{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TCAPQNQOVJIJTFRPBLXAYACHQU","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":"dc7f90b25d086d43f5663a34f70b95dd9ed916f64d4aa7c9184ed045127e6a0c","cross_cats_sorted":["cs.LG","cs.NE","math.OC","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-03-08T09:26:36Z","title_canon_sha256":"0d9a52adca48acd7b27d89f7d2b38f3c8065bd7f3c6e3a470bb5ba1e6ee60bcd"},"schema_version":"1.0","source":{"id":"1703.02757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02757","created_at":"2026-05-18T00:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02757v1","created_at":"2026-05-18T00:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02757","created_at":"2026-05-18T00:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"TCAPQNQOVJIJ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TCAPQNQOVJIJTFRP","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TCAPQNQO","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:20d627e4b0268c7d67881d1b47d42fac73d3a5e5df5474066f0686ffb406827e","target":"graph","created_at":"2026-05-18T00:48:53Z","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"},"paper":{"abstract_excerpt":"The growth of data, the need for scalability and the complexity of models used in modern machine learning calls for distributed implementations. Yet, as of today, distributed machine learning frameworks have largely ignored the possibility of arbitrary (i.e., Byzantine) failures. In this paper, we study the robustness to Byzantine failures at the fundamental level of stochastic gradient descent (SGD), the heart of most machine learning algorithms. Assuming a set of $n$ workers, up to $f$ of them being Byzantine, we ask how robust can SGD be, without limiting the dimension, nor the size of the ","authors_text":"El Mahdi El Mhamdi, Julien Stainer, Peva Blanchard, Rachid Guerraoui","cross_cats":["cs.LG","cs.NE","math.OC","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-03-08T09:26:36Z","title":"Byzantine-Tolerant Machine Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02757","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:de678a5e1fd69979919aa437cb887a5f8f53cd660e1b2e9269d7cd1fcf138509","target":"record","created_at":"2026-05-18T00:48:53Z","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":"dc7f90b25d086d43f5663a34f70b95dd9ed916f64d4aa7c9184ed045127e6a0c","cross_cats_sorted":["cs.LG","cs.NE","math.OC","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-03-08T09:26:36Z","title_canon_sha256":"0d9a52adca48acd7b27d89f7d2b38f3c8065bd7f3c6e3a470bb5ba1e6ee60bcd"},"schema_version":"1.0","source":{"id":"1703.02757","kind":"arxiv","version":1}},"canonical_sha256":"9880f8360eaa5099962f0aee0c004785120fc83580beddbeaf7306413997a48f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9880f8360eaa5099962f0aee0c004785120fc83580beddbeaf7306413997a48f","first_computed_at":"2026-05-18T00:48:53.169671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:53.169671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Ga4eA5VTP3TeTFqPS5wPW/OkBIL9bZGPxdI8e2F54C0Da64k7vrxcyamAWehBFXC4XcuMGF7/uPzXi7Ndt/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:53.170468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.02757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de678a5e1fd69979919aa437cb887a5f8f53cd660e1b2e9269d7cd1fcf138509","sha256:20d627e4b0268c7d67881d1b47d42fac73d3a5e5df5474066f0686ffb406827e"],"state_sha256":"b920c93e3686947bba1406b7f0d49eccddbd49aa5694549d44d0da100e889b4a"}