{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VH7MMV27VWNZITM2YCKUQ2VSF4","short_pith_number":"pith:VH7MMV27","canonical_record":{"source":{"id":"1409.8327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-29T21:08:54Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"b1b360b2e85d0c63418d352f8044c3cc56fe3f4b76384aff25b5ba6e02d47c2e","abstract_canon_sha256":"63d3e080f919bf02c905df52d2dc58e6f383f1ede6ffc126b0bd41f6537c040e"},"schema_version":"1.0"},"canonical_sha256":"a9fec6575fad9b944d9ac095486ab22f0a0cea32d01a624f720593e79efa1c49","source":{"kind":"arxiv","id":"1409.8327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8327","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8327v1","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8327","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"VH7MMV27VWNZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VH7MMV27VWNZITM2","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VH7MMV27","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VH7MMV27VWNZITM2YCKUQ2VSF4","target":"record","payload":{"canonical_record":{"source":{"id":"1409.8327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-29T21:08:54Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"b1b360b2e85d0c63418d352f8044c3cc56fe3f4b76384aff25b5ba6e02d47c2e","abstract_canon_sha256":"63d3e080f919bf02c905df52d2dc58e6f383f1ede6ffc126b0bd41f6537c040e"},"schema_version":"1.0"},"canonical_sha256":"a9fec6575fad9b944d9ac095486ab22f0a0cea32d01a624f720593e79efa1c49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:25.581803Z","signature_b64":"ax9RET0NADPkCI50iQKfJpi0ZJVA4X/l2zldf82gR+tz3EV/r8HDWQTW13u4DfDBA6IPnLhT6MykKxLDRQZmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9fec6575fad9b944d9ac095486ab22f0a0cea32d01a624f720593e79efa1c49","last_reissued_at":"2026-05-18T02:41:25.581237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:25.581237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.8327","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ILKblOhFPC16YZsGmKgP+F4D2Ar4LWfZrxI+LmHqQDQrM199f97V/PU5tIogEWmq1JO76vz++XTtmTIIrJhQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T11:11:26.180484Z"},"content_sha256":"8bf295649aa21c73cb612cb0145e62bceab107911b9416abf54d09235349045c","schema_version":"1.0","event_id":"sha256:8bf295649aa21c73cb612cb0145e62bceab107911b9416abf54d09235349045c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VH7MMV27VWNZITM2YCKUQ2VSF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian and regularization approaches to multivariable linear system identification: the role of rank penalties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.ML"],"primary_cat":"cs.SY","authors_text":"Alessandro Chiuso, Gianluigi Pillonetto, Giulia Prando","submitted_at":"2014-09-29T21:08:54Z","abstract_excerpt":"Recent developments in linear system identification have proposed the use of non-parameteric methods, relying on regularization strategies, to handle the so-called bias/variance trade-off. This paper introduces an impulse response estimator which relies on an $\\ell_2$-type regularization including a rank-penalty derived using the log-det heuristic as a smooth approximation to the rank function. This allows to account for different properties of the estimated impulse response (e.g. smoothness and stability) while also penalizing high-complexity models. This also allows to account and enforce co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8327","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rsE+ilH/dy+r9ztZJrLOxKv6ktutPmBanSsjep0sMRrSXcP9NjlpF6e1qF25d9vSTn5f2WC65G2H143Q4JLdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T11:11:26.180817Z"},"content_sha256":"0c781e37518dc180d312e2ba45133abbc9a3d9100bc6e1c507e7c81619348f65","schema_version":"1.0","event_id":"sha256:0c781e37518dc180d312e2ba45133abbc9a3d9100bc6e1c507e7c81619348f65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VH7MMV27VWNZITM2YCKUQ2VSF4/bundle.json","state_url":"https://pith.science/pith/VH7MMV27VWNZITM2YCKUQ2VSF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VH7MMV27VWNZITM2YCKUQ2VSF4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T11:11:26Z","links":{"resolver":"https://pith.science/pith/VH7MMV27VWNZITM2YCKUQ2VSF4","bundle":"https://pith.science/pith/VH7MMV27VWNZITM2YCKUQ2VSF4/bundle.json","state":"https://pith.science/pith/VH7MMV27VWNZITM2YCKUQ2VSF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VH7MMV27VWNZITM2YCKUQ2VSF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VH7MMV27VWNZITM2YCKUQ2VSF4","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":"63d3e080f919bf02c905df52d2dc58e6f383f1ede6ffc126b0bd41f6537c040e","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-29T21:08:54Z","title_canon_sha256":"b1b360b2e85d0c63418d352f8044c3cc56fe3f4b76384aff25b5ba6e02d47c2e"},"schema_version":"1.0","source":{"id":"1409.8327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8327","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8327v1","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8327","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"VH7MMV27VWNZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VH7MMV27VWNZITM2","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VH7MMV27","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:0c781e37518dc180d312e2ba45133abbc9a3d9100bc6e1c507e7c81619348f65","target":"graph","created_at":"2026-05-18T02:41:25Z","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":"Recent developments in linear system identification have proposed the use of non-parameteric methods, relying on regularization strategies, to handle the so-called bias/variance trade-off. This paper introduces an impulse response estimator which relies on an $\\ell_2$-type regularization including a rank-penalty derived using the log-det heuristic as a smooth approximation to the rank function. This allows to account for different properties of the estimated impulse response (e.g. smoothness and stability) while also penalizing high-complexity models. This also allows to account and enforce co","authors_text":"Alessandro Chiuso, Gianluigi Pillonetto, Giulia Prando","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-29T21:08:54Z","title":"Bayesian and regularization approaches to multivariable linear system identification: the role of rank penalties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8327","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":"sha256:8bf295649aa21c73cb612cb0145e62bceab107911b9416abf54d09235349045c","target":"record","created_at":"2026-05-18T02:41:25Z","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":"63d3e080f919bf02c905df52d2dc58e6f383f1ede6ffc126b0bd41f6537c040e","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-29T21:08:54Z","title_canon_sha256":"b1b360b2e85d0c63418d352f8044c3cc56fe3f4b76384aff25b5ba6e02d47c2e"},"schema_version":"1.0","source":{"id":"1409.8327","kind":"arxiv","version":1}},"canonical_sha256":"a9fec6575fad9b944d9ac095486ab22f0a0cea32d01a624f720593e79efa1c49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9fec6575fad9b944d9ac095486ab22f0a0cea32d01a624f720593e79efa1c49","first_computed_at":"2026-05-18T02:41:25.581237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:25.581237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ax9RET0NADPkCI50iQKfJpi0ZJVA4X/l2zldf82gR+tz3EV/r8HDWQTW13u4DfDBA6IPnLhT6MykKxLDRQZmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:25.581803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.8327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bf295649aa21c73cb612cb0145e62bceab107911b9416abf54d09235349045c","sha256:0c781e37518dc180d312e2ba45133abbc9a3d9100bc6e1c507e7c81619348f65"],"state_sha256":"26d921081f79540182f3ee16a288f978c168e628d675a7ce94726ee620475de4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"69auEcqkaUoVCC/HkdmV56rT0x+kJ0vCbO4k918/J27DaRjsr1sp3dUkoRxLhYUs2k9YI5cTo368ATrSt7HtCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T11:11:26.182668Z","bundle_sha256":"f9343b7f75da4abf69184527c2c1672155cf365f898c4f215a8c3c3c8b397bc3"}}