{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5ZDNPSCGSCCTSGLNU7XC6MXHJX","short_pith_number":"pith:5ZDNPSCG","canonical_record":{"source":{"id":"2302.02092","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-02-04T04:52:22Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"eb33c7948e4b30fdd42fee7f43d19738ff272525e7aa7b062c054603b8a28a13","abstract_canon_sha256":"ac0ee9a57bd8542aa367a7a06eff7baee4f44bc3d12634af72119401bc1c6fc6"},"schema_version":"1.0"},"canonical_sha256":"ee46d7c846908539196da7ee2f32e74dfe048fc9217cc1ce04f3d8d384f9082e","source":{"kind":"arxiv","id":"2302.02092","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.02092","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"2302.02092v3","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.02092","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"5ZDNPSCGSCCT","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"pith_short_16","alias_value":"5ZDNPSCGSCCTSGLN","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"pith_short_8","alias_value":"5ZDNPSCG","created_at":"2026-07-05T06:45:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5ZDNPSCGSCCTSGLNU7XC6MXHJX","target":"record","payload":{"canonical_record":{"source":{"id":"2302.02092","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-02-04T04:52:22Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"eb33c7948e4b30fdd42fee7f43d19738ff272525e7aa7b062c054603b8a28a13","abstract_canon_sha256":"ac0ee9a57bd8542aa367a7a06eff7baee4f44bc3d12634af72119401bc1c6fc6"},"schema_version":"1.0"},"canonical_sha256":"ee46d7c846908539196da7ee2f32e74dfe048fc9217cc1ce04f3d8d384f9082e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:45:14.437109Z","signature_b64":"DabvhBZpPbnHvmyHNRytBDjz6DD20f3OFiiaoKFa0Zkl6rX8p/wZx2x7K4LAuUTuokKWhQXShCsjY5/T1bzpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee46d7c846908539196da7ee2f32e74dfe048fc9217cc1ce04f3d8d384f9082e","last_reissued_at":"2026-07-05T06:45:14.436610Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:45:14.436610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.02092","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:45:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rceRp1BCfvoTX7YD52kzZCMHhxQQyMprN5cpk7Ii6j5V6KXo7Fg6+Xat02gp9ollcOsrCaGKzOS18PIRNufuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:00:14.359034Z"},"content_sha256":"66c2229db5da8bd2ea6191655c68abc596d3a03a1ecb1274bd9d4e591cc4bfd5","schema_version":"1.0","event_id":"sha256:66c2229db5da8bd2ea6191655c68abc596d3a03a1ecb1274bd9d4e591cc4bfd5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5ZDNPSCGSCCTSGLNU7XC6MXHJX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpolation for Robust Learning: Data Augmentation on Wasserstein Geodesics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Aritra Guha, Bo Li, Ding Zhao, Jiacheng Zhu, Jielin Qiu, XuanLong Nguyen, Zhuolin Yang","submitted_at":"2023-02-04T04:52:22Z","abstract_excerpt":"We propose to study and promote the robustness of a model as per its performance through the interpolation of training data distributions. Specifically, (1) we augment the data by finding the worst-case Wasserstein barycenter on the geodesic connecting subpopulation distributions of different categories. (2) We regularize the model for smoother performance on the continuous geodesic path connecting subpopulation distributions. (3) Additionally, we provide a theoretical guarantee of robustness improvement and investigate how the geodesic location and the sample size contribute, respectively. Ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.02092","kind":"arxiv","version":3},"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/2302.02092/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":"2026-07-05T06:45:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hp+Of9728bJ6s51fAUIOCvt6UQDuhRz+/2tUUcurxFZ7wLj5FryY+cp8E/+e+4V+roWxI74e7qH2NxAvtucRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:00:14.359416Z"},"content_sha256":"d92ca9a417813c0e64e1ce38d9322fb26b441e23caeba20210d68c86ab583c35","schema_version":"1.0","event_id":"sha256:d92ca9a417813c0e64e1ce38d9322fb26b441e23caeba20210d68c86ab583c35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX/bundle.json","state_url":"https://pith.science/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX/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":"2026-07-06T17:00:14Z","links":{"resolver":"https://pith.science/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX","bundle":"https://pith.science/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX/bundle.json","state":"https://pith.science/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ZDNPSCGSCCTSGLNU7XC6MXHJX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5ZDNPSCGSCCTSGLNU7XC6MXHJX","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":"ac0ee9a57bd8542aa367a7a06eff7baee4f44bc3d12634af72119401bc1c6fc6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-02-04T04:52:22Z","title_canon_sha256":"eb33c7948e4b30fdd42fee7f43d19738ff272525e7aa7b062c054603b8a28a13"},"schema_version":"1.0","source":{"id":"2302.02092","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.02092","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"2302.02092v3","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.02092","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"5ZDNPSCGSCCT","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"pith_short_16","alias_value":"5ZDNPSCGSCCTSGLN","created_at":"2026-07-05T06:45:14Z"},{"alias_kind":"pith_short_8","alias_value":"5ZDNPSCG","created_at":"2026-07-05T06:45:14Z"}],"graph_snapshots":[{"event_id":"sha256:d92ca9a417813c0e64e1ce38d9322fb26b441e23caeba20210d68c86ab583c35","target":"graph","created_at":"2026-07-05T06:45:14Z","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/2302.02092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose to study and promote the robustness of a model as per its performance through the interpolation of training data distributions. Specifically, (1) we augment the data by finding the worst-case Wasserstein barycenter on the geodesic connecting subpopulation distributions of different categories. (2) We regularize the model for smoother performance on the continuous geodesic path connecting subpopulation distributions. (3) Additionally, we provide a theoretical guarantee of robustness improvement and investigate how the geodesic location and the sample size contribute, respectively. Ex","authors_text":"Aritra Guha, Bo Li, Ding Zhao, Jiacheng Zhu, Jielin Qiu, XuanLong Nguyen, Zhuolin Yang","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-02-04T04:52:22Z","title":"Interpolation for Robust Learning: Data Augmentation on Wasserstein Geodesics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.02092","kind":"arxiv","version":3},"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":"sha256:66c2229db5da8bd2ea6191655c68abc596d3a03a1ecb1274bd9d4e591cc4bfd5","target":"record","created_at":"2026-07-05T06:45:14Z","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":"ac0ee9a57bd8542aa367a7a06eff7baee4f44bc3d12634af72119401bc1c6fc6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-02-04T04:52:22Z","title_canon_sha256":"eb33c7948e4b30fdd42fee7f43d19738ff272525e7aa7b062c054603b8a28a13"},"schema_version":"1.0","source":{"id":"2302.02092","kind":"arxiv","version":3}},"canonical_sha256":"ee46d7c846908539196da7ee2f32e74dfe048fc9217cc1ce04f3d8d384f9082e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee46d7c846908539196da7ee2f32e74dfe048fc9217cc1ce04f3d8d384f9082e","first_computed_at":"2026-07-05T06:45:14.436610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:45:14.436610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DabvhBZpPbnHvmyHNRytBDjz6DD20f3OFiiaoKFa0Zkl6rX8p/wZx2x7K4LAuUTuokKWhQXShCsjY5/T1bzpCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:45:14.437109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.02092","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66c2229db5da8bd2ea6191655c68abc596d3a03a1ecb1274bd9d4e591cc4bfd5","sha256:d92ca9a417813c0e64e1ce38d9322fb26b441e23caeba20210d68c86ab583c35"],"state_sha256":"efdfe2b23b18ec4b8789ed4fee0c2c1423758095f3d8c245f02eea0218293892"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HTnF4Tohym+Mo9iqhfSAY1CqRqM7uW6WzbgPysbF2yGaPyogwyfhDYyVNhwNTgqRIZb579SfxhrUZFBulx8uBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:00:14.361356Z","bundle_sha256":"8abe8b86658a920314882b2e529e4c9695fa0040546d411866615211b91f60e8"}}