{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BWZ7FVP4YRCUNTVMW3HCYCLVGR","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":"8e747f484bb5aee499ad8046b2fb0f2872a19c20c7a8ea81b05b4bfc25ba6861","cross_cats_sorted":["cs.CV","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-30T00:15:50Z","title_canon_sha256":"d6802951a92b552821ee985349da0b92b6e3ca9c78ceb531830578f292ce98a5"},"schema_version":"1.0","source":{"id":"1708.09066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09066","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09066v1","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09066","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"BWZ7FVP4YRCU","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BWZ7FVP4YRCUNTVM","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BWZ7FVP4","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:97d038133626a41713c374d7ad827f910b195c4ec1aca3f1ac55fa40bdc85b39","target":"graph","created_at":"2026-05-17T23:55:34Z","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":"We introduce a generalization of the linearized Alternating Direction Method of Multipliers to optimize a real-valued function $f$ of multiple arguments with potentially multiple constraints $g_\\circ$ on each of them. The function $f$ may be nonconvex as long as it is convex in every argument, while the constraints $g_\\circ$ need to be convex but not smooth. If $f$ is smooth, the proposed Block-Simultaneous Direction Method of Multipliers (bSDMM) can be interpreted as a proximal analog to inexact coordinate descent methods under constraints. Unlike alternative approaches for joint solvers of m","authors_text":"Fred Moolekamp, Peter Melchior","cross_cats":["cs.CV","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-30T00:15:50Z","title":"Block-Simultaneous Direction Method of Multipliers: A proximal primal-dual splitting algorithm for nonconvex problems with multiple constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09066","kind":"arxiv","version":1},"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":"sha256:05f7b25c4f87e7116c275a3409bb67c7af04587791785e9711e3d2d56db67c0a","target":"record","created_at":"2026-05-17T23:55:34Z","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":"8e747f484bb5aee499ad8046b2fb0f2872a19c20c7a8ea81b05b4bfc25ba6861","cross_cats_sorted":["cs.CV","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-30T00:15:50Z","title_canon_sha256":"d6802951a92b552821ee985349da0b92b6e3ca9c78ceb531830578f292ce98a5"},"schema_version":"1.0","source":{"id":"1708.09066","kind":"arxiv","version":1}},"canonical_sha256":"0db3f2d5fcc44546ceacb6ce2c097534447525f7349fc549aa4765f0253977f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0db3f2d5fcc44546ceacb6ce2c097534447525f7349fc549aa4765f0253977f5","first_computed_at":"2026-05-17T23:55:34.690348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:34.690348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QoNgeYHoDSMbViAxhoKCsTA0mFMFpoJX+otOSx7maKt97nWlZy6uTjYz9LfpXBoUFhzmuJ3VF3l8jmcSSfrFBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:34.690789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.09066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05f7b25c4f87e7116c275a3409bb67c7af04587791785e9711e3d2d56db67c0a","sha256:97d038133626a41713c374d7ad827f910b195c4ec1aca3f1ac55fa40bdc85b39"],"state_sha256":"68ae6591441876d99c1e1fdf4653c56eb99a338c2eb9c07abcd2f5428e16ecdf"}