{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VONDUX4OMYOH5EUBHOWCCRKDZU","short_pith_number":"pith:VONDUX4O","canonical_record":{"source":{"id":"1506.03942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-06-12T09:03:50Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"a16d231f116686ded7dd2cc8a69de0e8b88392089a70549190ed41d7511e6468","abstract_canon_sha256":"7de6ac41b68a6eda7f8d73240070600254375f3db44c91cee7067a5b3b90bbce"},"schema_version":"1.0"},"canonical_sha256":"ab9a3a5f8e661c7e92813bac214543cd3571da1dba747a945df5645043f02bdc","source":{"kind":"arxiv","id":"1506.03942","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.03942","created_at":"2026-05-18T01:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"1506.03942v1","created_at":"2026-05-18T01:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.03942","created_at":"2026-05-18T01:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"VONDUX4OMYOH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VONDUX4OMYOH5EUB","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VONDUX4O","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VONDUX4OMYOH5EUBHOWCCRKDZU","target":"record","payload":{"canonical_record":{"source":{"id":"1506.03942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-06-12T09:03:50Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"a16d231f116686ded7dd2cc8a69de0e8b88392089a70549190ed41d7511e6468","abstract_canon_sha256":"7de6ac41b68a6eda7f8d73240070600254375f3db44c91cee7067a5b3b90bbce"},"schema_version":"1.0"},"canonical_sha256":"ab9a3a5f8e661c7e92813bac214543cd3571da1dba747a945df5645043f02bdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:18.774309Z","signature_b64":"d80iqJao3cyVbU9IrjNjvBi1Rv/hOwRzCGfdbzGORRqmdhoXB2zJF2oylkkT577+gkDGBSeL/USEXvj8v7frBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab9a3a5f8e661c7e92813bac214543cd3571da1dba747a945df5645043f02bdc","last_reissued_at":"2026-05-18T01:51:18.773632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:18.773632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.03942","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:51:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zlVRweljBifotKW/85M3QpbWTxGY4jTybKOG/VzkCb1PjDhGVYIa756zrj3QcTR4pPfLP5NejgFGcki9cLruDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:29:55.567381Z"},"content_sha256":"1181e4511cd10530de16087bcd4543de2f29945a8893f2c5edc463cabe0c6050","schema_version":"1.0","event_id":"sha256:1181e4511cd10530de16087bcd4543de2f29945a8893f2c5edc463cabe0c6050"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VONDUX4OMYOH5EUBHOWCCRKDZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal $\\gamma$ and $C$ for $\\epsilon$-Support Vector Regression with RBF Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Longfei Lu","submitted_at":"2015-06-12T09:03:50Z","abstract_excerpt":"The objective of this study is to investigate the efficient determination of $C$ and $\\gamma$ for Support Vector Regression with RBF or mahalanobis kernel based on numerical and statistician considerations, which indicates the connection between $C$ and kernels and demonstrates that the deviation of geometric distance of neighbour observation in mapped space effects the predict accuracy of $\\epsilon$-SVR. We determinate the arrange of $\\gamma$ & $C$ and propose our method to choose their best values."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.03942","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:51:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o9NmbFdFEFw2CYTgQ7OGquOOWHp/4B+UNvNcm0a9+l+52bIV5nwjS4cUdOURKqB1UGeAxFSpXJjW0TVhLNugCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:29:55.567774Z"},"content_sha256":"bd63a9f5a07f4aed06ee7c5272c6bd6e84d9c5ea1663e8bbfb3e505b27ca9356","schema_version":"1.0","event_id":"sha256:bd63a9f5a07f4aed06ee7c5272c6bd6e84d9c5ea1663e8bbfb3e505b27ca9356"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VONDUX4OMYOH5EUBHOWCCRKDZU/bundle.json","state_url":"https://pith.science/pith/VONDUX4OMYOH5EUBHOWCCRKDZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VONDUX4OMYOH5EUBHOWCCRKDZU/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":"2026-05-31T07:29:55Z","links":{"resolver":"https://pith.science/pith/VONDUX4OMYOH5EUBHOWCCRKDZU","bundle":"https://pith.science/pith/VONDUX4OMYOH5EUBHOWCCRKDZU/bundle.json","state":"https://pith.science/pith/VONDUX4OMYOH5EUBHOWCCRKDZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VONDUX4OMYOH5EUBHOWCCRKDZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VONDUX4OMYOH5EUBHOWCCRKDZU","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":"7de6ac41b68a6eda7f8d73240070600254375f3db44c91cee7067a5b3b90bbce","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-06-12T09:03:50Z","title_canon_sha256":"a16d231f116686ded7dd2cc8a69de0e8b88392089a70549190ed41d7511e6468"},"schema_version":"1.0","source":{"id":"1506.03942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.03942","created_at":"2026-05-18T01:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"1506.03942v1","created_at":"2026-05-18T01:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.03942","created_at":"2026-05-18T01:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"VONDUX4OMYOH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VONDUX4OMYOH5EUB","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VONDUX4O","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:bd63a9f5a07f4aed06ee7c5272c6bd6e84d9c5ea1663e8bbfb3e505b27ca9356","target":"graph","created_at":"2026-05-18T01:51:18Z","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 objective of this study is to investigate the efficient determination of $C$ and $\\gamma$ for Support Vector Regression with RBF or mahalanobis kernel based on numerical and statistician considerations, which indicates the connection between $C$ and kernels and demonstrates that the deviation of geometric distance of neighbour observation in mapped space effects the predict accuracy of $\\epsilon$-SVR. We determinate the arrange of $\\gamma$ & $C$ and propose our method to choose their best values.","authors_text":"Longfei Lu","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-06-12T09:03:50Z","title":"Optimal $\\gamma$ and $C$ for $\\epsilon$-Support Vector Regression with RBF Kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.03942","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":"sha256:1181e4511cd10530de16087bcd4543de2f29945a8893f2c5edc463cabe0c6050","target":"record","created_at":"2026-05-18T01:51:18Z","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":"7de6ac41b68a6eda7f8d73240070600254375f3db44c91cee7067a5b3b90bbce","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-06-12T09:03:50Z","title_canon_sha256":"a16d231f116686ded7dd2cc8a69de0e8b88392089a70549190ed41d7511e6468"},"schema_version":"1.0","source":{"id":"1506.03942","kind":"arxiv","version":1}},"canonical_sha256":"ab9a3a5f8e661c7e92813bac214543cd3571da1dba747a945df5645043f02bdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab9a3a5f8e661c7e92813bac214543cd3571da1dba747a945df5645043f02bdc","first_computed_at":"2026-05-18T01:51:18.773632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:18.773632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d80iqJao3cyVbU9IrjNjvBi1Rv/hOwRzCGfdbzGORRqmdhoXB2zJF2oylkkT577+gkDGBSeL/USEXvj8v7frBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:18.774309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.03942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1181e4511cd10530de16087bcd4543de2f29945a8893f2c5edc463cabe0c6050","sha256:bd63a9f5a07f4aed06ee7c5272c6bd6e84d9c5ea1663e8bbfb3e505b27ca9356"],"state_sha256":"7cab49ad8b905b2e134ecbebc6dc934f975d3f74307a989c9d88cb0a8ef0f424"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F4/W7Y21Dk3bV30rtIO2zkrRDhP7dIBVHRI8T4iBVaarud0d1t3iwIho5p1Wy3RBSDIp9kTVF4VlHYar6y6ZAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:29:55.570748Z","bundle_sha256":"ae4f9d388ef1f079ef72859e22b8c82710443470c5aab732f89463630b0c8a54"}}