{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GAHD2Y22POARIQWSEPN67FJYI2","short_pith_number":"pith:GAHD2Y22","canonical_record":{"source":{"id":"1905.12115","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-28T22:02:24Z","cross_cats_sorted":["cs.LG","stat.CO"],"title_canon_sha256":"0136f71102b4ac41f5bd644a1a3ed7dd4cb95619b1c97da230a1e733ee01a61a","abstract_canon_sha256":"dd0ef85fa766b5c231a844b08c9f97f72687fcd2a8e28cd7566beb81ce4b0d3c"},"schema_version":"1.0"},"canonical_sha256":"300e3d635a7b811442d223dbef953846b1e68afcc3639131213519c03435f03c","source":{"kind":"arxiv","id":"1905.12115","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12115","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12115v2","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12115","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"GAHD2Y22POAR","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"pith_short_16","alias_value":"GAHD2Y22POARIQWS","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"pith_short_8","alias_value":"GAHD2Y22","created_at":"2026-07-05T00:16:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GAHD2Y22POARIQWSEPN67FJYI2","target":"record","payload":{"canonical_record":{"source":{"id":"1905.12115","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-28T22:02:24Z","cross_cats_sorted":["cs.LG","stat.CO"],"title_canon_sha256":"0136f71102b4ac41f5bd644a1a3ed7dd4cb95619b1c97da230a1e733ee01a61a","abstract_canon_sha256":"dd0ef85fa766b5c231a844b08c9f97f72687fcd2a8e28cd7566beb81ce4b0d3c"},"schema_version":"1.0"},"canonical_sha256":"300e3d635a7b811442d223dbef953846b1e68afcc3639131213519c03435f03c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:16:20.291383Z","signature_b64":"P61NVVUGb54wAYHsuIhVeph1na4/fMCm3sE6LP5HZ5QFVZSJLhTmCvYa5EWc/ZKkuG5AF1BZCPAQbDn6DvzJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"300e3d635a7b811442d223dbef953846b1e68afcc3639131213519c03435f03c","last_reissued_at":"2026-07-05T00:16:20.290917Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:16:20.290917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.12115","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:16:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bwfokNewGgyOBXYG8rXf2nPDD2afgT/0VuAxbh7bG6VQn40z8MnsxAHGVDU80kzaGrTRD3zWc07ZU47kh8JiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:12:45.381407Z"},"content_sha256":"acff1effddd50cbd4f9e5ac0ea58194a344e77496b6547a9a86246ed499a3f14","schema_version":"1.0","event_id":"sha256:acff1effddd50cbd4f9e5ac0ea58194a344e77496b6547a9a86246ed499a3f14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GAHD2Y22POARIQWSEPN67FJYI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"AdaOja: Adaptive Learning Rates for Streaming PCA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.CO"],"primary_cat":"stat.ML","authors_text":"Amelia Henriksen, Rachel Ward","submitted_at":"2019-05-28T22:02:24Z","abstract_excerpt":"Oja's algorithm has been the cornerstone of streaming methods in Principal Component Analysis (PCA) since it was first proposed in 1982. However, Oja's algorithm does not have a standardized choice of learning rate (step size) that both performs well in practice and truly conforms to the online streaming setting. In this paper, we propose a new learning rate scheme for Oja's method called AdaOja. This new algorithm requires only a single pass over the data and does not depend on knowing properties of the data set a priori. AdaOja is a novel variation of the Adagrad algorithm to Oja's algorithm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12115","kind":"arxiv","version":2},"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/1905.12115/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:16:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XWJW3yO5b/LYNdQ34jph0091wg8/Obft5JPpuHvDsblWTEC5+63r5HoP1ibg8XFuSjbl27diVXD0HwykePABAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:12:45.381908Z"},"content_sha256":"16260e386432be038f7a25e63d7d72dfcc99bdf3dd500508e3e3c6078569b061","schema_version":"1.0","event_id":"sha256:16260e386432be038f7a25e63d7d72dfcc99bdf3dd500508e3e3c6078569b061"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GAHD2Y22POARIQWSEPN67FJYI2/bundle.json","state_url":"https://pith.science/pith/GAHD2Y22POARIQWSEPN67FJYI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GAHD2Y22POARIQWSEPN67FJYI2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T06:12:45Z","links":{"resolver":"https://pith.science/pith/GAHD2Y22POARIQWSEPN67FJYI2","bundle":"https://pith.science/pith/GAHD2Y22POARIQWSEPN67FJYI2/bundle.json","state":"https://pith.science/pith/GAHD2Y22POARIQWSEPN67FJYI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GAHD2Y22POARIQWSEPN67FJYI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GAHD2Y22POARIQWSEPN67FJYI2","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":"dd0ef85fa766b5c231a844b08c9f97f72687fcd2a8e28cd7566beb81ce4b0d3c","cross_cats_sorted":["cs.LG","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-28T22:02:24Z","title_canon_sha256":"0136f71102b4ac41f5bd644a1a3ed7dd4cb95619b1c97da230a1e733ee01a61a"},"schema_version":"1.0","source":{"id":"1905.12115","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12115","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12115v2","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12115","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"GAHD2Y22POAR","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"pith_short_16","alias_value":"GAHD2Y22POARIQWS","created_at":"2026-07-05T00:16:20Z"},{"alias_kind":"pith_short_8","alias_value":"GAHD2Y22","created_at":"2026-07-05T00:16:20Z"}],"graph_snapshots":[{"event_id":"sha256:16260e386432be038f7a25e63d7d72dfcc99bdf3dd500508e3e3c6078569b061","target":"graph","created_at":"2026-07-05T00:16:20Z","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/1905.12115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Oja's algorithm has been the cornerstone of streaming methods in Principal Component Analysis (PCA) since it was first proposed in 1982. However, Oja's algorithm does not have a standardized choice of learning rate (step size) that both performs well in practice and truly conforms to the online streaming setting. In this paper, we propose a new learning rate scheme for Oja's method called AdaOja. This new algorithm requires only a single pass over the data and does not depend on knowing properties of the data set a priori. AdaOja is a novel variation of the Adagrad algorithm to Oja's algorithm","authors_text":"Amelia Henriksen, Rachel Ward","cross_cats":["cs.LG","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-28T22:02:24Z","title":"AdaOja: Adaptive Learning Rates for Streaming PCA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12115","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:acff1effddd50cbd4f9e5ac0ea58194a344e77496b6547a9a86246ed499a3f14","target":"record","created_at":"2026-07-05T00:16:20Z","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":"dd0ef85fa766b5c231a844b08c9f97f72687fcd2a8e28cd7566beb81ce4b0d3c","cross_cats_sorted":["cs.LG","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-28T22:02:24Z","title_canon_sha256":"0136f71102b4ac41f5bd644a1a3ed7dd4cb95619b1c97da230a1e733ee01a61a"},"schema_version":"1.0","source":{"id":"1905.12115","kind":"arxiv","version":2}},"canonical_sha256":"300e3d635a7b811442d223dbef953846b1e68afcc3639131213519c03435f03c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"300e3d635a7b811442d223dbef953846b1e68afcc3639131213519c03435f03c","first_computed_at":"2026-07-05T00:16:20.290917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:16:20.290917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P61NVVUGb54wAYHsuIhVeph1na4/fMCm3sE6LP5HZ5QFVZSJLhTmCvYa5EWc/ZKkuG5AF1BZCPAQbDn6DvzJCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:16:20.291383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.12115","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acff1effddd50cbd4f9e5ac0ea58194a344e77496b6547a9a86246ed499a3f14","sha256:16260e386432be038f7a25e63d7d72dfcc99bdf3dd500508e3e3c6078569b061"],"state_sha256":"d000e74aff38a96be1d46c5d150ff100dc892a13c9a41dc78de92394d8c7a4cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+drFi8+uLWxy/hROQ6GTQw60p4jkTmuIquMPOkHgmbyozigsc2GcjORjehWwijwRmGF6NbU0kZeCiSXYeAvFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:12:45.385429Z","bundle_sha256":"979748347b776c19ad61766c22b745e10bb1c2a97657fb839972f06dce721790"}}