{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:K3WT5LEIQYFTWXXRBZU7WVHGAE","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":"fa072622c1ebe98fec24c63cd11213f81ff3cc5b67492cf0e8f81432e965820c","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-04-27T15:26:52Z","title_canon_sha256":"3983a18f2725e3b49fd337abc08ec6e7e257db5b48ce9d4e6913e0e2dddb395f"},"schema_version":"1.0","source":{"id":"1404.6769","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6769","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6769v5","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6769","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"K3WT5LEIQYFT","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"K3WT5LEIQYFTWXXR","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"K3WT5LEI","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:e899576003d7b033172bd8bb45d7262550aa11ae9cc5d9284e670c975aed98f7","target":"graph","created_at":"2026-05-18T01:26:50Z","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":"In this work, we study the problem of aggregating a finite number of predictors for nonstationary sub-linear processes. We provide oracle inequalities relying essentially on three ingredients: (1) a uniform bound of the $\\ell^1$ norm of the time varying sub-linear coefficients, (2) a Lipschitz assumption on the predictors and (3) moment conditions on the noise appearing in the linear representation. Two kinds of aggregations are considered giving rise to different moment conditions on the noise and more or less sharp oracle inequalities. We apply this approach for deriving an adaptive predicto","authors_text":"Andres Sanchez-Perez, Christophe Giraud, Fran\\c{c}ois Roueff","cross_cats":["stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-04-27T15:26:52Z","title":"Aggregation of predictors for nonstationary sub-linear processes and online adaptive forecasting of time varying autoregressive processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6769","kind":"arxiv","version":5},"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:e19880f53504027ea55a3bfdca4d8829b1b7b057240f8e8d0e0a5d0e4599d291","target":"record","created_at":"2026-05-18T01:26:50Z","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":"fa072622c1ebe98fec24c63cd11213f81ff3cc5b67492cf0e8f81432e965820c","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-04-27T15:26:52Z","title_canon_sha256":"3983a18f2725e3b49fd337abc08ec6e7e257db5b48ce9d4e6913e0e2dddb395f"},"schema_version":"1.0","source":{"id":"1404.6769","kind":"arxiv","version":5}},"canonical_sha256":"56ed3eac88860b3b5ef10e69fb54e6011506ed8aa85cd6f765629a2a625741a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56ed3eac88860b3b5ef10e69fb54e6011506ed8aa85cd6f765629a2a625741a9","first_computed_at":"2026-05-18T01:26:50.563963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:50.563963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"09fxdezHtc2otUGLpvi6ZkttUMJcK880tyL3uk91B84uImpYJUxM9srsiJ3cUnJmWepVZ0TLLOxbF1BL9kg7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:50.564747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6769","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e19880f53504027ea55a3bfdca4d8829b1b7b057240f8e8d0e0a5d0e4599d291","sha256:e899576003d7b033172bd8bb45d7262550aa11ae9cc5d9284e670c975aed98f7"],"state_sha256":"6b1e55a27c9622704586a8e13c101ab18497a19e1d629428d6633d272eb6c065"}