{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:QZGZXZBD2I37AVODAZIQ4EJJUK","short_pith_number":"pith:QZGZXZBD","canonical_record":{"source":{"id":"2002.04195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-11T04:12:31Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"8c30a0ab199714f87b153c2b7746dacfb88a1bce8ad420c33662477c6c814a26","abstract_canon_sha256":"0c3e2ade777f2994333041ac7210c4fb066f50db03d732e57c8eced83d64fe3a"},"schema_version":"1.0"},"canonical_sha256":"864d9be423d237f055c306510e1129a2bef6c81b1b0f1ef0a107177485cdd0ab","source":{"kind":"arxiv","id":"2002.04195","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.04195","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"arxiv_version","alias_value":"2002.04195v1","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.04195","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"pith_short_12","alias_value":"QZGZXZBD2I37","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"pith_short_16","alias_value":"QZGZXZBD2I37AVOD","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"pith_short_8","alias_value":"QZGZXZBD","created_at":"2026-07-05T00:39:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:QZGZXZBD2I37AVODAZIQ4EJJUK","target":"record","payload":{"canonical_record":{"source":{"id":"2002.04195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-11T04:12:31Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"8c30a0ab199714f87b153c2b7746dacfb88a1bce8ad420c33662477c6c814a26","abstract_canon_sha256":"0c3e2ade777f2994333041ac7210c4fb066f50db03d732e57c8eced83d64fe3a"},"schema_version":"1.0"},"canonical_sha256":"864d9be423d237f055c306510e1129a2bef6c81b1b0f1ef0a107177485cdd0ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:39:43.053649Z","signature_b64":"w9wDYTyVnL70ARjCxXiZhKkYSYZI/LoZfG7XNNYphbIhkGg1Ae6jAk2iq4TcPv0CZtvlgVxy35V1AtS2TcBBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"864d9be423d237f055c306510e1129a2bef6c81b1b0f1ef0a107177485cdd0ab","last_reissued_at":"2026-07-05T00:39:43.053174Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:39:43.053174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.04195","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":"2026-07-05T00:39:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RVNRgld6WI+YutwgrpWeca8S0U8gvVQkex/uso0YhZUJgJnMK+E3OI9C7rikkeB08FTYTtK27RUf13hA3gjjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T10:38:12.082277Z"},"content_sha256":"99e9da9932a73ae4c4270bff4121b2f0849401e0b18240020fdc5bb2410ffdcb","schema_version":"1.0","event_id":"sha256:99e9da9932a73ae4c4270bff4121b2f0849401e0b18240020fdc5bb2410ffdcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:QZGZXZBD2I37AVODAZIQ4EJJUK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalization Guarantees for Sparse Kernel Approximation with Entropic Optimal Features","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Liang Ding, Rui Tuo, Shahin Shahrampour","submitted_at":"2020-02-11T04:12:31Z","abstract_excerpt":"Despite their success, kernel methods suffer from a massive computational cost in practice. In this paper, in lieu of commonly used kernel expansion with respect to $N$ inputs, we develop a novel optimal design maximizing the entropy among kernel features. This procedure results in a kernel expansion with respect to entropic optimal features (EOF), improving the data representation dramatically due to features dissimilarity. Under mild technical assumptions, our generalization bound shows that with only $O(N^{\\frac{1}{4}})$ features (disregarding logarithmic factors), we can achieve the optima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.04195","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.04195/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":"2026-07-05T00:39:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ik6A9GHb/20Et7+uWS4pTzAuGUUcJnH6FzpMFHLiG7bqw9E/YDibVz6aCoiavpAP5yvi/qiGLWLPxWH1rKQyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T10:38:12.083102Z"},"content_sha256":"4a562e0e014561011cee2bb858b972837c307cf476a07c26c80805fc3185d2cd","schema_version":"1.0","event_id":"sha256:4a562e0e014561011cee2bb858b972837c307cf476a07c26c80805fc3185d2cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZGZXZBD2I37AVODAZIQ4EJJUK/bundle.json","state_url":"https://pith.science/pith/QZGZXZBD2I37AVODAZIQ4EJJUK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZGZXZBD2I37AVODAZIQ4EJJUK/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":"2026-07-05T10:38:12Z","links":{"resolver":"https://pith.science/pith/QZGZXZBD2I37AVODAZIQ4EJJUK","bundle":"https://pith.science/pith/QZGZXZBD2I37AVODAZIQ4EJJUK/bundle.json","state":"https://pith.science/pith/QZGZXZBD2I37AVODAZIQ4EJJUK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZGZXZBD2I37AVODAZIQ4EJJUK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QZGZXZBD2I37AVODAZIQ4EJJUK","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":"0c3e2ade777f2994333041ac7210c4fb066f50db03d732e57c8eced83d64fe3a","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-11T04:12:31Z","title_canon_sha256":"8c30a0ab199714f87b153c2b7746dacfb88a1bce8ad420c33662477c6c814a26"},"schema_version":"1.0","source":{"id":"2002.04195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.04195","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"arxiv_version","alias_value":"2002.04195v1","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.04195","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"pith_short_12","alias_value":"QZGZXZBD2I37","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"pith_short_16","alias_value":"QZGZXZBD2I37AVOD","created_at":"2026-07-05T00:39:43Z"},{"alias_kind":"pith_short_8","alias_value":"QZGZXZBD","created_at":"2026-07-05T00:39:43Z"}],"graph_snapshots":[{"event_id":"sha256:4a562e0e014561011cee2bb858b972837c307cf476a07c26c80805fc3185d2cd","target":"graph","created_at":"2026-07-05T00:39:43Z","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/2002.04195/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Despite their success, kernel methods suffer from a massive computational cost in practice. In this paper, in lieu of commonly used kernel expansion with respect to $N$ inputs, we develop a novel optimal design maximizing the entropy among kernel features. This procedure results in a kernel expansion with respect to entropic optimal features (EOF), improving the data representation dramatically due to features dissimilarity. Under mild technical assumptions, our generalization bound shows that with only $O(N^{\\frac{1}{4}})$ features (disregarding logarithmic factors), we can achieve the optima","authors_text":"Liang Ding, Rui Tuo, Shahin Shahrampour","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-11T04:12:31Z","title":"Generalization Guarantees for Sparse Kernel Approximation with Entropic Optimal Features"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.04195","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":"sha256:99e9da9932a73ae4c4270bff4121b2f0849401e0b18240020fdc5bb2410ffdcb","target":"record","created_at":"2026-07-05T00:39:43Z","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":"0c3e2ade777f2994333041ac7210c4fb066f50db03d732e57c8eced83d64fe3a","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-02-11T04:12:31Z","title_canon_sha256":"8c30a0ab199714f87b153c2b7746dacfb88a1bce8ad420c33662477c6c814a26"},"schema_version":"1.0","source":{"id":"2002.04195","kind":"arxiv","version":1}},"canonical_sha256":"864d9be423d237f055c306510e1129a2bef6c81b1b0f1ef0a107177485cdd0ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"864d9be423d237f055c306510e1129a2bef6c81b1b0f1ef0a107177485cdd0ab","first_computed_at":"2026-07-05T00:39:43.053174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:39:43.053174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w9wDYTyVnL70ARjCxXiZhKkYSYZI/LoZfG7XNNYphbIhkGg1Ae6jAk2iq4TcPv0CZtvlgVxy35V1AtS2TcBBCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:39:43.053649Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.04195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99e9da9932a73ae4c4270bff4121b2f0849401e0b18240020fdc5bb2410ffdcb","sha256:4a562e0e014561011cee2bb858b972837c307cf476a07c26c80805fc3185d2cd"],"state_sha256":"f44278db62925d8c96475182cea7bd60ec42b26adf16b96abcbf10888741254c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"poMgtQTbtKb6LCRclYOfnmEmmRksrHTHlyXzXk4psgJEKsB2KOHWp83ybzQVJa9W2hyxtosXlRySA4Z8VqbbBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T10:38:12.087121Z","bundle_sha256":"a458695a9b92b7154bf6d5e340fd316a4df9b882cb3e33cd635106ef953c10e1"}}