{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GPYANTEQNPJBQVQBTX4RLKL3E4","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":"17feef82ace05845c4b4eb4417647a8621f66be9e16bb9c46605d5c7df56b811","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-22T19:45:48Z","title_canon_sha256":"b3880ba2c6bfa094e6df028b4cd1fd4cdf5877c8fcd5136cd3eae61f3ecb0fb0"},"schema_version":"1.0","source":{"id":"2411.15328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.15328","created_at":"2026-07-05T09:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"2411.15328v1","created_at":"2026-07-05T09:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15328","created_at":"2026-07-05T09:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"GPYANTEQNPJB","created_at":"2026-07-05T09:39:33Z"},{"alias_kind":"pith_short_16","alias_value":"GPYANTEQNPJBQVQB","created_at":"2026-07-05T09:39:33Z"},{"alias_kind":"pith_short_8","alias_value":"GPYANTEQ","created_at":"2026-07-05T09:39:33Z"}],"graph_snapshots":[{"event_id":"sha256:3d721f4373087d300708eaef1218f02463cdfe2cf89c822409975f8804eb0232","target":"graph","created_at":"2026-07-05T09:39:33Z","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/2411.15328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of learning feature representations from a pair of random variables, where we focus on the representations that are induced by their dependence. We provide sufficient and necessary conditions for such dependence induced representations, and illustrate their connections to Hirschfeld--Gebelein--R\\'{e}nyi (HGR) maximal correlation functions and minimal sufficient statistics. We characterize a large family of loss functions that can learn dependence induced representations, including cross entropy, hinge loss, and their regularized variants. In particular, we show that the fe","authors_text":"Lizhong Zheng, Xiangxiang Xu","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-22T19:45:48Z","title":"Dependence Induced Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15328","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:a73486ac0b55e93c5f43980bc60c7c98e05c347ada337f970968b4dbcf661278","target":"record","created_at":"2026-07-05T09:39:33Z","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":"17feef82ace05845c4b4eb4417647a8621f66be9e16bb9c46605d5c7df56b811","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-22T19:45:48Z","title_canon_sha256":"b3880ba2c6bfa094e6df028b4cd1fd4cdf5877c8fcd5136cd3eae61f3ecb0fb0"},"schema_version":"1.0","source":{"id":"2411.15328","kind":"arxiv","version":1}},"canonical_sha256":"33f006cc906bd21856019df915a97b270a890e5814247800b5f90ce55df82363","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33f006cc906bd21856019df915a97b270a890e5814247800b5f90ce55df82363","first_computed_at":"2026-07-05T09:39:33.292531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:39:33.292531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/XzHihMRKXrDtcqNI9/WvvM3UKhi1j6R/ddjKiMiICjITGQETcDSg4IFrJej9AsMP21qYCZ5B068pvQEsrSNDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:39:33.293038Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.15328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a73486ac0b55e93c5f43980bc60c7c98e05c347ada337f970968b4dbcf661278","sha256:3d721f4373087d300708eaef1218f02463cdfe2cf89c822409975f8804eb0232"],"state_sha256":"539052783021b32fe16e939f7056d17fb9ea5f5a6e96b0285027c14538daf1aa"}