{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PC7M2GN2EEWM245KMPXLLGCCLX","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":"77a4ae31b3f72e14d047316c9924f8548b688821673a3fbb168f011841ecc8f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-03-21T08:29:05Z","title_canon_sha256":"396e40dc90983164b5130d51e280e57812cb1595d52b77dd3282734edb22099c"},"schema_version":"1.0","source":{"id":"1603.06352","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06352","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06352v2","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06352","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"pith_short_12","alias_value":"PC7M2GN2EEWM","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PC7M2GN2EEWM245K","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PC7M2GN2","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:2cd08bc5076922294f154a7ac2600e84e4dec0fa482444b755b2710cfce9d6b0","target":"graph","created_at":"2026-05-18T01:14:12Z","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 consider the problem of prediction with expert advice when the losses of the experts have low-dimensional structure: they are restricted to an unknown $d$-dimensional subspace. We devise algorithms with regret bounds that are independent of the number of experts and depend only on the rank $d$. For the stochastic model we show a tight bound of $\\Theta(\\sqrt{dT})$, and extend it to a setting of an approximate $d$ subspace. For the adversarial model we show an upper bound of $O(d\\sqrt{T})$ and a lower bound of $\\Omega(\\sqrt{dT})$.","authors_text":"Elad Hazan, Roi Livni, Tomer Koren, Yishay Mansour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-03-21T08:29:05Z","title":"Online Learning with Low Rank Experts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06352","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":"sha256:36e6135a8f20d7fe2bf96198d9e0ae1b67eb471ac9debff37cb6ad215b140301","target":"record","created_at":"2026-05-18T01:14:12Z","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":"77a4ae31b3f72e14d047316c9924f8548b688821673a3fbb168f011841ecc8f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-03-21T08:29:05Z","title_canon_sha256":"396e40dc90983164b5130d51e280e57812cb1595d52b77dd3282734edb22099c"},"schema_version":"1.0","source":{"id":"1603.06352","kind":"arxiv","version":2}},"canonical_sha256":"78becd19ba212ccd73aa63eeb598425dead60feb3ef9035f2458aeb2acf99504","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78becd19ba212ccd73aa63eeb598425dead60feb3ef9035f2458aeb2acf99504","first_computed_at":"2026-05-18T01:14:12.507215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:12.507215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yNEOedvO+xxt5eu/QRtI4QhBBJa1K7MDcu6jtT9WVb3bMj+luWPvgU6MzqC9v6Akc0/eEJ/DT/MwqTyMvzU0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:12.507899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06352","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36e6135a8f20d7fe2bf96198d9e0ae1b67eb471ac9debff37cb6ad215b140301","sha256:2cd08bc5076922294f154a7ac2600e84e4dec0fa482444b755b2710cfce9d6b0"],"state_sha256":"4676a9d023ed3782ce4f83d637e8d6cdc94816c1e268d28fedcef507ffb8202a"}