{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:O4AMFGIIKQRHMPIHTXJ6CZ4TSG","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":"e13396c70e584f952814989a028bc8f66e7b132d68ac31dff5859823dd74f4ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2020-03-27T16:15:47Z","title_canon_sha256":"ff067bc6dc0a6ff2b028320fdee91ef67c6f7e11ed5406770f042c92f19f0acb"},"schema_version":"1.0","source":{"id":"2003.12507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.12507","created_at":"2026-07-05T01:53:49Z"},{"alias_kind":"arxiv_version","alias_value":"2003.12507v1","created_at":"2026-07-05T01:53:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.12507","created_at":"2026-07-05T01:53:49Z"},{"alias_kind":"pith_short_12","alias_value":"O4AMFGIIKQRH","created_at":"2026-07-05T01:53:49Z"},{"alias_kind":"pith_short_16","alias_value":"O4AMFGIIKQRHMPIH","created_at":"2026-07-05T01:53:49Z"},{"alias_kind":"pith_short_8","alias_value":"O4AMFGII","created_at":"2026-07-05T01:53:49Z"}],"graph_snapshots":[{"event_id":"sha256:e7f1b43f11b28c4080f000276880b6a04dbca196b10bc5b83073fdf9ab1eeece","target":"graph","created_at":"2026-07-05T01:53:49Z","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/2003.12507/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the machine learning era, sparsity continues to attract significant interest due to the benefits it provides to learning models. Algorithms aiming to optimise the \\(\\ell_0\\)- and \\(\\ell_1\\)-norm are the common choices to achieve sparsity. In this work, an alternative algorithm is proposed, which is derived based on the assumption of a Cauchy distribution characterising the coefficients in sparse domains. The Cauchy distribution is known to be able to capture heavy-tails in the data, which are linked to sparse processes. We begin by deriving the Cauchy proximal operator and subsequently prop","authors_text":"Alin Achim, Perla Mayo, Robin Holmes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2020-03-27T16:15:47Z","title":"Iterative Cauchy Thresholding: Regularisation with a heavy-tailed prior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.12507","kind":"arxiv","version":1},"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":"sha256:4b99dfb16d4cc79d7dec4dd553de1b2b46d368138b0cd3b965adbbf8b8b1744a","target":"record","created_at":"2026-07-05T01:53:49Z","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":"e13396c70e584f952814989a028bc8f66e7b132d68ac31dff5859823dd74f4ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2020-03-27T16:15:47Z","title_canon_sha256":"ff067bc6dc0a6ff2b028320fdee91ef67c6f7e11ed5406770f042c92f19f0acb"},"schema_version":"1.0","source":{"id":"2003.12507","kind":"arxiv","version":1}},"canonical_sha256":"7700c299085422763d079dd3e1679391a36efca03e0368ad5de041aed5472833","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7700c299085422763d079dd3e1679391a36efca03e0368ad5de041aed5472833","first_computed_at":"2026-07-05T01:53:49.138668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:53:49.138668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tmLM2GYiJ5C6O8TYKUlb6KKReg56rxDItTROuiVg/c+gKJQ/SszdlPj4lo63vt0CgEk2vfHUaKV7uarfsrryCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:53:49.139082Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.12507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b99dfb16d4cc79d7dec4dd553de1b2b46d368138b0cd3b965adbbf8b8b1744a","sha256:e7f1b43f11b28c4080f000276880b6a04dbca196b10bc5b83073fdf9ab1eeece"],"state_sha256":"436d643ba09cba09a3af262b2a18298729474018c156a9d9f1a91055b933878a"}