{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MRYX4R4TW3IZNFVUQOWRI5FVPI","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":"1fa4068ffae4887cda8a8c3706c1e7c1e62c12b0aab0ba007f4e41c20dd55a1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-02-18T03:45:08Z","title_canon_sha256":"094f42e1898d91718b0b737081e3d500e9afb75da09956164e4e2dbce6f5d6af"},"schema_version":"1.0","source":{"id":"1902.06391","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06391","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06391v2","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06391","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"MRYX4R4TW3IZ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MRYX4R4TW3IZNFVU","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MRYX4R4T","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:5237952eee0a88bec6796de958bb3b05360b7cb9c28165a4d9193e30c5fc9fcb","target":"graph","created_at":"2026-05-17T23:41:00Z","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":"The iteratively reweighted least squares method (IRLS) is a popular technique used in practice for solving regression problems. Various versions of this method have been proposed, but their theoretical analyses failed to capture the good practical performance.\n  In this paper we propose a simple and natural version of IRLS for solving $\\ell_\\infty$ and $\\ell_1$ regression, which provably converges to a $(1+\\epsilon)$-approximate solution in $O(m^{1/3}\\log(1/\\epsilon)/\\epsilon^{2/3} + \\log m/\\epsilon^2)$ iterations, where $m$ is the number of rows of the input matrix. Interestingly, this runnin","authors_text":"Adrian Vladu, Alina Ene","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-02-18T03:45:08Z","title":"Improved Convergence for $\\ell_\\infty$ and $\\ell_1$ Regression via Iteratively Reweighted Least Squares"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06391","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:feb5b2a7fa3e4f8ea4c65c45f5d146db81c18242ac9965cd55187170dd891743","target":"record","created_at":"2026-05-17T23:41:00Z","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":"1fa4068ffae4887cda8a8c3706c1e7c1e62c12b0aab0ba007f4e41c20dd55a1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-02-18T03:45:08Z","title_canon_sha256":"094f42e1898d91718b0b737081e3d500e9afb75da09956164e4e2dbce6f5d6af"},"schema_version":"1.0","source":{"id":"1902.06391","kind":"arxiv","version":2}},"canonical_sha256":"64717e4793b6d19696b483ad1474b57a1c6ab0964a210452d8d7c7cf54bdc57c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64717e4793b6d19696b483ad1474b57a1c6ab0964a210452d8d7c7cf54bdc57c","first_computed_at":"2026-05-17T23:41:00.842678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:00.842678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w+y61h5WDgf62e8rCnj0reZMVJbt8pdlTJ7yZxXTLqm2WoeQQ5Jalm5/sYSH/O1YzoPaufAIAYMd5J7lL03rDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:00.843239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.06391","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feb5b2a7fa3e4f8ea4c65c45f5d146db81c18242ac9965cd55187170dd891743","sha256:5237952eee0a88bec6796de958bb3b05360b7cb9c28165a4d9193e30c5fc9fcb"],"state_sha256":"fe65cf2842a78a72071546304800b642932f6b8a6ad88eaaa448c0eee6e47bf7"}