{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OKOPFLAUT7LGODSXGCBWQNLYYH","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":"ffaa88a68c10f1748f09d5491f46ab54bb1b78a6304c95af799e517f2464c6ae","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-11-04T01:07:56Z","title_canon_sha256":"a4394228c0175a6605a70afcd2f20761ce3491343a254ef58ec22a27c1113d84"},"schema_version":"1.0","source":{"id":"1711.02515","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02515","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02515v4","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02515","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"OKOPFLAUT7LG","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OKOPFLAUT7LGODSX","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OKOPFLAU","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:28cb863cc65c55c6b6d4762ee47faea3df713a8ba681f189fb0a50cca01a2fb2","target":"graph","created_at":"2026-05-17T23:45:15Z","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"},"paper":{"abstract_excerpt":"DR-submodular continuous functions are important objectives with wide real-world applications spanning MAP inference in determinantal point processes (DPPs), and mean-field inference for probabilistic submodular models, amongst others. DR-submodularity captures a subclass of non-convex functions that enables both exact minimization and approximate maximization in polynomial time.\n  In this work we study the problem of maximizing non-monotone DR-submodular continuous functions under general down-closed convex constraints. We start by investigating geometric properties that underlie such objecti","authors_text":"An Bian, Andreas Krause, Joachim M. Buhmann, Kfir Y. Levy","cross_cats":["cs.AI","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-11-04T01:07:56Z","title":"Continuous DR-submodular Maximization: Structure and Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02515","kind":"arxiv","version":4},"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":"sha256:338cee7d0c2a1441193e720f4b5cfd6f34ab02349c5f2ffdc2a1b90ff0dd3dbf","target":"record","created_at":"2026-05-17T23:45:15Z","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":"ffaa88a68c10f1748f09d5491f46ab54bb1b78a6304c95af799e517f2464c6ae","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-11-04T01:07:56Z","title_canon_sha256":"a4394228c0175a6605a70afcd2f20761ce3491343a254ef58ec22a27c1113d84"},"schema_version":"1.0","source":{"id":"1711.02515","kind":"arxiv","version":4}},"canonical_sha256":"729cf2ac149fd6670e573083683578c1cb5fda9e98ad05cd17a7b735cae7d678","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"729cf2ac149fd6670e573083683578c1cb5fda9e98ad05cd17a7b735cae7d678","first_computed_at":"2026-05-17T23:45:15.647859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:15.647859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RZnkbbOhXghm8ezu6OXXCmLKtJwrFEel50hX68oz28KfUAJM0T/E/aWV7lkqDvgCzu2bzGrJg+iqyzn+3xvdAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:15.648557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02515","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:338cee7d0c2a1441193e720f4b5cfd6f34ab02349c5f2ffdc2a1b90ff0dd3dbf","sha256:28cb863cc65c55c6b6d4762ee47faea3df713a8ba681f189fb0a50cca01a2fb2"],"state_sha256":"8fd49bc9c9a7338651e05351e6401cb2ea8d26c304589ed54f11eab7819d6eaa"}