{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WUIE5WDMCU5HCEIGN37N5SBMMJ","short_pith_number":"pith:WUIE5WDM","schema_version":"1.0","canonical_sha256":"b5104ed86c153a7111066efedec82c626c0114a37b1c56cecbf08a5ac524a7ec","source":{"kind":"arxiv","id":"1712.01712","version":1},"attestation_state":"computed","paper":{"title":"Linear Convergence of An Iterative Phase Retrieval Algorithm with Data Reuse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.IT"],"primary_cat":"cs.IT","authors_text":"Gen Li, Yuantao Gu, Yuchen Jiao","submitted_at":"2017-12-05T15:24:49Z","abstract_excerpt":"Phase retrieval has been an attractive but difficult problem rising from physical science, and there has been a gap between state-of-the-art theoretical convergence analyses and the corresponding efficient retrieval methods. Firstly, these analyses all assume that the sensing vectors and the iterative updates are independent, which only fits the ideal model with infinite measurements but not the reality, where data are limited and have to be reused. Secondly, the empirical results of some efficient methods, such as the randomized Kaczmarz method, show linear convergence, which is beyond existi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.01712","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-05T15:24:49Z","cross_cats_sorted":["cs.LG","math.IT"],"title_canon_sha256":"e4743aec9f418d72ff0b343ea2a38604676720641cc1bbc33dd68ec74bbaad09","abstract_canon_sha256":"a65206380baa6bf3e6e887a7412cd44f5352bd43a2a836c5c32d0821f1f837de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:47.803912Z","signature_b64":"OJCS8Ps8jXuwovnGei47eRT2Q9jqtLCJDTyxWBuAGsJj/BttqxtX4bvFqm343YBrP6dOCMSqiDV2pbIvQ13TBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5104ed86c153a7111066efedec82c626c0114a37b1c56cecbf08a5ac524a7ec","last_reissued_at":"2026-05-18T00:28:47.803223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:47.803223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Convergence of An Iterative Phase Retrieval Algorithm with Data Reuse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.IT"],"primary_cat":"cs.IT","authors_text":"Gen Li, Yuantao Gu, Yuchen Jiao","submitted_at":"2017-12-05T15:24:49Z","abstract_excerpt":"Phase retrieval has been an attractive but difficult problem rising from physical science, and there has been a gap between state-of-the-art theoretical convergence analyses and the corresponding efficient retrieval methods. Firstly, these analyses all assume that the sensing vectors and the iterative updates are independent, which only fits the ideal model with infinite measurements but not the reality, where data are limited and have to be reused. Secondly, the empirical results of some efficient methods, such as the randomized Kaczmarz method, show linear convergence, which is beyond existi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01712","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.01712","created_at":"2026-05-18T00:28:47.803334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.01712v1","created_at":"2026-05-18T00:28:47.803334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01712","created_at":"2026-05-18T00:28:47.803334+00:00"},{"alias_kind":"pith_short_12","alias_value":"WUIE5WDMCU5H","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WUIE5WDMCU5HCEIG","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WUIE5WDM","created_at":"2026-05-18T12:31:53.515858+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ","json":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ.json","graph_json":"https://pith.science/api/pith-number/WUIE5WDMCU5HCEIGN37N5SBMMJ/graph.json","events_json":"https://pith.science/api/pith-number/WUIE5WDMCU5HCEIGN37N5SBMMJ/events.json","paper":"https://pith.science/paper/WUIE5WDM"},"agent_actions":{"view_html":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ","download_json":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ.json","view_paper":"https://pith.science/paper/WUIE5WDM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.01712&json=true","fetch_graph":"https://pith.science/api/pith-number/WUIE5WDMCU5HCEIGN37N5SBMMJ/graph.json","fetch_events":"https://pith.science/api/pith-number/WUIE5WDMCU5HCEIGN37N5SBMMJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ/action/storage_attestation","attest_author":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ/action/author_attestation","sign_citation":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ/action/citation_signature","submit_replication":"https://pith.science/pith/WUIE5WDMCU5HCEIGN37N5SBMMJ/action/replication_record"}},"created_at":"2026-05-18T00:28:47.803334+00:00","updated_at":"2026-05-18T00:28:47.803334+00:00"}