{"paper":{"title":"Information Structures for Feedback Capacity of Channels with Memory and Transmission Cost: Stochastic Optimal Control & Variational Equalities-Part I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Charalambos D. Charalambous, Christos K. Kourtellaris","submitted_at":"2015-12-14T20:52:04Z","abstract_excerpt":"The Finite Transmission Feedback Information (FTFI) capacity is characterized for any class of channel conditional distributions $\\big\\{{\\bf P}_{B_i|B^{i-1}, A_i} :i=0, 1, \\ldots, n\\big\\}$ and $\\big\\{ {\\bf P}_{B_i|B_{i-M}^{i-1}, A_i} :i=0, 1, \\ldots, n\\big\\}$, where $M$ is the memory of the channel, $B^n {\\stackrel{\\triangle}{=}} \\{B_j: j=\\ldots, 0,1, \\ldots, n\\}$ are the channel outputs and $A^n{\\stackrel{\\triangle}{=}} \\{A_j: j=\\ldots, 0,1, \\ldots, n\\}$ are the channel inputs. The characterizations of FTFI capacity, are obtained by first identifying the information structures of the optimal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04514","kind":"arxiv","version":2},"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"}