{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JBK63KXMLHOP5EVRNKOPKLMGB4","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":"e37f217a62a8ca2d3ae1d0a9b2ba14dbcec754fdae007f9cc64e751c15469d46","cross_cats_sorted":["cs.SY","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T19:31:51Z","title_canon_sha256":"e43e07c71d0b66d031c24f2a12ebe2c4ee669d3e76420a79c2ff03d89284a5ed"},"schema_version":"1.0","source":{"id":"1412.0607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0607","created_at":"2026-05-18T02:32:22Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0607v1","created_at":"2026-05-18T02:32:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0607","created_at":"2026-05-18T02:32:22Z"},{"alias_kind":"pith_short_12","alias_value":"JBK63KXMLHOP","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JBK63KXMLHOP5EVR","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JBK63KXM","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:a31c02d310cd1fa225884b00a1bef20e4b2c77fe387205305dec4781a4be137d","target":"graph","created_at":"2026-05-18T02:32:22Z","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"},"paper":{"abstract_excerpt":"In this paper we study the estimation of changing trends in time-series using $\\ell_1$ trend filtering. This method generalizes 1D Total Variation (TV) denoising for detection of step changes in means to detecting changes in trends, and it relies on a convex optimization problem for which there are very efficient numerical algorithms. It is known that TV denoising suffers from the so-called stair-case effect, which leads to detecting false change points. The objective of this paper is to show that $\\ell_1$ trend filtering also suffers from a certain stair-case problem. The analysis is based on","authors_text":"Bo Wahlberg, Cristian R. Rojas","cross_cats":["cs.SY","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T19:31:51Z","title":"How to monitor and mitigate stair-casing in l1 trend filtering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0607","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:a77a5e11f77196cf7519572618889a41774138fed7191dcc3fbdb99a77f91bf0","target":"record","created_at":"2026-05-18T02:32:22Z","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":"e37f217a62a8ca2d3ae1d0a9b2ba14dbcec754fdae007f9cc64e751c15469d46","cross_cats_sorted":["cs.SY","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T19:31:51Z","title_canon_sha256":"e43e07c71d0b66d031c24f2a12ebe2c4ee669d3e76420a79c2ff03d89284a5ed"},"schema_version":"1.0","source":{"id":"1412.0607","kind":"arxiv","version":1}},"canonical_sha256":"4855edaaec59dcfe92b16a9cf52d860f2d8b14938177096c9c65bb6dd22959f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4855edaaec59dcfe92b16a9cf52d860f2d8b14938177096c9c65bb6dd22959f8","first_computed_at":"2026-05-18T02:32:22.997505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:22.997505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bNfn22L7BSdUKx7UF+VZdNsYd9TTyqmedg9d5seB1HwE2NTtJm+Sr6T6XmmPA2Yyo7OAAhgEldDeP2TmfqpFCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:22.997902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a77a5e11f77196cf7519572618889a41774138fed7191dcc3fbdb99a77f91bf0","sha256:a31c02d310cd1fa225884b00a1bef20e4b2c77fe387205305dec4781a4be137d"],"state_sha256":"f2a80292631240ea7da72b46b6da3699fa38a0532063e7e1620db5339fdce882"}