{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:O7IAO2LRAL3VC376AN7TXTLBLR","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":"29262771bbc93276722fe0352743aa621a063663c2cc974a0b37031a8583bdf7","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-29T15:17:53Z","title_canon_sha256":"417131fbe7f89f5b60fe49e0a773218357855e2fa472fc4bf0ebfb9edbd1f108"},"schema_version":"1.0","source":{"id":"2405.19175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.19175","created_at":"2026-07-05T08:24:48Z"},{"alias_kind":"arxiv_version","alias_value":"2405.19175v1","created_at":"2026-07-05T08:24:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.19175","created_at":"2026-07-05T08:24:48Z"},{"alias_kind":"pith_short_12","alias_value":"O7IAO2LRAL3V","created_at":"2026-07-05T08:24:48Z"},{"alias_kind":"pith_short_16","alias_value":"O7IAO2LRAL3VC376","created_at":"2026-07-05T08:24:48Z"},{"alias_kind":"pith_short_8","alias_value":"O7IAO2LR","created_at":"2026-07-05T08:24:48Z"}],"graph_snapshots":[{"event_id":"sha256:352b58ea406dd1e044e5ce451b14ce09ae43cbe28eb6f099fd60710f993f2d25","target":"graph","created_at":"2026-07-05T08:24:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.19175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop algorithms for online linear regression which achieve optimal static and dynamic regret guarantees \\emph{even in the complete absence of prior knowledge}. We present a novel analysis showing that a discounted variant of the Vovk-Azoury-Warmuth forecaster achieves dynamic regret of the form $R_{T}(\\vec{u})\\le O\\left(d\\log(T)\\vee \\sqrt{dP_{T}^{\\gamma}(\\vec{u})T}\\right)$, where $P_{T}^{\\gamma}(\\vec{u})$ is a measure of variability of the comparator sequence, and show that the discount factor achieving this result can be learned on-the-fly. We show that this result is optimal by providi","authors_text":"Andrew Jacobsen, Ashok Cutkosky","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-29T15:17:53Z","title":"Online Linear Regression in Dynamic Environments via Discounting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.19175","kind":"arxiv","version":1},"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:d87d62facda0301d17d7e99b6da96e52858adecf2bdd8d6c0a65bf134ef1d063","target":"record","created_at":"2026-07-05T08:24:48Z","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":"29262771bbc93276722fe0352743aa621a063663c2cc974a0b37031a8583bdf7","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-29T15:17:53Z","title_canon_sha256":"417131fbe7f89f5b60fe49e0a773218357855e2fa472fc4bf0ebfb9edbd1f108"},"schema_version":"1.0","source":{"id":"2405.19175","kind":"arxiv","version":1}},"canonical_sha256":"77d007697102f7516ffe037f3bcd615c54b22ba21498200ee83c2e34eb96c8fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77d007697102f7516ffe037f3bcd615c54b22ba21498200ee83c2e34eb96c8fd","first_computed_at":"2026-07-05T08:24:48.967433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:24:48.967433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wAnnjcWs3/CFxhCJ0GVWVImdhXXaehHljnOgp4G6u2g9NMTL4q5z63NAiVihJ7gUfLNEgje82wUAQN5zsPs4BA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:24:48.967837Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.19175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d87d62facda0301d17d7e99b6da96e52858adecf2bdd8d6c0a65bf134ef1d063","sha256:352b58ea406dd1e044e5ce451b14ce09ae43cbe28eb6f099fd60710f993f2d25"],"state_sha256":"c67bda7f928bcd6953c61068b1aa015d031ee4c8ec87ab4c049ac00bc6fadfae"}