{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IE7WDZU4ROIILRKKQ37EBMOJPZ","short_pith_number":"pith:IE7WDZU4","canonical_record":{"source":{"id":"1011.1026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-11-03T22:26:10Z","cross_cats_sorted":[],"title_canon_sha256":"d7621e9b27e047ddd364a8b8a5d68dcedb5e428996e32eaee25096e5137f6805","abstract_canon_sha256":"6ab6e4a552def364475501c79c8346b6c6147600321586bebd8d5060e15c11b8"},"schema_version":"1.0"},"canonical_sha256":"413f61e69c8b9085c54a86fe40b1c97e45daa6e3422c32e457343315ef4735c2","source":{"kind":"arxiv","id":"1011.1026","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1026","created_at":"2026-05-18T04:37:09Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1026v1","created_at":"2026-05-18T04:37:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1026","created_at":"2026-05-18T04:37:09Z"},{"alias_kind":"pith_short_12","alias_value":"IE7WDZU4ROII","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IE7WDZU4ROIILRKK","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IE7WDZU4","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IE7WDZU4ROIILRKKQ37EBMOJPZ","target":"record","payload":{"canonical_record":{"source":{"id":"1011.1026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-11-03T22:26:10Z","cross_cats_sorted":[],"title_canon_sha256":"d7621e9b27e047ddd364a8b8a5d68dcedb5e428996e32eaee25096e5137f6805","abstract_canon_sha256":"6ab6e4a552def364475501c79c8346b6c6147600321586bebd8d5060e15c11b8"},"schema_version":"1.0"},"canonical_sha256":"413f61e69c8b9085c54a86fe40b1c97e45daa6e3422c32e457343315ef4735c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:09.752055Z","signature_b64":"OaWl1IRoBHYrC2XlcHRAQjmy+MdXiCiBEu7/UbBLvdSFUpEr85o2f+qlR115Xnz8QemOdcJ/Ke6zSbUVkw3vBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"413f61e69c8b9085c54a86fe40b1c97e45daa6e3422c32e457343315ef4735c2","last_reissued_at":"2026-05-18T04:37:09.751568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:09.751568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.1026","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":"2026-05-18T04:37:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mCXfZQXO0OIXzNtnb8L0jN54j/ykvx/psRkW2yN/rAgTWN9tuztjsPYzfZUuX+WRLGuXHFs8x/v9HKFVG8gCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:15:04.865760Z"},"content_sha256":"dc2d0e42cd1a8180114e3848ce85000bdcf76ef52e80c4ddb3a4fbf1c475f5f5","schema_version":"1.0","event_id":"sha256:dc2d0e42cd1a8180114e3848ce85000bdcf76ef52e80c4ddb3a4fbf1c475f5f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IE7WDZU4ROIILRKKQ37EBMOJPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Lasso under Heteroscedasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Bin Yu, Jinzhu Jia, Karl Rohe","submitted_at":"2010-11-03T22:26:10Z","abstract_excerpt":"The performance of the Lasso is well understood under the assumptions of the standard linear model with homoscedastic noise. However, in several applications, the standard model does not describe the important features of the data. This paper examines how the Lasso performs on a non-standard model that is motivated by medical imaging applications. In these applications, the variance of the noise scales linearly with the expectation of the observation. Like all heteroscedastic models, the noise terms in this Poisson-like model are \\textit{not} independent of the design matrix.\n  More specifical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1026","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":"2026-05-18T04:37:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XF2/T2LStpJ5+I6l83ihIgeP/krnKyTevYvEunVeXt6+BS/BZyjqjXFM8+zV99n0GRBjhS9ahpsk+5eDJyA/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:15:04.866109Z"},"content_sha256":"a010e81e1b013d2d90f9a255093098da25d81a5bef01b2eda1d86eea94d11381","schema_version":"1.0","event_id":"sha256:a010e81e1b013d2d90f9a255093098da25d81a5bef01b2eda1d86eea94d11381"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ/bundle.json","state_url":"https://pith.science/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ/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":"2026-05-19T10:15:04Z","links":{"resolver":"https://pith.science/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ","bundle":"https://pith.science/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ/bundle.json","state":"https://pith.science/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IE7WDZU4ROIILRKKQ37EBMOJPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IE7WDZU4ROIILRKKQ37EBMOJPZ","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":"6ab6e4a552def364475501c79c8346b6c6147600321586bebd8d5060e15c11b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-11-03T22:26:10Z","title_canon_sha256":"d7621e9b27e047ddd364a8b8a5d68dcedb5e428996e32eaee25096e5137f6805"},"schema_version":"1.0","source":{"id":"1011.1026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1026","created_at":"2026-05-18T04:37:09Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1026v1","created_at":"2026-05-18T04:37:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1026","created_at":"2026-05-18T04:37:09Z"},{"alias_kind":"pith_short_12","alias_value":"IE7WDZU4ROII","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IE7WDZU4ROIILRKK","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IE7WDZU4","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:a010e81e1b013d2d90f9a255093098da25d81a5bef01b2eda1d86eea94d11381","target":"graph","created_at":"2026-05-18T04:37:09Z","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":"The performance of the Lasso is well understood under the assumptions of the standard linear model with homoscedastic noise. However, in several applications, the standard model does not describe the important features of the data. This paper examines how the Lasso performs on a non-standard model that is motivated by medical imaging applications. In these applications, the variance of the noise scales linearly with the expectation of the observation. Like all heteroscedastic models, the noise terms in this Poisson-like model are \\textit{not} independent of the design matrix.\n  More specifical","authors_text":"Bin Yu, Jinzhu Jia, Karl Rohe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-11-03T22:26:10Z","title":"The Lasso under Heteroscedasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1026","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:dc2d0e42cd1a8180114e3848ce85000bdcf76ef52e80c4ddb3a4fbf1c475f5f5","target":"record","created_at":"2026-05-18T04:37:09Z","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":"6ab6e4a552def364475501c79c8346b6c6147600321586bebd8d5060e15c11b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-11-03T22:26:10Z","title_canon_sha256":"d7621e9b27e047ddd364a8b8a5d68dcedb5e428996e32eaee25096e5137f6805"},"schema_version":"1.0","source":{"id":"1011.1026","kind":"arxiv","version":1}},"canonical_sha256":"413f61e69c8b9085c54a86fe40b1c97e45daa6e3422c32e457343315ef4735c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"413f61e69c8b9085c54a86fe40b1c97e45daa6e3422c32e457343315ef4735c2","first_computed_at":"2026-05-18T04:37:09.751568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:09.751568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OaWl1IRoBHYrC2XlcHRAQjmy+MdXiCiBEu7/UbBLvdSFUpEr85o2f+qlR115Xnz8QemOdcJ/Ke6zSbUVkw3vBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:09.752055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc2d0e42cd1a8180114e3848ce85000bdcf76ef52e80c4ddb3a4fbf1c475f5f5","sha256:a010e81e1b013d2d90f9a255093098da25d81a5bef01b2eda1d86eea94d11381"],"state_sha256":"a5615bbd3983d83a350654de2336fefb862abf9d6fb87877c1cfe5dd9c0bd4b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XY9nZQifyBaU3ENxm1bEvJ5CVoR0vP6HgtnaBbvyPeHcorUbN1Dqoc3Z7M0QsuxrOr6yUA98PiU+YAwYjZL8AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T10:15:04.867766Z","bundle_sha256":"e7a82f16fbccef06d6c6d2254ebf1394dbba1aaeceef920ca5022e2a6267a20a"}}