{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NP7MMFAWD4JOLIQGXTA6WBMBSP","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":"046d6adbbcd9de42d9dab30676acfb7dc8eac3f869e04c710947fa828dc83dd7","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-06T11:58:43Z","title_canon_sha256":"7bf7f60164cba83bd693100e8daf2c91c5beaf2f4de8f43e5f8d008c083bed12"},"schema_version":"1.0","source":{"id":"2002.02208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.02208","created_at":"2026-07-05T00:38:50Z"},{"alias_kind":"arxiv_version","alias_value":"2002.02208v1","created_at":"2026-07-05T00:38:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.02208","created_at":"2026-07-05T00:38:50Z"},{"alias_kind":"pith_short_12","alias_value":"NP7MMFAWD4JO","created_at":"2026-07-05T00:38:50Z"},{"alias_kind":"pith_short_16","alias_value":"NP7MMFAWD4JOLIQG","created_at":"2026-07-05T00:38:50Z"},{"alias_kind":"pith_short_8","alias_value":"NP7MMFAW","created_at":"2026-07-05T00:38:50Z"}],"graph_snapshots":[{"event_id":"sha256:4ad6bb88db4b53f4cc90522ca8774290ec422eb6e4ff473db5d351902f396ff0","target":"graph","created_at":"2026-07-05T00:38:50Z","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/2002.02208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive global convergence bounds for the Frank Wolfe algorithm when training one hidden layer neural networks. When using the ReLU activation function, and under tractable preconditioning assumptions on the sample data set, the linear minimization oracle used to incrementally form the solution can be solved explicitly as a second order cone program. The classical Frank Wolfe algorithm then converges with rate $O(1/T)$ where $T$ is both the number of neurons and the number of calls to the oracle.","authors_text":"Alexandre d'Aspremont, Mert Pilanci","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-06T11:58:43Z","title":"Global Convergence of Frank Wolfe on One Hidden Layer Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.02208","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":"sha256:4f522cf7931da889ba5591d3c5d07689ae4f66e38792beca019e6777e72ff325","target":"record","created_at":"2026-07-05T00:38:50Z","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":"046d6adbbcd9de42d9dab30676acfb7dc8eac3f869e04c710947fa828dc83dd7","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-06T11:58:43Z","title_canon_sha256":"7bf7f60164cba83bd693100e8daf2c91c5beaf2f4de8f43e5f8d008c083bed12"},"schema_version":"1.0","source":{"id":"2002.02208","kind":"arxiv","version":1}},"canonical_sha256":"6bfec614161f12e5a206bcc1eb058193feb75a0f03f78fe532bf6a758699acb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bfec614161f12e5a206bcc1eb058193feb75a0f03f78fe532bf6a758699acb0","first_computed_at":"2026-07-05T00:38:50.231806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:38:50.231806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AnTSkTbEkNvp6oafefTXGPC0zFH/pj5JGCzO2Mm35EzZWTWJi5CoMsLmIjLg4jH4lsWRGnYpdRPa/llUy8gxBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:38:50.232183Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.02208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f522cf7931da889ba5591d3c5d07689ae4f66e38792beca019e6777e72ff325","sha256:4ad6bb88db4b53f4cc90522ca8774290ec422eb6e4ff473db5d351902f396ff0"],"state_sha256":"905331982b81ad7761ccd44798aea7e6a1ff4661ac8683ae362d38277bf25c10"}