{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DNRSHEZQCP4EHNFCLAFQWZHYUX","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":"8e57972d0834d9981eb6df3a18c55a58cfb809714588a78473d70051e1613a19","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-07T15:07:41Z","title_canon_sha256":"fd0bb0e71ee117d47018366a27878b541c0cfb2f6a84a3c007e5e047ddd164d5"},"schema_version":"1.0","source":{"id":"2607.06642","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06642","created_at":"2026-07-09T00:19:21Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06642v1","created_at":"2026-07-09T00:19:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06642","created_at":"2026-07-09T00:19:21Z"},{"alias_kind":"pith_short_12","alias_value":"DNRSHEZQCP4E","created_at":"2026-07-09T00:19:21Z"},{"alias_kind":"pith_short_16","alias_value":"DNRSHEZQCP4EHNFC","created_at":"2026-07-09T00:19:21Z"},{"alias_kind":"pith_short_8","alias_value":"DNRSHEZQ","created_at":"2026-07-09T00:19:21Z"}],"graph_snapshots":[{"event_id":"sha256:96e2e94c95c00e58fb3fa498e5ae4460dd591a4aa568a364e1dad4abfa3871ec","target":"graph","created_at":"2026-07-09T00:19:21Z","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/2607.06642/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Active learning studies the fundamental question: what data should we choose to observe? The greedy algorithm in optimal experiment design is a common heuristic and also equivalent to myopic Bayesian active learning for linear regression, the common framework where long-term planning is replaced with the one-step optimal choice. In this work, we prove a first-of-its-kind approximation ratio for the greedy algorithm's risk that is tight up to an absolute constant. The approximation ratio is linear in the maximum initial leverage score (MILS), a newly identified quantity fundamental to the greed","authors_text":"Stephen Mussmann","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-07T15:07:41Z","title":"The Approximation Ratio for the Risk of Myopic Bayesian Active Learning for Linear Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06642","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":"sha256:537eedf0c420345f16890e947bb50acc134f6db4137d628158102f9babf5e86f","target":"record","created_at":"2026-07-09T00:19:21Z","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":"8e57972d0834d9981eb6df3a18c55a58cfb809714588a78473d70051e1613a19","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-07T15:07:41Z","title_canon_sha256":"fd0bb0e71ee117d47018366a27878b541c0cfb2f6a84a3c007e5e047ddd164d5"},"schema_version":"1.0","source":{"id":"2607.06642","kind":"arxiv","version":1}},"canonical_sha256":"1b6323933013f843b4a2580b0b64f8a5f54f2eba6f37087f95aee012c160f8ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b6323933013f843b4a2580b0b64f8a5f54f2eba6f37087f95aee012c160f8ff","first_computed_at":"2026-07-09T00:19:21.483375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-09T00:19:21.483375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cg1fL9JhQk1lUIZ07qqV26/Dh4kx8KQBqOzb+8fLdulFTCapTxtH4xxBgFsDXXRX+eGGDCOlCGAaGu+r1ky8CQ==","signature_status":"signed_v1","signed_at":"2026-07-09T00:19:21.483870Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.06642","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:537eedf0c420345f16890e947bb50acc134f6db4137d628158102f9babf5e86f","sha256:96e2e94c95c00e58fb3fa498e5ae4460dd591a4aa568a364e1dad4abfa3871ec"],"state_sha256":"84cb9705fa5afb41e6f50b644f5831ca811f49ce101c225f5f9f043ce80a6d0d"}