{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:TUNYPTAYAH2BW6T5WQY4E2QE2C","short_pith_number":"pith:TUNYPTAY","schema_version":"1.0","canonical_sha256":"9d1b87cc1801f41b7a7db431c26a04d08552a234a8ea1f5838ae3763bebab68b","source":{"kind":"arxiv","id":"1902.04650","version":2},"attestation_state":"computed","paper":{"title":"Confidence regions and minimax rates in outlier-robust estimation on the probability simplex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.TH"],"primary_cat":"math.ST","authors_text":"Amir-Hossein Bateni, Arnak S. Dalalyan","submitted_at":"2019-02-12T21:52:30Z","abstract_excerpt":"We consider the problem of estimating the mean of a distribution supported by the $k$-dimensional probability simplex in the setting where an $\\varepsilon$ fraction of observations are subject to adversarial corruption. A simple particular example is the problem of estimating the distribution of a discrete random variable. Assuming that the discrete variable takes $k$ values, the unknown parameter $\\boldsymbol \\theta$ is a $k$-dimensional vector belonging to the probability simplex. We first describe various settings of contamination and discuss the relation between these settings. We then est"},"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":"1902.04650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-12T21:52:30Z","cross_cats_sorted":["cs.LG","stat.TH"],"title_canon_sha256":"53162ae5821832bebb77679a3a5179654323ca1ead8cd6f884e760fe9cc0bfa7","abstract_canon_sha256":"70ed471d8de295d6a82357bedc9613de74bd6958eb678a455ad3f7222005ad45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:37:44.190325Z","signature_b64":"jsBKWOl7iB+a1e2kDOHkcrdu5HCPTcaIfF/wf340lDBsQFAXeErvby34upBMwE8jeux2UNyd13/6W6OJgGTyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d1b87cc1801f41b7a7db431c26a04d08552a234a8ea1f5838ae3763bebab68b","last_reissued_at":"2026-07-05T00:37:44.189848Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:37:44.189848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Confidence regions and minimax rates in outlier-robust estimation on the probability simplex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.TH"],"primary_cat":"math.ST","authors_text":"Amir-Hossein Bateni, Arnak S. Dalalyan","submitted_at":"2019-02-12T21:52:30Z","abstract_excerpt":"We consider the problem of estimating the mean of a distribution supported by the $k$-dimensional probability simplex in the setting where an $\\varepsilon$ fraction of observations are subject to adversarial corruption. A simple particular example is the problem of estimating the distribution of a discrete random variable. Assuming that the discrete variable takes $k$ values, the unknown parameter $\\boldsymbol \\theta$ is a $k$-dimensional vector belonging to the probability simplex. We first describe various settings of contamination and discuss the relation between these settings. We then est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04650","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/1902.04650/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1902.04650","created_at":"2026-07-05T00:37:44.189903+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.04650v2","created_at":"2026-07-05T00:37:44.189903+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04650","created_at":"2026-07-05T00:37:44.189903+00:00"},{"alias_kind":"pith_short_12","alias_value":"TUNYPTAYAH2B","created_at":"2026-07-05T00:37:44.189903+00:00"},{"alias_kind":"pith_short_16","alias_value":"TUNYPTAYAH2BW6T5","created_at":"2026-07-05T00:37:44.189903+00:00"},{"alias_kind":"pith_short_8","alias_value":"TUNYPTAY","created_at":"2026-07-05T00:37:44.189903+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/TUNYPTAYAH2BW6T5WQY4E2QE2C","json":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C.json","graph_json":"https://pith.science/api/pith-number/TUNYPTAYAH2BW6T5WQY4E2QE2C/graph.json","events_json":"https://pith.science/api/pith-number/TUNYPTAYAH2BW6T5WQY4E2QE2C/events.json","paper":"https://pith.science/paper/TUNYPTAY"},"agent_actions":{"view_html":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C","download_json":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C.json","view_paper":"https://pith.science/paper/TUNYPTAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.04650&json=true","fetch_graph":"https://pith.science/api/pith-number/TUNYPTAYAH2BW6T5WQY4E2QE2C/graph.json","fetch_events":"https://pith.science/api/pith-number/TUNYPTAYAH2BW6T5WQY4E2QE2C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C/action/storage_attestation","attest_author":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C/action/author_attestation","sign_citation":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C/action/citation_signature","submit_replication":"https://pith.science/pith/TUNYPTAYAH2BW6T5WQY4E2QE2C/action/replication_record"}},"created_at":"2026-07-05T00:37:44.189903+00:00","updated_at":"2026-07-05T00:37:44.189903+00:00"}