{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LPW3ZRUCVAEPWQ2H5BCDJQ63IK","short_pith_number":"pith:LPW3ZRUC","canonical_record":{"source":{"id":"1803.02246","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T15:17:50Z","cross_cats_sorted":[],"title_canon_sha256":"29db7e902a0debf2bb12223860a69915534baaf37cd76aaabc12342a3dd6ea38","abstract_canon_sha256":"efc72e7ce810a4da6eb5f6fffe0fb783e1b66fb3b54b67e0b262949fdb11ceb8"},"schema_version":"1.0"},"canonical_sha256":"5bedbcc682a808fb4347e84434c3db4289c9039383aaa3c224af0684625a95ff","source":{"kind":"arxiv","id":"1803.02246","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02246","created_at":"2026-05-18T00:12:32Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02246v2","created_at":"2026-05-18T00:12:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02246","created_at":"2026-05-18T00:12:32Z"},{"alias_kind":"pith_short_12","alias_value":"LPW3ZRUCVAEP","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LPW3ZRUCVAEPWQ2H","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LPW3ZRUC","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LPW3ZRUCVAEPWQ2H5BCDJQ63IK","target":"record","payload":{"canonical_record":{"source":{"id":"1803.02246","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T15:17:50Z","cross_cats_sorted":[],"title_canon_sha256":"29db7e902a0debf2bb12223860a69915534baaf37cd76aaabc12342a3dd6ea38","abstract_canon_sha256":"efc72e7ce810a4da6eb5f6fffe0fb783e1b66fb3b54b67e0b262949fdb11ceb8"},"schema_version":"1.0"},"canonical_sha256":"5bedbcc682a808fb4347e84434c3db4289c9039383aaa3c224af0684625a95ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:32.018931Z","signature_b64":"Gh6DXgR8H+dHmv2Y9IuY0DBf+mQL4prBmI0QiTd2ee9C9yIgM5p5Y26XDcHdPMwjYwCezKwpF6Ht6P9VhdbnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bedbcc682a808fb4347e84434c3db4289c9039383aaa3c224af0684625a95ff","last_reissued_at":"2026-05-18T00:12:32.018204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:32.018204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.02246","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NmAtIzF3g5v9qKgtz0aTEu6GOayKdtV7UBiZw5YALarfsVkSsU/hkzIkU1DGZit5CMmgKJLtf/rWOn0SboYvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:32:58.612002Z"},"content_sha256":"156aa9e7047033d8ef7609858ed455086fd89842b40b18847e760adc15bad35f","schema_version":"1.0","event_id":"sha256:156aa9e7047033d8ef7609858ed455086fd89842b40b18847e760adc15bad35f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LPW3ZRUCVAEPWQ2H5BCDJQ63IK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rest-Katyusha: Exploiting the Solution's Structure via Scheduled Restart Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Francis Bach, Junqi Tang, Mike Davies, Mohammad Golbabaee","submitted_at":"2018-03-06T15:17:50Z","abstract_excerpt":"We propose a structure-adaptive variant of the state-of-the-art stochastic variance-reduced gradient algorithm Katyusha for regularized empirical risk minimization. The proposed method is able to exploit the intrinsic low-dimensional structure of the solution, such as sparsity or low rank which is enforced by a non-smooth regularization, to achieve even faster convergence rate. This provable algorithmic improvement is done by restarting the Katyusha algorithm according to restricted strong-convexity constants. We demonstrate the effectiveness of our approach via numerical experiments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02246","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckYHGmPrJ4Gh9/r0TANFp/ZyyQjWgwAmngWqMM01OEwgVEqeqnF6YCBKSnCNjzrRBd54V2ey7FxOazT9snAjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:32:58.612668Z"},"content_sha256":"a30cf16001fef7d81b2e78d0f123b0179f8025c5fa94dbb3073f20ea6a4db8a9","schema_version":"1.0","event_id":"sha256:a30cf16001fef7d81b2e78d0f123b0179f8025c5fa94dbb3073f20ea6a4db8a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK/bundle.json","state_url":"https://pith.science/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK/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":"2026-05-31T01:32:58Z","links":{"resolver":"https://pith.science/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK","bundle":"https://pith.science/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK/bundle.json","state":"https://pith.science/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LPW3ZRUCVAEPWQ2H5BCDJQ63IK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LPW3ZRUCVAEPWQ2H5BCDJQ63IK","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":"efc72e7ce810a4da6eb5f6fffe0fb783e1b66fb3b54b67e0b262949fdb11ceb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T15:17:50Z","title_canon_sha256":"29db7e902a0debf2bb12223860a69915534baaf37cd76aaabc12342a3dd6ea38"},"schema_version":"1.0","source":{"id":"1803.02246","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02246","created_at":"2026-05-18T00:12:32Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02246v2","created_at":"2026-05-18T00:12:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02246","created_at":"2026-05-18T00:12:32Z"},{"alias_kind":"pith_short_12","alias_value":"LPW3ZRUCVAEP","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LPW3ZRUCVAEPWQ2H","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LPW3ZRUC","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:a30cf16001fef7d81b2e78d0f123b0179f8025c5fa94dbb3073f20ea6a4db8a9","target":"graph","created_at":"2026-05-18T00:12:32Z","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 propose a structure-adaptive variant of the state-of-the-art stochastic variance-reduced gradient algorithm Katyusha for regularized empirical risk minimization. The proposed method is able to exploit the intrinsic low-dimensional structure of the solution, such as sparsity or low rank which is enforced by a non-smooth regularization, to achieve even faster convergence rate. This provable algorithmic improvement is done by restarting the Katyusha algorithm according to restricted strong-convexity constants. We demonstrate the effectiveness of our approach via numerical experiments.","authors_text":"Francis Bach, Junqi Tang, Mike Davies, Mohammad Golbabaee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T15:17:50Z","title":"Rest-Katyusha: Exploiting the Solution's Structure via Scheduled Restart Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02246","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":"sha256:156aa9e7047033d8ef7609858ed455086fd89842b40b18847e760adc15bad35f","target":"record","created_at":"2026-05-18T00:12:32Z","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":"efc72e7ce810a4da6eb5f6fffe0fb783e1b66fb3b54b67e0b262949fdb11ceb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T15:17:50Z","title_canon_sha256":"29db7e902a0debf2bb12223860a69915534baaf37cd76aaabc12342a3dd6ea38"},"schema_version":"1.0","source":{"id":"1803.02246","kind":"arxiv","version":2}},"canonical_sha256":"5bedbcc682a808fb4347e84434c3db4289c9039383aaa3c224af0684625a95ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bedbcc682a808fb4347e84434c3db4289c9039383aaa3c224af0684625a95ff","first_computed_at":"2026-05-18T00:12:32.018204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:32.018204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gh6DXgR8H+dHmv2Y9IuY0DBf+mQL4prBmI0QiTd2ee9C9yIgM5p5Y26XDcHdPMwjYwCezKwpF6Ht6P9VhdbnCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:32.018931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02246","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:156aa9e7047033d8ef7609858ed455086fd89842b40b18847e760adc15bad35f","sha256:a30cf16001fef7d81b2e78d0f123b0179f8025c5fa94dbb3073f20ea6a4db8a9"],"state_sha256":"17b707bbee5cf09575111381e6ae3a0498a1d82a6e3000ea2c1921622a64e456"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJqa4Zi1WM1tjV4ci4fS8CBI8g0Na5RxDFoSeGCw3KIMb7tGgeiZ6PUJ/jUTs8b5IHTA6/8D/tZsZSIfrGHEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:32:58.616027Z","bundle_sha256":"a4c8d2cf05e6cd3478d66ba0ab40547b4fad6e32592c2c3b5d7fafb0e8f2f126"}}