{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MLCFA2CF6KNS3FUTDCN3BXNAPB","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":"6985b522d4c0d292bdc05fd475c3ba1fd3823d6c83ac2e62dd9d6ed2270fe07a","cross_cats_sorted":["cond-mat.stat-mech","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T15:10:14Z","title_canon_sha256":"185170136a1c5cb34df875bdd28ec51f2e3f3554b3fd4213174176e067479db5"},"schema_version":"1.0","source":{"id":"2605.30059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.30059","created_at":"2026-05-29T02:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"2605.30059v1","created_at":"2026-05-29T02:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.30059","created_at":"2026-05-29T02:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"MLCFA2CF6KNS","created_at":"2026-05-29T02:06:08Z"},{"alias_kind":"pith_short_16","alias_value":"MLCFA2CF6KNS3FUT","created_at":"2026-05-29T02:06:08Z"},{"alias_kind":"pith_short_8","alias_value":"MLCFA2CF","created_at":"2026-05-29T02:06:08Z"}],"graph_snapshots":[{"event_id":"sha256:721a681904e065296100ed93ab2662aa668f7c25105a2dbb998423f11b8c0da2","target":"graph","created_at":"2026-05-29T02:06:08Z","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/2605.30059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We connect stochastic resetting from non-equilibrium statistical physics with ridge regularization in statistical learning. For linear gradient flow, resetting to the origin at rate $r$ produces stationary mean $(X^\\top X+rI)^{-1}X^\\top y$, exactly the ridge estimator with penalty $\\lambda=r$. This uses the known Laplace-transform relationship between ridge regression and exponential-time averaging of gradient flow, with the exponential time now interpreted as the stationary age associated with Poisson resetting. We then extend this identity to general renewal reset laws: the exponential reset","authors_text":"Petar Jolakoski","cross_cats":["cond-mat.stat-mech","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T15:10:14Z","title":"Ridge Regression from Poisson Resetting: A Renewal Perspective on Spectral Regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.30059","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":"sha256:15cda76b9a82ab3b50347ae42cc5645382197da07fca12e1dc6d41c03de54c83","target":"record","created_at":"2026-05-29T02:06:08Z","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":"6985b522d4c0d292bdc05fd475c3ba1fd3823d6c83ac2e62dd9d6ed2270fe07a","cross_cats_sorted":["cond-mat.stat-mech","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T15:10:14Z","title_canon_sha256":"185170136a1c5cb34df875bdd28ec51f2e3f3554b3fd4213174176e067479db5"},"schema_version":"1.0","source":{"id":"2605.30059","kind":"arxiv","version":1}},"canonical_sha256":"62c4506845f29b2d9693189bb0dda07863c06d77d186f5f9e8e68eea98daed4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62c4506845f29b2d9693189bb0dda07863c06d77d186f5f9e8e68eea98daed4f","first_computed_at":"2026-05-29T02:06:08.793104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:06:08.793104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X9/hW7TdmHWKaZ1Qf6P5oYKD3bp6VWMX8ID4wizX+x7J5DqOZyeZ0QcElb02a8hKRtG/3rZ90BrNvqlr9NphCQ==","signature_status":"signed_v1","signed_at":"2026-05-29T02:06:08.793532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.30059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15cda76b9a82ab3b50347ae42cc5645382197da07fca12e1dc6d41c03de54c83","sha256:721a681904e065296100ed93ab2662aa668f7c25105a2dbb998423f11b8c0da2"],"state_sha256":"b6a56359cd8c4b3fe629489bf10a49dddd102677760fe6eb99f209aaadb552d3"}