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Structured Sparsity for Sound Field Reproduction with Overlapping Groups: Investigation of the Latent Group Lasso

Sound ?eld reproduction (SFR) applied to microphone array recordings can be de?ned as an inverse problem. A typical issue is the resulting spatial source signal distribution. A least-square approach with solution 2-norm regularization will activate all sources. To circumvent such issues, sparsity-based regularization offers promising advantages. However, this can result in too sparse solutions. A promising avenue is based on structured-sparsity for prede?ned groups of reproduction sources. To this end, the group lasso was recently investigated without overlapping group. Its inability to deal with overlapping groups is a limitation. This paper presents the latent group lasso (LGL) where group-level sparsity is induced for overlapping groups. Theoretical results of LGL are successfully compared to other SFR results for sparsity-inducing norms.

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