{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HGOVKJ7O3CRMHJSULTJNX7CFKP","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":"e8b0e457a6fde757b1adc5a4534888db8d07667472a9764edf98a4cfa5ed2c29","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-03T19:08:54Z","title_canon_sha256":"c8373923280b0255ea1d23f492f6f8267209f74f1a7c3447292bb025a6326278"},"schema_version":"1.0","source":{"id":"1704.00767","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00767","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00767v2","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00767","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"HGOVKJ7O3CRM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HGOVKJ7O3CRMHJSU","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HGOVKJ7O","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:8d863d1ca867f24d4fa2bf759ef3d2951373d67b05e9608741289fedf18b3ddf","target":"graph","created_at":"2026-05-18T00:03:41Z","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"},"paper":{"abstract_excerpt":"The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights provide perhaps unexpected relationships between SVM and two other linear classifiers: the mean difference and the maximal data piling direction. For example, we show that in many cases SVM can be viewed as a cropped version of these classifiers. By carefully exploring these connections we show how SVM tuning behavior is affected by characteristics including: ba","authors_text":"Iain Carmichael, J.S. Marron","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-03T19:08:54Z","title":"Geometric Insights into Support Vector Machine Behavior using the KKT Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00767","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":"sha256:8e31914281b2d6db618d81e0386542d6227741fa63cedba0d5d336bc695a2fea","target":"record","created_at":"2026-05-18T00:03:41Z","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":"e8b0e457a6fde757b1adc5a4534888db8d07667472a9764edf98a4cfa5ed2c29","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-03T19:08:54Z","title_canon_sha256":"c8373923280b0255ea1d23f492f6f8267209f74f1a7c3447292bb025a6326278"},"schema_version":"1.0","source":{"id":"1704.00767","kind":"arxiv","version":2}},"canonical_sha256":"399d5527eed8a2c3a6545cd2dbfc4553f7a2097c4d3603e730179ccf80be462a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"399d5527eed8a2c3a6545cd2dbfc4553f7a2097c4d3603e730179ccf80be462a","first_computed_at":"2026-05-18T00:03:41.806891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:41.806891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Pg42c6+Z71xzMc5BDbdn23Xp0X+maP5od+4FANUev5Gs42NQLp5QFKRthJoOnVckfojVgKZFRijSb53B58zDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:41.807363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00767","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e31914281b2d6db618d81e0386542d6227741fa63cedba0d5d336bc695a2fea","sha256:8d863d1ca867f24d4fa2bf759ef3d2951373d67b05e9608741289fedf18b3ddf"],"state_sha256":"44979aa354aaad366e98e481750fe646722a00e0cb430ad74c1fbf93e9ca48f1"}