{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2SS5MC7BQL3PX5XOA65KZIOPOO","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":"8a7a202347b367672bf496d3d71f34aef26f78f6bca7e49e2cd2f5528cc90953","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-11-01T21:24:37Z","title_canon_sha256":"b9c9b2eae87856dab17af2fa5ae7395233e679c84d74caf92638615f38d44099"},"schema_version":"1.0","source":{"id":"2311.00858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.00858","created_at":"2026-07-05T07:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"2311.00858v1","created_at":"2026-07-05T07:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.00858","created_at":"2026-07-05T07:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"2SS5MC7BQL3P","created_at":"2026-07-05T07:08:16Z"},{"alias_kind":"pith_short_16","alias_value":"2SS5MC7BQL3PX5XO","created_at":"2026-07-05T07:08:16Z"},{"alias_kind":"pith_short_8","alias_value":"2SS5MC7B","created_at":"2026-07-05T07:08:16Z"}],"graph_snapshots":[{"event_id":"sha256:567b9fba52b4cc054b14e0aab11ffb13c285b1335ee2c03d57aab10ce5dc12a8","target":"graph","created_at":"2026-07-05T07:08:16Z","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/2311.00858/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Several recent methods for interpretability model feature interactions by looking at the Hessian of a neural network. This poses a challenge for ReLU networks, which are piecewise-linear and thus have a zero Hessian almost everywhere. We propose SmoothHess, a method of estimating second-order interactions through Stein's Lemma. In particular, we estimate the Hessian of the network convolved with a Gaussian through an efficient sampling algorithm, requiring only network gradient calls. SmoothHess is applied post-hoc, requires no modifications to the ReLU network architecture, and the extent of ","authors_text":"Aria Masoomi, Davin Hill, Jennifer Dy, Kivanc Kose, Max Torop, Stratis Ioannidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-11-01T21:24:37Z","title":"SmoothHess: ReLU Network Feature Interactions via Stein's Lemma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.00858","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:c8b1559d52041bc50d0913dd88159f26f925796956affd92648210b4a9083268","target":"record","created_at":"2026-07-05T07:08:16Z","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":"8a7a202347b367672bf496d3d71f34aef26f78f6bca7e49e2cd2f5528cc90953","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-11-01T21:24:37Z","title_canon_sha256":"b9c9b2eae87856dab17af2fa5ae7395233e679c84d74caf92638615f38d44099"},"schema_version":"1.0","source":{"id":"2311.00858","kind":"arxiv","version":1}},"canonical_sha256":"d4a5d60be182f6fbf6ee07baaca1cf73aa14c33be5bb0c0ccd5f1051274c9ccb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4a5d60be182f6fbf6ee07baaca1cf73aa14c33be5bb0c0ccd5f1051274c9ccb","first_computed_at":"2026-07-05T07:08:16.640411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:08:16.640411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"usyWQf/qAcL5la4ZNOJC/PgIg/co3OOiCATJL3JWVOyUSP8b+7icKI3+699t+qPeR0IG5+QtD9f0E3j0Y+86AA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:08:16.640869Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.00858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8b1559d52041bc50d0913dd88159f26f925796956affd92648210b4a9083268","sha256:567b9fba52b4cc054b14e0aab11ffb13c285b1335ee2c03d57aab10ce5dc12a8"],"state_sha256":"af69b3f66aeec9289048ce28b8c495ee6802c4cd23e7204535b1ec3df57adbbe"}