{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TDCHAUE3XJ2VMB4GXCIC7OD72I","short_pith_number":"pith:TDCHAUE3","schema_version":"1.0","canonical_sha256":"98c470509bba75560786b8902fb87fd23b635b8414268523f12bb2468c2333db","source":{"kind":"arxiv","id":"1611.02305","version":1},"attestation_state":"computed","paper":{"title":"Learning Influence Functions from Incomplete Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.ML"],"primary_cat":"cs.SI","authors_text":"David Kempe, Ke Xu, Xinran He, Yan Liu","submitted_at":"2016-11-07T21:28:40Z","abstract_excerpt":"We study the problem of learning influence functions under incomplete observations of node activations. Incomplete observations are a major concern as most (online and real-world) social networks are not fully observable. We establish both proper and improper PAC learnability of influence functions under randomly missing observations. Proper PAC learnability under the Discrete-Time Linear Threshold (DLT) and Discrete-Time Independent Cascade (DIC) models is established by reducing incomplete observations to complete observations in a modified graph. Our improper PAC learnability result applies"},"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":"1611.02305","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2016-11-07T21:28:40Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"7e72fcb9e97e8cc460d133b0d342994cbbdb6a86272bddac1a6ce109f0e06443","abstract_canon_sha256":"0ba2d31abe23e2b698bfdfc713f54cdb46f9746fbd711fe15ec74fc7e5472624"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:52.473577Z","signature_b64":"WX2df0fkifKmp1rm/kVmdpJm/giEr2I1dp1S74HrQZOly9lQZx4ecxYkiMssePDDfeM4aILbRkP9IGkkQqsJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98c470509bba75560786b8902fb87fd23b635b8414268523f12bb2468c2333db","last_reissued_at":"2026-05-18T00:59:52.472853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:52.472853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Learning Influence Functions from Incomplete Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.ML"],"primary_cat":"cs.SI","authors_text":"David Kempe, Ke Xu, Xinran He, Yan Liu","submitted_at":"2016-11-07T21:28:40Z","abstract_excerpt":"We study the problem of learning influence functions under incomplete observations of node activations. Incomplete observations are a major concern as most (online and real-world) social networks are not fully observable. We establish both proper and improper PAC learnability of influence functions under randomly missing observations. Proper PAC learnability under the Discrete-Time Linear Threshold (DLT) and Discrete-Time Independent Cascade (DIC) models is established by reducing incomplete observations to complete observations in a modified graph. Our improper PAC learnability result applies"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02305","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":"1611.02305","created_at":"2026-05-18T00:59:52.472966+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.02305v1","created_at":"2026-05-18T00:59:52.472966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02305","created_at":"2026-05-18T00:59:52.472966+00:00"},{"alias_kind":"pith_short_12","alias_value":"TDCHAUE3XJ2V","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TDCHAUE3XJ2VMB4G","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TDCHAUE3","created_at":"2026-05-18T12:30:44.179134+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/TDCHAUE3XJ2VMB4GXCIC7OD72I","json":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I.json","graph_json":"https://pith.science/api/pith-number/TDCHAUE3XJ2VMB4GXCIC7OD72I/graph.json","events_json":"https://pith.science/api/pith-number/TDCHAUE3XJ2VMB4GXCIC7OD72I/events.json","paper":"https://pith.science/paper/TDCHAUE3"},"agent_actions":{"view_html":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I","download_json":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I.json","view_paper":"https://pith.science/paper/TDCHAUE3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.02305&json=true","fetch_graph":"https://pith.science/api/pith-number/TDCHAUE3XJ2VMB4GXCIC7OD72I/graph.json","fetch_events":"https://pith.science/api/pith-number/TDCHAUE3XJ2VMB4GXCIC7OD72I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I/action/storage_attestation","attest_author":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I/action/author_attestation","sign_citation":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I/action/citation_signature","submit_replication":"https://pith.science/pith/TDCHAUE3XJ2VMB4GXCIC7OD72I/action/replication_record"}},"created_at":"2026-05-18T00:59:52.472966+00:00","updated_at":"2026-05-18T00:59:52.472966+00:00"}