{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:X6K6BOHM2TCBFDFDXJOMUX3YKK","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":"76f1973869c44f34a37b3b533effa1b814198c2508d12f3ba4e3c77f6853dd5b","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-07-26T09:00:18Z","title_canon_sha256":"da5c877599bc87018b737111b9eb484cb8e4ccf0cabe12e579d403201498631c"},"schema_version":"1.0","source":{"id":"2407.18609","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.18609","created_at":"2026-07-05T11:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"2407.18609v4","created_at":"2026-07-05T11:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.18609","created_at":"2026-07-05T11:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"X6K6BOHM2TCB","created_at":"2026-07-05T11:22:31Z"},{"alias_kind":"pith_short_16","alias_value":"X6K6BOHM2TCBFDFD","created_at":"2026-07-05T11:22:31Z"},{"alias_kind":"pith_short_8","alias_value":"X6K6BOHM","created_at":"2026-07-05T11:22:31Z"}],"graph_snapshots":[{"event_id":"sha256:9a95f22770d9534c3476ac9a9649dfbb0bd442d9f1f22a09d998df540ce42e7b","target":"graph","created_at":"2026-07-05T11:22:31Z","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/2407.18609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Exploring noise distributions beyond Gaussian in diffusion models remains an open challenge. While Gaussian-based models succeed within a unified SDE framework, recent studies suggest that heavy-tailed noise distributions, like $\\alpha$-stable distributions, may better handle mode collapse and effectively manage datasets exhibiting class imbalance, heavy tails, or prominent outliers. Recently, Yoon et al.\\ (NeurIPS 2023), presented the L\\'evy-It\\^o model (LIM), directly extending the SDE-based framework to a class of heavy-tailed SDEs, where the injected noise followed an $\\alpha$-stable distr","authors_text":"Alain Durmus, Dario Shariatian, Umut Simsekli","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-07-26T09:00:18Z","title":"Heavy-Tailed Diffusion with Denoising L\\'evy Probabilistic Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.18609","kind":"arxiv","version":4},"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":"sha256:4fecb7d73d738f08c3ec8dbba2ddeb0b3daef6db097a09ccff1e1850df68d7d9","target":"record","created_at":"2026-07-05T11:22:31Z","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":"76f1973869c44f34a37b3b533effa1b814198c2508d12f3ba4e3c77f6853dd5b","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-07-26T09:00:18Z","title_canon_sha256":"da5c877599bc87018b737111b9eb484cb8e4ccf0cabe12e579d403201498631c"},"schema_version":"1.0","source":{"id":"2407.18609","kind":"arxiv","version":4}},"canonical_sha256":"bf95e0b8ecd4c4128ca3ba5cca5f78528793229cef574a06ec386e4d17fc1718","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf95e0b8ecd4c4128ca3ba5cca5f78528793229cef574a06ec386e4d17fc1718","first_computed_at":"2026-07-05T11:22:31.452500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:22:31.452500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xpudcQlxOLMS86NQjVhjmHv5zoS9XhXcwVAvhUjP9SbBWXLM19L/DgrFBy8aAG89TAWy+eXl3WmMLhBxBkTfCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:22:31.453065Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.18609","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fecb7d73d738f08c3ec8dbba2ddeb0b3daef6db097a09ccff1e1850df68d7d9","sha256:9a95f22770d9534c3476ac9a9649dfbb0bd442d9f1f22a09d998df540ce42e7b"],"state_sha256":"1b241887a80cbd388294f32f15350ec144b5ccc9f2a84624cf56f86d4989b46d"}