{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SX4ZD2ZB6TKDJZRU4Y5TY6Q2UK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"011c44a406f808f838f604938a943b94af6d1c84e619c13114c413d36b5502c2","cross_cats_sorted":["cs.LG","cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-05T20:49:38Z","title_canon_sha256":"b71420bf0bc6ba8ca2c99df96eb1f2d74808d5ba1993ea3c42937cda968143fc"},"schema_version":"1.0","source":{"id":"1906.02304","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.02304","created_at":"2026-07-05T00:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"1906.02304v3","created_at":"2026-07-05T00:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.02304","created_at":"2026-07-05T00:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"SX4ZD2ZB6TKD","created_at":"2026-07-05T00:40:24Z"},{"alias_kind":"pith_short_16","alias_value":"SX4ZD2ZB6TKDJZRU","created_at":"2026-07-05T00:40:24Z"},{"alias_kind":"pith_short_8","alias_value":"SX4ZD2ZB","created_at":"2026-07-05T00:40:24Z"}],"graph_snapshots":[{"event_id":"sha256:abd5718023b3919deebd5325024913c8543bb72ef65b713bb208f1de3ba442dc","target":"graph","created_at":"2026-07-05T00:40:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1906.02304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we propose a class of numerical schemes for solving semilinear Hamilton-Jacobi-Bellman-Isaacs (HJBI) boundary value problems which arise naturally from exit time problems of diffusion processes with controlled drift. We exploit policy iteration to reduce the semilinear problem into a sequence of linear Dirichlet problems, which are subsequently approximated by a multilayer feedforward neural network ansatz. We establish that the numerical solutions converge globally in the $H^2$-norm, and further demonstrate that this convergence is superlinear, by interpreting the algorithm as a","authors_text":"Christoph Reisinger, Kazufumi Ito, Yufei Zhang","cross_cats":["cs.LG","cs.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-05T20:49:38Z","title":"A neural network based policy iteration algorithm with global $H^2$-superlinear convergence for stochastic games on domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.02304","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:08a78891d00731b5a574e4ed87fe7fa6861ad26fe515f6fba21edfdfa32eb3bb","target":"record","created_at":"2026-07-05T00:40:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"011c44a406f808f838f604938a943b94af6d1c84e619c13114c413d36b5502c2","cross_cats_sorted":["cs.LG","cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-05T20:49:38Z","title_canon_sha256":"b71420bf0bc6ba8ca2c99df96eb1f2d74808d5ba1993ea3c42937cda968143fc"},"schema_version":"1.0","source":{"id":"1906.02304","kind":"arxiv","version":3}},"canonical_sha256":"95f991eb21f4d434e634e63b3c7a1aa2abc93a874ca79e1b3ccf455757a6abbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95f991eb21f4d434e634e63b3c7a1aa2abc93a874ca79e1b3ccf455757a6abbd","first_computed_at":"2026-07-05T00:40:24.599168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:40:24.599168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hWwtnALpBVSoweVMwxreTnFVquNRih77Nes+EVRT+qSeo1Q3tYu3wMusSGIk1bbUblEqSVfHEJCXqfvRiUmgDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:40:24.599680Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.02304","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08a78891d00731b5a574e4ed87fe7fa6861ad26fe515f6fba21edfdfa32eb3bb","sha256:abd5718023b3919deebd5325024913c8543bb72ef65b713bb208f1de3ba442dc"],"state_sha256":"7f5800444393903fb4167c4c39b7896f57e0dd21de641359469da38a26750b84"}