{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SWA6TQEKKRZZJ35HIFZC3NNBXG","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":"d1063a9de7dcb75e487b10f4af59da321fa2d3c21d64cce952a2910f168cff22","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-09T21:44:40Z","title_canon_sha256":"ded1a3cbe83b560b492079332225665fe9763efc19d2ea76f94c014811d7ba09"},"schema_version":"1.0","source":{"id":"1902.03498","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03498","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03498v3","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03498","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"SWA6TQEKKRZZ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SWA6TQEKKRZZJ35H","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SWA6TQEK","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:756a3b1afaf2d6c9d92ad144480e63df5b26a183dacd5068e041c954bebf5415","target":"graph","created_at":"2026-05-17T23:43:32Z","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":"We show that fundamental learning tasks, such as finding an approximate linear separator or linear regression, require memory at least \\emph{quadratic} in the dimension, in a natural streaming setting. This implies that such problems cannot be solved (at least in this setting) by scalable memory-efficient streaming algorithms. Our results build on a memory lower bound for a simple linear-algebraic problem -- finding orthogonal vectors -- and utilize the estimates on the packing of the Grassmannian, the manifold of all linear subspaces of fixed dimension.","authors_text":"Gil Kur, Ohad Shamir, Yuval Dagan","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-09T21:44:40Z","title":"Space lower bounds for linear prediction in the streaming model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03498","kind":"arxiv","version":3},"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:db43cf2de3d2b4cb68f688fec57bad1681468f5e581040743f10a1f1ff6b83d5","target":"record","created_at":"2026-05-17T23:43:32Z","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":"d1063a9de7dcb75e487b10f4af59da321fa2d3c21d64cce952a2910f168cff22","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-09T21:44:40Z","title_canon_sha256":"ded1a3cbe83b560b492079332225665fe9763efc19d2ea76f94c014811d7ba09"},"schema_version":"1.0","source":{"id":"1902.03498","kind":"arxiv","version":3}},"canonical_sha256":"9581e9c08a547394efa741722db5a1b99d7ed35e6cedbe2f3fa5880bf58744b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9581e9c08a547394efa741722db5a1b99d7ed35e6cedbe2f3fa5880bf58744b4","first_computed_at":"2026-05-17T23:43:32.844688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:32.844688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YqWHwbLf2gcjAjfKLztLY7tDs5hOsFf/HBCs1v1SudSEZi0Aay1fps3uEkHShvbH5V1JEb2302Pq3HKpEaoFCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:32.845107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.03498","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db43cf2de3d2b4cb68f688fec57bad1681468f5e581040743f10a1f1ff6b83d5","sha256:756a3b1afaf2d6c9d92ad144480e63df5b26a183dacd5068e041c954bebf5415"],"state_sha256":"9090ce794e44f99afd4c31f5eb087698c4c8c533f1d810450d559f87586fadbf"}