{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VHF4JZ2HNNE76PLL3D7YKYEGBO","short_pith_number":"pith:VHF4JZ2H","canonical_record":{"source":{"id":"2503.08038","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-11T04:43:33Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"e0778f6ac9df740f09aa56ea9f0bf8dfcc5a6ec4bee842e6e3c9b370a3617413","abstract_canon_sha256":"f6e2f59dbc8557533b68dc4adc875d41c57241828664760f085415a983e05ab4"},"schema_version":"1.0"},"canonical_sha256":"a9cbc4e7476b49ff3d6bd8ff8560860b8af8cb27fed134ad96192d1edef13a44","source":{"kind":"arxiv","id":"2503.08038","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.08038","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"2503.08038v2","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.08038","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"VHF4JZ2HNNE7","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"pith_short_16","alias_value":"VHF4JZ2HNNE76PLL","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"pith_short_8","alias_value":"VHF4JZ2H","created_at":"2026-06-19T16:11:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VHF4JZ2HNNE76PLL3D7YKYEGBO","target":"record","payload":{"canonical_record":{"source":{"id":"2503.08038","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-11T04:43:33Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"e0778f6ac9df740f09aa56ea9f0bf8dfcc5a6ec4bee842e6e3c9b370a3617413","abstract_canon_sha256":"f6e2f59dbc8557533b68dc4adc875d41c57241828664760f085415a983e05ab4"},"schema_version":"1.0"},"canonical_sha256":"a9cbc4e7476b49ff3d6bd8ff8560860b8af8cb27fed134ad96192d1edef13a44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:11:10.305192Z","signature_b64":"oOy7dccVJcO1nD6toWGe/IX/XaSAwNEa0pgxQunQD/xCv7PjzEH/vgyK8mtSiyLxpGeeYj6o60UJxkUzvU8ECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9cbc4e7476b49ff3d6bd8ff8560860b8af8cb27fed134ad96192d1edef13a44","last_reissued_at":"2026-06-19T16:11:10.304687Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:11:10.304687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.08038","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9TfaiJi+EPAyCBCBOIQr5C0TGtDPXKiTkK9nz6RMplAjwfLxuAROpaeFel3o8nUaQaQA5dRBrdrCM7uEKSVpAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:36:46.487761Z"},"content_sha256":"df41f2ec490bdbdca8f4f266b18f918a98e21bc5abac40f501479a94cb6fdec4","schema_version":"1.0","event_id":"sha256:df41f2ec490bdbdca8f4f266b18f918a98e21bc5abac40f501479a94cb6fdec4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VHF4JZ2HNNE76PLL3D7YKYEGBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Kullback-Leibler Divergence Loss","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.AI","cs.CV"],"primary_cat":"cs.LG","authors_text":"Beier Zhu, Bei Yu, Hanwang Zhang, Jiequan Cui, Qingshan Xu, Richang Hong, Xiaojuan Qi, Zhuotao Tian","submitted_at":"2025-03-11T04:43:33Z","abstract_excerpt":"In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of (1) a weighted Mean Square Error (wMSE) loss and (2) a Cross-Entropy loss incorporating soft labels. Thanks to the decoupled structure of DKL loss, we have identified two areas for improvement. Firstly, we address the limitation of KL loss in scenarios like knowledge distillation by breaking its asymmetric optimization property along with a smoother weight function. This modification effectively all"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.08038","kind":"arxiv","version":2},"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/2503.08038/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9/4HcGT4NvjlfcO7GEjyVM+7qSb7dTQ2I0qiR+BDHYtFVYF/CNHmfQsmbN49UOvfquvfLbpQKO/nknVy0cABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:36:46.488126Z"},"content_sha256":"a5c7f6fd8a0f06fe8366e904299d4004093883c0894468dc948532c2ba11c0c3","schema_version":"1.0","event_id":"sha256:a5c7f6fd8a0f06fe8366e904299d4004093883c0894468dc948532c2ba11c0c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO/bundle.json","state_url":"https://pith.science/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T15:36:46Z","links":{"resolver":"https://pith.science/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO","bundle":"https://pith.science/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO/bundle.json","state":"https://pith.science/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHF4JZ2HNNE76PLL3D7YKYEGBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VHF4JZ2HNNE76PLL3D7YKYEGBO","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":"f6e2f59dbc8557533b68dc4adc875d41c57241828664760f085415a983e05ab4","cross_cats_sorted":["cs.AI","cs.CV"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-11T04:43:33Z","title_canon_sha256":"e0778f6ac9df740f09aa56ea9f0bf8dfcc5a6ec4bee842e6e3c9b370a3617413"},"schema_version":"1.0","source":{"id":"2503.08038","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.08038","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"2503.08038v2","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.08038","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"VHF4JZ2HNNE7","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"pith_short_16","alias_value":"VHF4JZ2HNNE76PLL","created_at":"2026-06-19T16:11:10Z"},{"alias_kind":"pith_short_8","alias_value":"VHF4JZ2H","created_at":"2026-06-19T16:11:10Z"}],"graph_snapshots":[{"event_id":"sha256:a5c7f6fd8a0f06fe8366e904299d4004093883c0894468dc948532c2ba11c0c3","target":"graph","created_at":"2026-06-19T16:11:10Z","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/2503.08038/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of (1) a weighted Mean Square Error (wMSE) loss and (2) a Cross-Entropy loss incorporating soft labels. Thanks to the decoupled structure of DKL loss, we have identified two areas for improvement. Firstly, we address the limitation of KL loss in scenarios like knowledge distillation by breaking its asymmetric optimization property along with a smoother weight function. This modification effectively all","authors_text":"Beier Zhu, Bei Yu, Hanwang Zhang, Jiequan Cui, Qingshan Xu, Richang Hong, Xiaojuan Qi, Zhuotao Tian","cross_cats":["cs.AI","cs.CV"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-11T04:43:33Z","title":"Generalized Kullback-Leibler Divergence Loss"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.08038","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:df41f2ec490bdbdca8f4f266b18f918a98e21bc5abac40f501479a94cb6fdec4","target":"record","created_at":"2026-06-19T16:11:10Z","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":"f6e2f59dbc8557533b68dc4adc875d41c57241828664760f085415a983e05ab4","cross_cats_sorted":["cs.AI","cs.CV"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-11T04:43:33Z","title_canon_sha256":"e0778f6ac9df740f09aa56ea9f0bf8dfcc5a6ec4bee842e6e3c9b370a3617413"},"schema_version":"1.0","source":{"id":"2503.08038","kind":"arxiv","version":2}},"canonical_sha256":"a9cbc4e7476b49ff3d6bd8ff8560860b8af8cb27fed134ad96192d1edef13a44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9cbc4e7476b49ff3d6bd8ff8560860b8af8cb27fed134ad96192d1edef13a44","first_computed_at":"2026-06-19T16:11:10.304687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:10.304687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oOy7dccVJcO1nD6toWGe/IX/XaSAwNEa0pgxQunQD/xCv7PjzEH/vgyK8mtSiyLxpGeeYj6o60UJxkUzvU8ECQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:10.305192Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.08038","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df41f2ec490bdbdca8f4f266b18f918a98e21bc5abac40f501479a94cb6fdec4","sha256:a5c7f6fd8a0f06fe8366e904299d4004093883c0894468dc948532c2ba11c0c3"],"state_sha256":"6cdb0735651d4ecd4926542c1c2427cf4625eb90c1e3682841d876c8bde72533"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WVE8vQNbhX0soBljAtnwI803/sx/HNHeRPnSFUXgolsZGUOnd77X3qegjbPBHpvcdWXu8nu9uxVk6RiMlvMdBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T15:36:46.490015Z","bundle_sha256":"23602dcc0744883a91ae3097bff27d7aeab63fcd6bf6171ad58ff529ea996d79"}}