{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LYBPBTJGX3XP3E2AGPFQYFT6WN","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":"690d16546b94f69e97ae6f66f061b6da9dcebbd7e5c33173de2b6e91e65f5519","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-08-13T03:06:39Z","title_canon_sha256":"41f9344ab069d03f8e9c36e45599e0ca96c22b2eec582e766f862b6c6b49069e"},"schema_version":"1.0","source":{"id":"1908.04470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04470","created_at":"2026-07-04T23:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04470v1","created_at":"2026-07-04T23:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04470","created_at":"2026-07-04T23:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"LYBPBTJGX3XP","created_at":"2026-07-04T23:55:13Z"},{"alias_kind":"pith_short_16","alias_value":"LYBPBTJGX3XP3E2A","created_at":"2026-07-04T23:55:13Z"},{"alias_kind":"pith_short_8","alias_value":"LYBPBTJG","created_at":"2026-07-04T23:55:13Z"}],"graph_snapshots":[{"event_id":"sha256:9eedbebb4e91041a5198cdf80d0b2e62c2b652fddfa165896e83c282a374913b","target":"graph","created_at":"2026-07-04T23:55:13Z","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/1908.04470/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies binary classification problem associated with a family of loss functions called large-margin unified machines (LUM), which offers a natural bridge between distribution-based likelihood approaches and margin-based approaches. It also can overcome the so-called data piling issue of support vector machine in the high-dimension and low-sample size setting. In this paper we establish some new comparison theorems for all LUM loss functions which play a key role in the further error analysis of large-margin learning algorithms.","authors_text":"Dao-Hong Xiang, Jun Fan","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-08-13T03:06:39Z","title":"Comparison theorems on large-margin learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04470","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":"sha256:7266bab12f7dda7022e25b8be21c1c5c3327c56042a4b52ba796cac38e005bcf","target":"record","created_at":"2026-07-04T23:55:13Z","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":"690d16546b94f69e97ae6f66f061b6da9dcebbd7e5c33173de2b6e91e65f5519","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-08-13T03:06:39Z","title_canon_sha256":"41f9344ab069d03f8e9c36e45599e0ca96c22b2eec582e766f862b6c6b49069e"},"schema_version":"1.0","source":{"id":"1908.04470","kind":"arxiv","version":1}},"canonical_sha256":"5e02f0cd26beeefd934033cb0c167eb346eba995b5a4713cb6d3b9568c511ac8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e02f0cd26beeefd934033cb0c167eb346eba995b5a4713cb6d3b9568c511ac8","first_computed_at":"2026-07-04T23:55:13.952536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:55:13.952536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JYKTjZszG24US9iXD8RVpGrrDGWgfA6TioYo9gaUT4kuBublLhJsxDaRU+ml8SkucsZV2iYcXCHuZ/Pu/z9PDA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:55:13.952901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7266bab12f7dda7022e25b8be21c1c5c3327c56042a4b52ba796cac38e005bcf","sha256:9eedbebb4e91041a5198cdf80d0b2e62c2b652fddfa165896e83c282a374913b"],"state_sha256":"1347a409238dbb04c477760abd1dc83b340aa744bce86b21bde58799dee069dc"}