{"paper":{"title":"Regularization of inverse problems via box constrained minimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OC","authors_text":"Barbara Kaltenbacher, Franz Rendl, Philipp Hungerl\\\"ander","submitted_at":"2018-07-30T12:34:13Z","abstract_excerpt":"In the present paper we consider minimization based formulations of inverse problems $(x,\\Phi)\\in\\mbox{argmin}\\{\\mathcal{J}(x,\\Phi;y)\\colon(x,\\Phi)\\in M_{ad}(y) \\}$ for the specific but highly relevant case that the admissible set $M_{ad}^\\delta(y^\\delta)$ is defined by pointwise bounds, which is the case, e.g., if $L^\\infty$ constraints on the parameter are imposed in the sense of Ivanov regularization, and the $L^\\infty$ noise level in the observations is prescribed in the sense of Morozov regularization. As application examples for this setting we consider three coefficient identification p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11316","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}