{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JQN7BY4PLWUB5UWPYWWQK567IC","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":"f05e9422488963628b27f7218bfd430fcc94bb1e863fdd5e3a98fc696c4ff16f","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-03-06T09:14:24Z","title_canon_sha256":"2f5941aa8248976481545c1cb669628f73f4675c42df3dc10dd18b159fb407ad"},"schema_version":"1.0","source":{"id":"2403.03562","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.03562","created_at":"2026-07-05T09:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"2403.03562v2","created_at":"2026-07-05T09:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.03562","created_at":"2026-07-05T09:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"JQN7BY4PLWUB","created_at":"2026-07-05T09:09:19Z"},{"alias_kind":"pith_short_16","alias_value":"JQN7BY4PLWUB5UWP","created_at":"2026-07-05T09:09:19Z"},{"alias_kind":"pith_short_8","alias_value":"JQN7BY4P","created_at":"2026-07-05T09:09:19Z"}],"graph_snapshots":[{"event_id":"sha256:ebb0535bb2f41fffbf765fa2c63b66d2b74463bb3a1e805a29f5e4096659ed8c","target":"graph","created_at":"2026-07-05T09:09:19Z","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/2403.03562/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the empirical counterpart of Group Distributionally Robust Optimization (GDRO), which aims to minimize the maximal empirical risk across $m$ distinct groups. We formulate empirical GDRO as a $\\textit{two-level}$ finite-sum convex-concave minimax optimization problem and develop an algorithm called ALEG to benefit from its special structure. ALEG is a double-looped stochastic primal-dual algorithm that incorporates variance reduction techniques into a modified mirror prox routine. To exploit the two-level finite-sum structure, we propose a simple group sampling str","authors_text":"Dingzhi Yu, Lijun Zhang, Wei Jiang, Yunuo Cai","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-03-06T09:14:24Z","title":"Efficient Algorithms for Empirical Group Distributionally Robust Optimization and Beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.03562","kind":"arxiv","version":2},"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:c936c183a4f7db02e32b12246d40efec79fb8333f550d4d143e90b63c99c757d","target":"record","created_at":"2026-07-05T09:09:19Z","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":"f05e9422488963628b27f7218bfd430fcc94bb1e863fdd5e3a98fc696c4ff16f","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-03-06T09:14:24Z","title_canon_sha256":"2f5941aa8248976481545c1cb669628f73f4675c42df3dc10dd18b159fb407ad"},"schema_version":"1.0","source":{"id":"2403.03562","kind":"arxiv","version":2}},"canonical_sha256":"4c1bf0e38f5da81ed2cfc5ad0577df40a3103bddf7396c35916e8ebea339d2d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c1bf0e38f5da81ed2cfc5ad0577df40a3103bddf7396c35916e8ebea339d2d7","first_computed_at":"2026-07-05T09:09:19.893808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:09:19.893808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NO3dojq5FyE33/K/3vdLpJTEgSDC1DwXih5gQBwbXkqxq6RZZHGNeFIw6uIwc4nq0PN7wpkKJ/YZuqW1AOqkBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:09:19.894297Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.03562","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c936c183a4f7db02e32b12246d40efec79fb8333f550d4d143e90b63c99c757d","sha256:ebb0535bb2f41fffbf765fa2c63b66d2b74463bb3a1e805a29f5e4096659ed8c"],"state_sha256":"e51a7427d384b76132f456f9bda9e2ffc9fe3bc2329db359ecdc305b24370330"}