{"ID":2869716,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.13745","arxiv_id":"2509.13745","title":"Theoretical Validation of the Latent Optimally Partitioned-$\\ell_2/\\ell_1$ Penalty with Application to Angular Power Spectrum Estimation","abstract":"This paper demonstrates that, in both theory and practice, the latent optimally partitioned (LOP)-$\\ell_2/\\ell_1$ penalty is effective for exploiting block-sparsity without knowledge of the concrete block structure. More precisely, we first present a novel theoretical result showing that the optimized block partition in the LOP-$\\ell_2/\\ell_1$ penalty satisfies a condition required for accurate recovery of block-sparse signals. Motivated by this result, we present a new application of the LOP-$\\ell_2/\\ell_1$ penalty to estimation of angular power spectrum, which is block-sparse with unknown block partition, in MIMO communication systems. Numerical simulations show that the proposed use of block-sparsity with the LOP-$\\ell_2/\\ell_1$ penalty significantly improves the estimation accuracy of the angular power spectrum.","short_abstract":"This paper demonstrates that, in both theory and practice, the latent optimally partitioned (LOP)-$\\ell_2/\\ell_1$ penalty is effective for exploiting block-sparsity without knowledge of the concrete block structure. More precisely, we first present a novel theoretical result showing that the optimized block partition i...","url_abs":"https://arxiv.org/abs/2509.13745","url_pdf":"https://arxiv.org/pdf/2509.13745v4","authors":"[\"Hiroki Kuroda\",\"Renato Luis Garrido Cavalcante\",\"Masahiro Yukawa\"]","published":"2025-09-17T07:00:08Z","proceeding":"eess.SP","tasks":"[\"eess.SP\"]","methods":"[]","has_code":false}