{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:B24ZV5ASO74KTV2URLZUWKUNV4","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":"8c387c4fb8d68af46aaeaa4b1ec8b69971c3171e3dc9d1c5c34226d80f916239","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-09-30T15:50:57Z","title_canon_sha256":"dccd4c0a8db1dd104807090746ac8db2e80230fe86345b3abda959807ac5ddba"},"schema_version":"1.0","source":{"id":"2409.20427","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.20427","created_at":"2026-07-05T09:20:48Z"},{"alias_kind":"arxiv_version","alias_value":"2409.20427v2","created_at":"2026-07-05T09:20:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.20427","created_at":"2026-07-05T09:20:48Z"},{"alias_kind":"pith_short_12","alias_value":"B24ZV5ASO74K","created_at":"2026-07-05T09:20:48Z"},{"alias_kind":"pith_short_16","alias_value":"B24ZV5ASO74KTV2U","created_at":"2026-07-05T09:20:48Z"},{"alias_kind":"pith_short_8","alias_value":"B24ZV5AS","created_at":"2026-07-05T09:20:48Z"}],"graph_snapshots":[{"event_id":"sha256:7e7609ae3d0e33f203eb2d38b16b1bb218501b41e23008edb011819dee904bfc","target":"graph","created_at":"2026-07-05T09:20:48Z","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/2409.20427/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As complex machine learning models continue to find applications in high-stakes decision-making scenarios, it is crucial that we can explain and understand their predictions. Post-hoc explanation methods provide useful insights by identifying important features in an input $\\mathbf{x}$ with respect to the model output $f(\\mathbf{x})$. In this work, we formalize and study two precise notions of feature importance for general machine learning models: sufficiency and necessity. We demonstrate how these two types of explanations, albeit intuitive and simple, can fall short in providing a complete ","authors_text":"Beepul Bharti, Jeremias Sulam, Paul Yi","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-09-30T15:50:57Z","title":"Sufficient and Necessary Explanations (and What Lies in Between)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.20427","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":"sha256:3a411bea2b6e6ead4d279fc099b8d0de4237770cd447f4996605210cfdfc7fe8","target":"record","created_at":"2026-07-05T09:20:48Z","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":"8c387c4fb8d68af46aaeaa4b1ec8b69971c3171e3dc9d1c5c34226d80f916239","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-09-30T15:50:57Z","title_canon_sha256":"dccd4c0a8db1dd104807090746ac8db2e80230fe86345b3abda959807ac5ddba"},"schema_version":"1.0","source":{"id":"2409.20427","kind":"arxiv","version":2}},"canonical_sha256":"0eb99af41277f8a9d7548af34b2a8daf31ee344f619f0086e82072d887d60c14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eb99af41277f8a9d7548af34b2a8daf31ee344f619f0086e82072d887d60c14","first_computed_at":"2026-07-05T09:20:48.468639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:20:48.468639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hW7BnVxytj8kaOUX9pqngBgJYNaS8plO6jvIsPaJTmpXzpTs3pKMtPE9676QmjfIs+c0Fjz2IQOl9HuQ4pwJAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:20:48.469051Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.20427","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a411bea2b6e6ead4d279fc099b8d0de4237770cd447f4996605210cfdfc7fe8","sha256:7e7609ae3d0e33f203eb2d38b16b1bb218501b41e23008edb011819dee904bfc"],"state_sha256":"1b78dbce56ca256a774a6b1d4410239a657524db1d281e7cdbcb1dc8545ba301"}