{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UZ5UYZ67SK7ZJVT6543352U2GN","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":"2a9d814960dce51e84ff54f8ccf9040d51cf928afac2e087ece4574a5a156219","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-06-30T01:32:36Z","title_canon_sha256":"1440c78ae56aef45d4e9ad8b7611daf7c0f67f74f5f6a086f61c56b7ccf7475a"},"schema_version":"1.0","source":{"id":"2506.23453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.23453","created_at":"2026-07-05T11:29:21Z"},{"alias_kind":"arxiv_version","alias_value":"2506.23453v1","created_at":"2026-07-05T11:29:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.23453","created_at":"2026-07-05T11:29:21Z"},{"alias_kind":"pith_short_12","alias_value":"UZ5UYZ67SK7Z","created_at":"2026-07-05T11:29:21Z"},{"alias_kind":"pith_short_16","alias_value":"UZ5UYZ67SK7ZJVT6","created_at":"2026-07-05T11:29:21Z"},{"alias_kind":"pith_short_8","alias_value":"UZ5UYZ67","created_at":"2026-07-05T11:29:21Z"}],"graph_snapshots":[{"event_id":"sha256:e352342ce1f98e4680066871748891aecf5b407e233e994bd11e4d5d629463cb","target":"graph","created_at":"2026-07-05T11:29:21Z","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/2506.23453/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Covariate shift occurs when the distribution of input features differs between the training and testing phases. In covariate shift, estimating an unknown function's moment is a classical problem that remains under-explored, despite its common occurrence in real-world scenarios. In this paper, we investigate the minimax lower bound of the problem when the source and target distributions are known. To achieve the minimax optimal bound (up to a logarithmic factor), we propose a two-stage algorithm. Specifically, it first trains an optimal estimator for the function under the source distribution, ","authors_text":"Jiaye Teng, Shaoli Wang, Xin Liu, Zhen Zhang","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-06-30T01:32:36Z","title":"Minimax Optimal Two-Stage Algorithm For Moment Estimation Under Covariate Shift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.23453","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":"sha256:3e4915381bed4264ad17eff49b2b4f9e26d56550a2c298c28ddff80fe73b7fa2","target":"record","created_at":"2026-07-05T11:29:21Z","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":"2a9d814960dce51e84ff54f8ccf9040d51cf928afac2e087ece4574a5a156219","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-06-30T01:32:36Z","title_canon_sha256":"1440c78ae56aef45d4e9ad8b7611daf7c0f67f74f5f6a086f61c56b7ccf7475a"},"schema_version":"1.0","source":{"id":"2506.23453","kind":"arxiv","version":1}},"canonical_sha256":"a67b4c67df92bf94d67eef37beea9a3345e3c75f14c135e2e72bd9b9e228e676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a67b4c67df92bf94d67eef37beea9a3345e3c75f14c135e2e72bd9b9e228e676","first_computed_at":"2026-07-05T11:29:21.897970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:29:21.897970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qpxusZ9zMZx4f56ar17yVrMkZSFW8bH7q0fF9t1ZWdO0MMvPeETaoh/XKJf8gyQ3lTGJEQ5B5YIyVo7OmsXaBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:29:21.898444Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.23453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e4915381bed4264ad17eff49b2b4f9e26d56550a2c298c28ddff80fe73b7fa2","sha256:e352342ce1f98e4680066871748891aecf5b407e233e994bd11e4d5d629463cb"],"state_sha256":"a540f7931be529c3b7aa4d072868ed6ed0c6cb6b3f53d8bd30d7f04b857f54b5"}