{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QM5DB5GKVJOHLI7ZNAWEUWTP3B","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":"6994c646b765b611a7aab1ff2125bdc3b61bae47970e745afc4040555f73d70f","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-12-18T18:54:45Z","title_canon_sha256":"0afac382fca4d40a98e70b32697503c7df67ceac4b074bafc7d2cb1d34f74a31"},"schema_version":"1.0","source":{"id":"1212.4457","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4457","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4457v2","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4457","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"QM5DB5GKVJOH","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QM5DB5GKVJOHLI7Z","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QM5DB5GK","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:214e0b49187cd0634dc9f86f7263c8f3a533a85c5b8bd101ace9cf1ee244b6d7","target":"graph","created_at":"2026-05-18T00:25:02Z","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 article we consider the problem of choosing an optimal sampling scheme for the regression problem simultaneously with that of model selection. We consider a batch type approach and an on-line approach following algorithms recently developed for the classification problem. Our main tools are concentration-type inequalities which allow us to bound the supremum of the deviations of the sampling scheme corrected by an appropriate weight function.","authors_text":"Ana Karina Fermin, Carenne Lude\\~na","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-12-18T18:54:45Z","title":"Probability bounds for active learning in the regression problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4457","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":"sha256:2cccaf7222d2a86b177bac8389add93bcefc05286430fad5654f5175192cf43f","target":"record","created_at":"2026-05-18T00:25:02Z","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":"6994c646b765b611a7aab1ff2125bdc3b61bae47970e745afc4040555f73d70f","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-12-18T18:54:45Z","title_canon_sha256":"0afac382fca4d40a98e70b32697503c7df67ceac4b074bafc7d2cb1d34f74a31"},"schema_version":"1.0","source":{"id":"1212.4457","kind":"arxiv","version":2}},"canonical_sha256":"833a30f4caaa5c75a3f9682c4a5a6fd87ea6e8ba7fe119d5f436af41691b3c7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"833a30f4caaa5c75a3f9682c4a5a6fd87ea6e8ba7fe119d5f436af41691b3c7c","first_computed_at":"2026-05-18T00:25:02.553560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:02.553560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"spQe2DelrgiI0FFmoyMR+zOcvoFgWBKrmrWAzqntBC8LosLbNUyS2uYqcSW05uht+PCimJLp4A4G+1PatRQrAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:02.553934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4457","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cccaf7222d2a86b177bac8389add93bcefc05286430fad5654f5175192cf43f","sha256:214e0b49187cd0634dc9f86f7263c8f3a533a85c5b8bd101ace9cf1ee244b6d7"],"state_sha256":"9a3a71a5a4e406843ba824845fcc53841eefbbc65fb8244e3048bc189e7392f3"}