{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG","short_pith_number":"pith:VEFYNJ2D","schema_version":"1.0","canonical_sha256":"a90b86a74353fa6fe409dd4dcc84fc59bfdf4975ed6a6ccf136dea98826039af","source":{"kind":"arxiv","id":"2606.04375","version":1},"attestation_state":"computed","paper":{"title":"When Do Fewer Coordinates Suffice in DP-SGD?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Fang Xie, Huiqi Zhang","submitted_at":"2026-06-03T02:46:25Z","abstract_excerpt":"Differentially private stochastic gradient descent (DP-SGD) injects noise into every updated coordinate, making the injected noise energy scale with the ambient parameter dimension \\(d\\). We ask when private training can update fewer coordinates without losing the signal needed for optimization. We propose \\textsc{TP-TopK} (Two-Phase TopK DP-SGD), a two-phase method for coordinate-sparse private training without public data, in which a private warm-up phase identifies a coordinate support used to guide the main training phase. We give a criterion characterizing when coordinate restriction can "},"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":"2606.04375","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T02:46:25Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"2b4a552fdfc541c4fe2328ff83843b8a9b78ec18b4d5942ed36393adb128d000","abstract_canon_sha256":"3332e5d075cff28eebdb166fd2f87477d374481e8f422a8dc2748391d014018a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:05.749923Z","signature_b64":"0+U6DOLFmnBBdh1ik32QL+08vG2dsmMvwGVRj7ptrYcY7HtneG4zrYjvT92oe5gjUYR+PnMLGeRLD27i0eueAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a90b86a74353fa6fe409dd4dcc84fc59bfdf4975ed6a6ccf136dea98826039af","last_reissued_at":"2026-06-04T01:09:05.749523Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:05.749523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"When Do Fewer Coordinates Suffice in DP-SGD?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Fang Xie, Huiqi Zhang","submitted_at":"2026-06-03T02:46:25Z","abstract_excerpt":"Differentially private stochastic gradient descent (DP-SGD) injects noise into every updated coordinate, making the injected noise energy scale with the ambient parameter dimension \\(d\\). We ask when private training can update fewer coordinates without losing the signal needed for optimization. We propose \\textsc{TP-TopK} (Two-Phase TopK DP-SGD), a two-phase method for coordinate-sparse private training without public data, in which a private warm-up phase identifies a coordinate support used to guide the main training phase. We give a criterion characterizing when coordinate restriction can "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04375","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/2606.04375/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":"2606.04375","created_at":"2026-06-04T01:09:05.749576+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.04375v1","created_at":"2026-06-04T01:09:05.749576+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04375","created_at":"2026-06-04T01:09:05.749576+00:00"},{"alias_kind":"pith_short_12","alias_value":"VEFYNJ2DKP5G","created_at":"2026-06-04T01:09:05.749576+00:00"},{"alias_kind":"pith_short_16","alias_value":"VEFYNJ2DKP5G7ZAJ","created_at":"2026-06-04T01:09:05.749576+00:00"},{"alias_kind":"pith_short_8","alias_value":"VEFYNJ2D","created_at":"2026-06-04T01:09:05.749576+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/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG","json":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG.json","graph_json":"https://pith.science/api/pith-number/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/graph.json","events_json":"https://pith.science/api/pith-number/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/events.json","paper":"https://pith.science/paper/VEFYNJ2D"},"agent_actions":{"view_html":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG","download_json":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG.json","view_paper":"https://pith.science/paper/VEFYNJ2D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.04375&json=true","fetch_graph":"https://pith.science/api/pith-number/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/graph.json","fetch_events":"https://pith.science/api/pith-number/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/action/storage_attestation","attest_author":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/action/author_attestation","sign_citation":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/action/citation_signature","submit_replication":"https://pith.science/pith/VEFYNJ2DKP5G7ZAJ3VG4ZBH4LG/action/replication_record"}},"created_at":"2026-06-04T01:09:05.749576+00:00","updated_at":"2026-06-04T01:09:05.749576+00:00"}