{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:ZPA2TNBDOM5DIUA7CWX3Z3JCF7","short_pith_number":"pith:ZPA2TNBD","schema_version":"1.0","canonical_sha256":"cbc1a9b423733a34501f15afbced222fc2825eda8ae07b60d3f830120e9415fe","source":{"kind":"arxiv","id":"2412.12473","version":1},"attestation_state":"computed","paper":{"title":"A Method for Enhancing Generalization of Adam by Multiple Integrations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Han Nong, Liangming Chen, Long Jin, Zhenming Su","submitted_at":"2024-12-17T02:15:38Z","abstract_excerpt":"The insufficient generalization of adaptive moment estimation (Adam) has hindered its broader application. Recent studies have shown that flat minima in loss landscapes are highly associated with improved generalization. Inspired by the filtering effect of integration operations on high-frequency signals, we propose multiple integral Adam (MIAdam), a novel optimizer that integrates a multiple integral term into Adam. This multiple integral term effectively filters out sharp minima encountered during optimization, guiding the optimizer towards flatter regions and thereby enhancing generalizatio"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2412.12473","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-17T02:15:38Z","cross_cats_sorted":[],"title_canon_sha256":"4416472dc09ca09d7408006ebc9d6fd097fd4815eb1f4d64ebd77b13386b4849","abstract_canon_sha256":"ddf3ba1bc65def98e25c30bc748c06570a507af0ae8b706eea4b4cabaf421d0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:50:15.432968Z","signature_b64":"LT63g5PS9o2GDapNIC9XIdKOoKOEAlN3NUH6Ad3zDUUrqY5nt2OGiDLFzrKJqm04Z8M6AFBmkb1DKCsBI14JDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbc1a9b423733a34501f15afbced222fc2825eda8ae07b60d3f830120e9415fe","last_reissued_at":"2026-07-05T09:50:15.432519Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:50:15.432519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Method for Enhancing Generalization of Adam by Multiple Integrations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Han Nong, Liangming Chen, Long Jin, Zhenming Su","submitted_at":"2024-12-17T02:15:38Z","abstract_excerpt":"The insufficient generalization of adaptive moment estimation (Adam) has hindered its broader application. Recent studies have shown that flat minima in loss landscapes are highly associated with improved generalization. Inspired by the filtering effect of integration operations on high-frequency signals, we propose multiple integral Adam (MIAdam), a novel optimizer that integrates a multiple integral term into Adam. This multiple integral term effectively filters out sharp minima encountered during optimization, guiding the optimizer towards flatter regions and thereby enhancing generalizatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.12473","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.12473/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.12473","created_at":"2026-07-05T09:50:15.432577+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.12473v1","created_at":"2026-07-05T09:50:15.432577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.12473","created_at":"2026-07-05T09:50:15.432577+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZPA2TNBDOM5D","created_at":"2026-07-05T09:50:15.432577+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZPA2TNBDOM5DIUA7","created_at":"2026-07-05T09:50:15.432577+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZPA2TNBD","created_at":"2026-07-05T09:50:15.432577+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7","json":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7.json","graph_json":"https://pith.science/api/pith-number/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/graph.json","events_json":"https://pith.science/api/pith-number/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/events.json","paper":"https://pith.science/paper/ZPA2TNBD"},"agent_actions":{"view_html":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7","download_json":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7.json","view_paper":"https://pith.science/paper/ZPA2TNBD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.12473&json=true","fetch_graph":"https://pith.science/api/pith-number/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/graph.json","fetch_events":"https://pith.science/api/pith-number/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/action/storage_attestation","attest_author":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/action/author_attestation","sign_citation":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/action/citation_signature","submit_replication":"https://pith.science/pith/ZPA2TNBDOM5DIUA7CWX3Z3JCF7/action/replication_record"}},"created_at":"2026-07-05T09:50:15.432577+00:00","updated_at":"2026-07-05T09:50:15.432577+00:00"}