{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JD3N7PKY5AN63YY2LTGKWPEGXH","short_pith_number":"pith:JD3N7PKY","canonical_record":{"source":{"id":"1711.04343","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-12T19:36:15Z","cross_cats_sorted":[],"title_canon_sha256":"7bb4b423116e22bb0a123fd6aa18d04563e105621c45294adc1f65dadb6a0fc5","abstract_canon_sha256":"c52cc55d7348b6480c2f3c6debcbdd4207874b8e48b88e39ee175f8c1da1f952"},"schema_version":"1.0"},"canonical_sha256":"48f6dfbd58e81bede31a5cccab3c86b9f193cbf5f5e2f85ebd632841738fcee7","source":{"kind":"arxiv","id":"1711.04343","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04343","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04343v4","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04343","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"JD3N7PKY5AN6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JD3N7PKY5AN63YY2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JD3N7PKY","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JD3N7PKY5AN63YY2LTGKWPEGXH","target":"record","payload":{"canonical_record":{"source":{"id":"1711.04343","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-12T19:36:15Z","cross_cats_sorted":[],"title_canon_sha256":"7bb4b423116e22bb0a123fd6aa18d04563e105621c45294adc1f65dadb6a0fc5","abstract_canon_sha256":"c52cc55d7348b6480c2f3c6debcbdd4207874b8e48b88e39ee175f8c1da1f952"},"schema_version":"1.0"},"canonical_sha256":"48f6dfbd58e81bede31a5cccab3c86b9f193cbf5f5e2f85ebd632841738fcee7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:56.483151Z","signature_b64":"jqNGgte/mAKHXfhlvEdfDhQaTSgCAq9Ec9IEGTDYREMFt5Bo94zP2ZtJLmFJXYaCoNvoBh+EonCs1TvlhaueCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48f6dfbd58e81bede31a5cccab3c86b9f193cbf5f5e2f85ebd632841738fcee7","last_reissued_at":"2026-05-17T23:41:56.482256Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:56.482256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.04343","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gf1AblJ7DmFV0ZWlfru8OJkmmxPwLl4ccxmW3/+o5PmOXXLPPai/kyCoc4VTU7MBKPKd/N3yTI/XiruiG3h6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:04:51.877488Z"},"content_sha256":"3bc8c3c5a2ae29dae4d6d1c6447c44eb2080eac920646b7a69a4b88d59c75072","schema_version":"1.0","event_id":"sha256:3bc8c3c5a2ae29dae4d6d1c6447c44eb2080eac920646b7a69a4b88d59c75072"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JD3N7PKY5AN63YY2LTGKWPEGXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive FISTA for Non-convex Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Peter Ochs, Thomas Pock","submitted_at":"2017-11-12T19:36:15Z","abstract_excerpt":"In this paper we propose an adaptively extrapolated proximal gradient method, which is based on the accelerated proximal gradient method (also known as FISTA), however we locally optimize the extrapolation parameter by carrying out an exact (or inexact) line search. It turns out that in some situations, the proposed algorithm is equivalent to a class of SR1 (identity minus rank 1) proximal quasi-Newton methods. Convergence is proved in a general non-convex setting, and hence, as a byproduct, we also obtain new convergence guarantees for proximal quasi-Newton methods. The efficiency of the new "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04343","kind":"arxiv","version":4},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bpSqu+r2cJ7ifzb2ZVDA5kJQP0KeRaJ9VhBqGUOf4UCVX4H4eOXWGAmDlcJcSpM0tCUmzgq08Q0hlhytA0CqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:04:51.878119Z"},"content_sha256":"d4bf899b2ecca0e0ecfc27a6a541057a461e4a538624fe2fcc3353ef70569ec8","schema_version":"1.0","event_id":"sha256:d4bf899b2ecca0e0ecfc27a6a541057a461e4a538624fe2fcc3353ef70569ec8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JD3N7PKY5AN63YY2LTGKWPEGXH/bundle.json","state_url":"https://pith.science/pith/JD3N7PKY5AN63YY2LTGKWPEGXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JD3N7PKY5AN63YY2LTGKWPEGXH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T01:04:51Z","links":{"resolver":"https://pith.science/pith/JD3N7PKY5AN63YY2LTGKWPEGXH","bundle":"https://pith.science/pith/JD3N7PKY5AN63YY2LTGKWPEGXH/bundle.json","state":"https://pith.science/pith/JD3N7PKY5AN63YY2LTGKWPEGXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JD3N7PKY5AN63YY2LTGKWPEGXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JD3N7PKY5AN63YY2LTGKWPEGXH","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":"c52cc55d7348b6480c2f3c6debcbdd4207874b8e48b88e39ee175f8c1da1f952","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-12T19:36:15Z","title_canon_sha256":"7bb4b423116e22bb0a123fd6aa18d04563e105621c45294adc1f65dadb6a0fc5"},"schema_version":"1.0","source":{"id":"1711.04343","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04343","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04343v4","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04343","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"JD3N7PKY5AN6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JD3N7PKY5AN63YY2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JD3N7PKY","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:d4bf899b2ecca0e0ecfc27a6a541057a461e4a538624fe2fcc3353ef70569ec8","target":"graph","created_at":"2026-05-17T23:41:56Z","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":"In this paper we propose an adaptively extrapolated proximal gradient method, which is based on the accelerated proximal gradient method (also known as FISTA), however we locally optimize the extrapolation parameter by carrying out an exact (or inexact) line search. It turns out that in some situations, the proposed algorithm is equivalent to a class of SR1 (identity minus rank 1) proximal quasi-Newton methods. Convergence is proved in a general non-convex setting, and hence, as a byproduct, we also obtain new convergence guarantees for proximal quasi-Newton methods. The efficiency of the new ","authors_text":"Peter Ochs, Thomas Pock","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-12T19:36:15Z","title":"Adaptive FISTA for Non-convex Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04343","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":"sha256:3bc8c3c5a2ae29dae4d6d1c6447c44eb2080eac920646b7a69a4b88d59c75072","target":"record","created_at":"2026-05-17T23:41:56Z","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":"c52cc55d7348b6480c2f3c6debcbdd4207874b8e48b88e39ee175f8c1da1f952","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-12T19:36:15Z","title_canon_sha256":"7bb4b423116e22bb0a123fd6aa18d04563e105621c45294adc1f65dadb6a0fc5"},"schema_version":"1.0","source":{"id":"1711.04343","kind":"arxiv","version":4}},"canonical_sha256":"48f6dfbd58e81bede31a5cccab3c86b9f193cbf5f5e2f85ebd632841738fcee7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48f6dfbd58e81bede31a5cccab3c86b9f193cbf5f5e2f85ebd632841738fcee7","first_computed_at":"2026-05-17T23:41:56.482256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:56.482256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jqNGgte/mAKHXfhlvEdfDhQaTSgCAq9Ec9IEGTDYREMFt5Bo94zP2ZtJLmFJXYaCoNvoBh+EonCs1TvlhaueCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:56.483151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04343","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bc8c3c5a2ae29dae4d6d1c6447c44eb2080eac920646b7a69a4b88d59c75072","sha256:d4bf899b2ecca0e0ecfc27a6a541057a461e4a538624fe2fcc3353ef70569ec8"],"state_sha256":"d74da3d801fe9ff2e65001d5d2ff28f912b302a68c56d1836f97c1662220c7ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yTEGc6nPi0f7MEjfnfuOVkdnlfp5Zr/wVtw53548svhgJPTmTvRTFATnjNdzVA2qoP+M4fV2vCfrgsvpMzqYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T01:04:51.881488Z","bundle_sha256":"763466d5705513e8880dadd8c2af12a7a2fce9ad10bc60dde8cdceea44510a06"}}