

Keywords: Compressed Sensing, Diversified Block Sparse Prior, Sparse Bayesian Learning, Lagrange Dual Ascent.

Abstract: This paper introduces a novel prior called Diversified Block Sparse Prior to characterize the widespread block sparsity phenomenon in real-world data. By allowing diversification on intra-block variance and inter-block correlation matrices, we effectively address the sensitivity issue of existing block sparse learning methods to pre-defined block information, which enables adaptive block estimation while mitigating the risk of overfitting. Based on this, a diversified block sparse Bayesian learning method (DivSBL) is proposed, utilizing EM algorithm and dual ascent method for hyperparameter estimation. Moreover, we establish the global and local optimality theory of our model. Experiments validate the advantages of DivSBL over existing algorithms.

Primary Area: Probabilistic methods (for example: variational inference, Gaussian processes)

Submission Number: 5278