{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HOIHKGTZZWMCDXTOZRIN2U4E5L","short_pith_number":"pith:HOIHKGTZ","canonical_record":{"source":{"id":"1505.03410","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-13T14:50:34Z","cross_cats_sorted":["cs.LG","math.OC","stat.CO"],"title_canon_sha256":"417f0f00aad6a42866344bbd28c704996f51dc892e9c089a42a5f89b2605b2d1","abstract_canon_sha256":"98709fbdce5ad46c1d156c28121222b5dff97f3fe43fce3a0da53a33335874da"},"schema_version":"1.0"},"canonical_sha256":"3b90751a79cd9821de6ecc50dd5384ead2b060d111bffc1b79a307f6afcc1b47","source":{"kind":"arxiv","id":"1505.03410","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03410","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03410v3","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03410","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"HOIHKGTZZWMC","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HOIHKGTZZWMCDXTO","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HOIHKGTZ","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HOIHKGTZZWMCDXTOZRIN2U4E5L","target":"record","payload":{"canonical_record":{"source":{"id":"1505.03410","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-13T14:50:34Z","cross_cats_sorted":["cs.LG","math.OC","stat.CO"],"title_canon_sha256":"417f0f00aad6a42866344bbd28c704996f51dc892e9c089a42a5f89b2605b2d1","abstract_canon_sha256":"98709fbdce5ad46c1d156c28121222b5dff97f3fe43fce3a0da53a33335874da"},"schema_version":"1.0"},"canonical_sha256":"3b90751a79cd9821de6ecc50dd5384ead2b060d111bffc1b79a307f6afcc1b47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:18.129886Z","signature_b64":"K+PAgt+QqI3KZ6y9AcPOJir92DjzYmrmZSyuyMmnInjtMFVO+usGvP9ntDWUuCB+CaKrdqJkSOH2joRLCJQvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b90751a79cd9821de6ecc50dd5384ead2b060d111bffc1b79a307f6afcc1b47","last_reissued_at":"2026-05-18T01:25:18.129165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:18.129165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.03410","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:25:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PWI3UhxM6JibfeZf/WPuBVctc/+VuYL0j9y1VdY6dKU8e8nWGtCmfUamO/6WkPv43frvRLqbQnYPCTQR6y6VDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T14:43:44.979134Z"},"content_sha256":"a33037955360b96a8f76980db1e19441b5aaccc748649c9e771fdb9da27c9a78","schema_version":"1.0","event_id":"sha256:a33037955360b96a8f76980db1e19441b5aaccc748649c9e771fdb9da27c9a78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HOIHKGTZZWMCDXTOZRIN2U4E5L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mind the duality gap: safer rules for the Lasso","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.OC","stat.CO"],"primary_cat":"stat.ML","authors_text":"Alexandre Gramfort, Joseph Salmon, Olivier Fercoq","submitted_at":"2015-05-13T14:50:34Z","abstract_excerpt":"Screening rules allow to early discard irrelevant variables from the optimization in Lasso problems, or its derivatives, making solvers faster. In this paper, we propose new versions of the so-called $\\textit{safe rules}$ for the Lasso. Based on duality gap considerations, our new rules create safe test regions whose diameters converge to zero, provided that one relies on a converging solver. This property helps screening out more variables, for a wider range of regularization parameter values. In addition to faster convergence, we prove that we correctly identify the active sets (supports) of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03410","kind":"arxiv","version":3},"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":"2026-05-18T01:25:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFYDEd2q4NxsllexvxBEa+NFwEdvs0llBdizEARKfsJDdtRLrGmu4DDzNoMZKm3qOpU62zHK0EVAV/P2IAtPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T14:43:44.979500Z"},"content_sha256":"c6b5c9201c9f8d7757700675bf8a2be727d8dfa34e3fb6d445092bf8b9f62824","schema_version":"1.0","event_id":"sha256:c6b5c9201c9f8d7757700675bf8a2be727d8dfa34e3fb6d445092bf8b9f62824"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L/bundle.json","state_url":"https://pith.science/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L/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":"2026-07-02T14:43:44Z","links":{"resolver":"https://pith.science/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L","bundle":"https://pith.science/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L/bundle.json","state":"https://pith.science/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HOIHKGTZZWMCDXTOZRIN2U4E5L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HOIHKGTZZWMCDXTOZRIN2U4E5L","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":"98709fbdce5ad46c1d156c28121222b5dff97f3fe43fce3a0da53a33335874da","cross_cats_sorted":["cs.LG","math.OC","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-13T14:50:34Z","title_canon_sha256":"417f0f00aad6a42866344bbd28c704996f51dc892e9c089a42a5f89b2605b2d1"},"schema_version":"1.0","source":{"id":"1505.03410","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03410","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03410v3","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03410","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"HOIHKGTZZWMC","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HOIHKGTZZWMCDXTO","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HOIHKGTZ","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:c6b5c9201c9f8d7757700675bf8a2be727d8dfa34e3fb6d445092bf8b9f62824","target":"graph","created_at":"2026-05-18T01:25:18Z","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":"Screening rules allow to early discard irrelevant variables from the optimization in Lasso problems, or its derivatives, making solvers faster. In this paper, we propose new versions of the so-called $\\textit{safe rules}$ for the Lasso. Based on duality gap considerations, our new rules create safe test regions whose diameters converge to zero, provided that one relies on a converging solver. This property helps screening out more variables, for a wider range of regularization parameter values. In addition to faster convergence, we prove that we correctly identify the active sets (supports) of","authors_text":"Alexandre Gramfort, Joseph Salmon, Olivier Fercoq","cross_cats":["cs.LG","math.OC","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-13T14:50:34Z","title":"Mind the duality gap: safer rules for the Lasso"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03410","kind":"arxiv","version":3},"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:a33037955360b96a8f76980db1e19441b5aaccc748649c9e771fdb9da27c9a78","target":"record","created_at":"2026-05-18T01:25:18Z","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":"98709fbdce5ad46c1d156c28121222b5dff97f3fe43fce3a0da53a33335874da","cross_cats_sorted":["cs.LG","math.OC","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-13T14:50:34Z","title_canon_sha256":"417f0f00aad6a42866344bbd28c704996f51dc892e9c089a42a5f89b2605b2d1"},"schema_version":"1.0","source":{"id":"1505.03410","kind":"arxiv","version":3}},"canonical_sha256":"3b90751a79cd9821de6ecc50dd5384ead2b060d111bffc1b79a307f6afcc1b47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b90751a79cd9821de6ecc50dd5384ead2b060d111bffc1b79a307f6afcc1b47","first_computed_at":"2026-05-18T01:25:18.129165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:18.129165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+PAgt+QqI3KZ6y9AcPOJir92DjzYmrmZSyuyMmnInjtMFVO+usGvP9ntDWUuCB+CaKrdqJkSOH2joRLCJQvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:18.129886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03410","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a33037955360b96a8f76980db1e19441b5aaccc748649c9e771fdb9da27c9a78","sha256:c6b5c9201c9f8d7757700675bf8a2be727d8dfa34e3fb6d445092bf8b9f62824"],"state_sha256":"e937635b8569d466d13309f38ad3d8ba594e359e3168f6952b89e224ffde6832"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxJ3I5su7UTFy8tzQDPH4l6N+eoF3/dIyg5iPsUuG4o0y2S77OEqiPH2BjY5pKpJl/XD9Bz31Vo+2SbDLWxrCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T14:43:44.981312Z","bundle_sha256":"9e5ec0ba25531803a4d3d44e2c504580147329850d45a9de72ef26247a09c08e"}}