{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QPNY47TMUE5A4OIRTOJP5EUOYT","short_pith_number":"pith:QPNY47TM","schema_version":"1.0","canonical_sha256":"83db8e7e6ca13a0e39119b92fe928ec4eb63ea9c0234d542033766c2070ac947","source":{"kind":"arxiv","id":"2402.01297","version":3},"attestation_state":"computed","paper":{"title":"Characterizing Overfitting in Kernel Ridgeless Regression Through the Eigenspectrum","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Anastasis Kratsios, Aurelien Lucchi, David Belius, Tin Sum Cheng","submitted_at":"2024-02-02T10:36:53Z","abstract_excerpt":"We derive new bounds for the condition number of kernel matrices, which we then use to enhance existing non-asymptotic test error bounds for kernel ridgeless regression (KRR) in the over-parameterized regime for a fixed input dimension. For kernels with polynomial spectral decay, we recover the bound from previous work; for exponential decay, our bound is non-trivial and novel. Our contribution is two-fold: (i) we rigorously prove the phenomena of tempered overfitting and catastrophic overfitting under the sub-Gaussian design assumption, closing an existing gap in the literature; (ii) we ident"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2402.01297","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-02T10:36:53Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"1cf271b24f7b677347f942e3307bc10995bf98c562eb806daf49b1d933b78418","abstract_canon_sha256":"f067fe962a447bcb8e6f7cfafb369dcbaeee86a03330bfa4c0c3f94922ef2bcc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:24:59.871010Z","signature_b64":"w8tNR8iecrd73Shdzao4TybZnPBaSnJ4hJvtxFS4c8LNVOYhOHfRSge2HrdS2u0Nm3ZSZHbruaekYB4vwPNHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83db8e7e6ca13a0e39119b92fe928ec4eb63ea9c0234d542033766c2070ac947","last_reissued_at":"2026-07-05T08:24:59.870563Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:24:59.870563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing Overfitting in Kernel Ridgeless Regression Through the Eigenspectrum","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Anastasis Kratsios, Aurelien Lucchi, David Belius, Tin Sum Cheng","submitted_at":"2024-02-02T10:36:53Z","abstract_excerpt":"We derive new bounds for the condition number of kernel matrices, which we then use to enhance existing non-asymptotic test error bounds for kernel ridgeless regression (KRR) in the over-parameterized regime for a fixed input dimension. For kernels with polynomial spectral decay, we recover the bound from previous work; for exponential decay, our bound is non-trivial and novel. Our contribution is two-fold: (i) we rigorously prove the phenomena of tempered overfitting and catastrophic overfitting under the sub-Gaussian design assumption, closing an existing gap in the literature; (ii) we ident"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01297","kind":"arxiv","version":3},"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/2402.01297/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2402.01297","created_at":"2026-07-05T08:24:59.870627+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.01297v3","created_at":"2026-07-05T08:24:59.870627+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01297","created_at":"2026-07-05T08:24:59.870627+00:00"},{"alias_kind":"pith_short_12","alias_value":"QPNY47TMUE5A","created_at":"2026-07-05T08:24:59.870627+00:00"},{"alias_kind":"pith_short_16","alias_value":"QPNY47TMUE5A4OIR","created_at":"2026-07-05T08:24:59.870627+00:00"},{"alias_kind":"pith_short_8","alias_value":"QPNY47TM","created_at":"2026-07-05T08:24:59.870627+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT","json":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT.json","graph_json":"https://pith.science/api/pith-number/QPNY47TMUE5A4OIRTOJP5EUOYT/graph.json","events_json":"https://pith.science/api/pith-number/QPNY47TMUE5A4OIRTOJP5EUOYT/events.json","paper":"https://pith.science/paper/QPNY47TM"},"agent_actions":{"view_html":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT","download_json":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT.json","view_paper":"https://pith.science/paper/QPNY47TM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.01297&json=true","fetch_graph":"https://pith.science/api/pith-number/QPNY47TMUE5A4OIRTOJP5EUOYT/graph.json","fetch_events":"https://pith.science/api/pith-number/QPNY47TMUE5A4OIRTOJP5EUOYT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT/action/storage_attestation","attest_author":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT/action/author_attestation","sign_citation":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT/action/citation_signature","submit_replication":"https://pith.science/pith/QPNY47TMUE5A4OIRTOJP5EUOYT/action/replication_record"}},"created_at":"2026-07-05T08:24:59.870627+00:00","updated_at":"2026-07-05T08:24:59.870627+00:00"}