{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CI2NQ6G46TYXUO7ZWK7XEM6WVF","short_pith_number":"pith:CI2NQ6G4","schema_version":"1.0","canonical_sha256":"1234d878dcf4f17a3bf9b2bf7233d6a97ac03627050d84d1af22af6548514d7b","source":{"kind":"arxiv","id":"1710.05778","version":2},"attestation_state":"computed","paper":{"title":"A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"math.OC","authors_text":"Akiko Takeda, Tianxiang Liu, Ting Kei Pong","submitted_at":"2017-10-16T15:18:28Z","abstract_excerpt":"We consider a class of nonconvex nonsmooth optimization problems whose objective is the sum of a smooth function and a finite number of nonnegative proper closed possibly nonsmooth functions (whose proximal mappings are easy to compute), some of which are further composed with linear maps. This kind of problems arises naturally in various applications when different regularizers are introduced for inducing simultaneous structures in the solutions. Solving these problems, however, can be challenging because of the coupled nonsmooth functions: the corresponding proximal mapping can be hard to co"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.05778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-10-16T15:18:28Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"f3725500c239fb48d44281073e452fde609fd33c7b0c7f7ce2f04c57a5416885","abstract_canon_sha256":"e6a700255e12e88d7c72905fd802320aaa7a7fedaa792c43f04b1d6ec3d091d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:54.411931Z","signature_b64":"np44JTIGX6nI1hW6UUPbtaU23N5Zwj6isErgHly0Ps8q4SKKJLVkwDmUoz8YfuhDQZZwhaZDkebm6kWVBVSaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1234d878dcf4f17a3bf9b2bf7233d6a97ac03627050d84d1af22af6548514d7b","last_reissued_at":"2026-05-18T00:14:54.411241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:54.411241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"math.OC","authors_text":"Akiko Takeda, Tianxiang Liu, Ting Kei Pong","submitted_at":"2017-10-16T15:18:28Z","abstract_excerpt":"We consider a class of nonconvex nonsmooth optimization problems whose objective is the sum of a smooth function and a finite number of nonnegative proper closed possibly nonsmooth functions (whose proximal mappings are easy to compute), some of which are further composed with linear maps. This kind of problems arises naturally in various applications when different regularizers are introduced for inducing simultaneous structures in the solutions. Solving these problems, however, can be challenging because of the coupled nonsmooth functions: the corresponding proximal mapping can be hard to co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05778","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.05778","created_at":"2026-05-18T00:14:54.411346+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.05778v2","created_at":"2026-05-18T00:14:54.411346+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05778","created_at":"2026-05-18T00:14:54.411346+00:00"},{"alias_kind":"pith_short_12","alias_value":"CI2NQ6G46TYX","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CI2NQ6G46TYXUO7Z","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CI2NQ6G4","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF","json":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF.json","graph_json":"https://pith.science/api/pith-number/CI2NQ6G46TYXUO7ZWK7XEM6WVF/graph.json","events_json":"https://pith.science/api/pith-number/CI2NQ6G46TYXUO7ZWK7XEM6WVF/events.json","paper":"https://pith.science/paper/CI2NQ6G4"},"agent_actions":{"view_html":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF","download_json":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF.json","view_paper":"https://pith.science/paper/CI2NQ6G4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.05778&json=true","fetch_graph":"https://pith.science/api/pith-number/CI2NQ6G46TYXUO7ZWK7XEM6WVF/graph.json","fetch_events":"https://pith.science/api/pith-number/CI2NQ6G46TYXUO7ZWK7XEM6WVF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF/action/storage_attestation","attest_author":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF/action/author_attestation","sign_citation":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF/action/citation_signature","submit_replication":"https://pith.science/pith/CI2NQ6G46TYXUO7ZWK7XEM6WVF/action/replication_record"}},"created_at":"2026-05-18T00:14:54.411346+00:00","updated_at":"2026-05-18T00:14:54.411346+00:00"}