{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OVMRJQOC4OHOEVAEJUSGSTAVDU","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":"5294c86cc1f16da2c46bd86eb10007651ff6f70785b7ef42afca3f12b5d3494e","cross_cats_sorted":["math.OC","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-08-26T22:28:53Z","title_canon_sha256":"5f5bc5d435b6d26db26ad4e2fe5ff5c0a48ecd93d053d6d87c4758d6945856f5"},"schema_version":"1.0","source":{"id":"1908.09941","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09941","created_at":"2026-07-05T01:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09941v2","created_at":"2026-07-05T01:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09941","created_at":"2026-07-05T01:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"OVMRJQOC4OHO","created_at":"2026-07-05T01:18:15Z"},{"alias_kind":"pith_short_16","alias_value":"OVMRJQOC4OHOEVAE","created_at":"2026-07-05T01:18:15Z"},{"alias_kind":"pith_short_8","alias_value":"OVMRJQOC","created_at":"2026-07-05T01:18:15Z"}],"graph_snapshots":[{"event_id":"sha256:5c66482ed95a3eb9c907c37972dce318ff693a27b72c76a137ad951940a3e12d","target":"graph","created_at":"2026-07-05T01:18:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.09941/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study a family of non-convex and possibly non-smooth inf-projection minimization problems, where the target objective function is equal to minimization of a joint function over another variable. This problem include difference of convex (DC) functions and a family of bi-convex functions as special cases. We develop stochastic algorithms and establish their first-order convergence for finding a (nearly) stationary solution of the target non-convex function under different conditions of the component functions. To the best of our knowledge, this is the first work that comprehen","authors_text":"Lijun Zhang, Tianbao Yang, Xiaoyu Wang, Yan Yan, Yi Xu","cross_cats":["math.OC","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-08-26T22:28:53Z","title":"Stochastic Optimization for Non-convex Inf-Projection Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09941","kind":"arxiv","version":2},"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":"sha256:3162299e7ba9e15bffc5aec8eb0985d950b7422cfb6a45db793a0b807a0d0bcf","target":"record","created_at":"2026-07-05T01:18:15Z","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":"5294c86cc1f16da2c46bd86eb10007651ff6f70785b7ef42afca3f12b5d3494e","cross_cats_sorted":["math.OC","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-08-26T22:28:53Z","title_canon_sha256":"5f5bc5d435b6d26db26ad4e2fe5ff5c0a48ecd93d053d6d87c4758d6945856f5"},"schema_version":"1.0","source":{"id":"1908.09941","kind":"arxiv","version":2}},"canonical_sha256":"755914c1c2e38ee254044d24694c151d211ae90bf28a5f6f1ad44aa0863e0dfb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"755914c1c2e38ee254044d24694c151d211ae90bf28a5f6f1ad44aa0863e0dfb","first_computed_at":"2026-07-05T01:18:15.739848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:18:15.739848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"slWR379HewoLKuWFZLVN0vu2eheOzho0Rz+wwpRz3kf+/rlWg2kkFUTx07n6SReEH5LgmFgxZMi4nxu1QP52BA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:18:15.740253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.09941","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3162299e7ba9e15bffc5aec8eb0985d950b7422cfb6a45db793a0b807a0d0bcf","sha256:5c66482ed95a3eb9c907c37972dce318ff693a27b72c76a137ad951940a3e12d"],"state_sha256":"3dbe850fb332dae50f59465a682e52c82d1715dd22fec124a8aa19d3c1ca244f"}