{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:U6ME37BGXRB3NNXMF5BSBI5UUS","short_pith_number":"pith:U6ME37BG","canonical_record":{"source":{"id":"1704.02534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-08T20:17:26Z","cross_cats_sorted":[],"title_canon_sha256":"07244eb71571b10196de1184fdf7fde753de57ed17bf3b9879a2691da05a260c","abstract_canon_sha256":"28343c699320509ce1596f3b644db18612a7e419c3192720ea8d3ebc11853d9e"},"schema_version":"1.0"},"canonical_sha256":"a7984dfc26bc43b6b6ec2f4320a3b4a4a5e18ba567a4e6b7cdbc60914cb3facc","source":{"kind":"arxiv","id":"1704.02534","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02534","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02534v1","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02534","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"U6ME37BGXRB3","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6ME37BGXRB3NNXM","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6ME37BG","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:U6ME37BGXRB3NNXMF5BSBI5UUS","target":"record","payload":{"canonical_record":{"source":{"id":"1704.02534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-08T20:17:26Z","cross_cats_sorted":[],"title_canon_sha256":"07244eb71571b10196de1184fdf7fde753de57ed17bf3b9879a2691da05a260c","abstract_canon_sha256":"28343c699320509ce1596f3b644db18612a7e419c3192720ea8d3ebc11853d9e"},"schema_version":"1.0"},"canonical_sha256":"a7984dfc26bc43b6b6ec2f4320a3b4a4a5e18ba567a4e6b7cdbc60914cb3facc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:45.206660Z","signature_b64":"JDkj4DkvgfxEkiyKuAnLjYYKvrY0avKLXeGjj1RQ6sInsLxNEK85z1l+SIX/fYFRTxV5+qPp2D7J5zIxSZBOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7984dfc26bc43b6b6ec2f4320a3b4a4a5e18ba567a4e6b7cdbc60914cb3facc","last_reissued_at":"2026-05-18T00:46:45.205930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:45.205930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.02534","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":"2026-05-18T00:46:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ugNKk2nkbUq1O4O8f8JFOGkNBEdz/cvSIrzgOv3XVv3x8vPRYHQOZ9JkwrcriS5kEPkVb2ZjU2mWm1ambH7fDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:48:14.899832Z"},"content_sha256":"644301fde8ac4b699a3c3ecf650edf390496a61f0ad8e405622e4527404f69af","schema_version":"1.0","event_id":"sha256:644301fde8ac4b699a3c3ecf650edf390496a61f0ad8e405622e4527404f69af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:U6ME37BGXRB3NNXMF5BSBI5UUS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noisy Tensor Completion for Tensors with a Sparse Canonical Polyadic Factor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Alexander Gutierrez, Jarvis Haupt, Swayambhoo Jain","submitted_at":"2017-04-08T20:17:26Z","abstract_excerpt":"In this paper we study the problem of noisy tensor completion for tensors that admit a canonical polyadic or CANDECOMP/PARAFAC (CP) decomposition with one of the factors being sparse. We present general theoretical error bounds for an estimate obtained by using a complexity-regularized maximum likelihood principle and then instantiate these bounds for the case of additive white Gaussian noise. We also provide an ADMM-type algorithm for solving the complexity-regularized maximum likelihood problem and validate the theoretical finding via experiments on synthetic data set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02534","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":"2026-05-18T00:46:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WxmEZecyZ7Xf6uRhVC7oDeQQTc4gKehJ5HCZA1rLdR06q9L5uxkDUMpxM29p7ZFqC27f7juO2QtReeBtEGeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:48:14.900519Z"},"content_sha256":"388efc821b92d43f39b15347dd13a5ac3b5e21a09db9335cc692ebe664df63b4","schema_version":"1.0","event_id":"sha256:388efc821b92d43f39b15347dd13a5ac3b5e21a09db9335cc692ebe664df63b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6ME37BGXRB3NNXMF5BSBI5UUS/bundle.json","state_url":"https://pith.science/pith/U6ME37BGXRB3NNXMF5BSBI5UUS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6ME37BGXRB3NNXMF5BSBI5UUS/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":"2026-05-25T22:48:14Z","links":{"resolver":"https://pith.science/pith/U6ME37BGXRB3NNXMF5BSBI5UUS","bundle":"https://pith.science/pith/U6ME37BGXRB3NNXMF5BSBI5UUS/bundle.json","state":"https://pith.science/pith/U6ME37BGXRB3NNXMF5BSBI5UUS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6ME37BGXRB3NNXMF5BSBI5UUS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U6ME37BGXRB3NNXMF5BSBI5UUS","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":"28343c699320509ce1596f3b644db18612a7e419c3192720ea8d3ebc11853d9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-08T20:17:26Z","title_canon_sha256":"07244eb71571b10196de1184fdf7fde753de57ed17bf3b9879a2691da05a260c"},"schema_version":"1.0","source":{"id":"1704.02534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02534","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02534v1","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02534","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"U6ME37BGXRB3","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6ME37BGXRB3NNXM","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6ME37BG","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:388efc821b92d43f39b15347dd13a5ac3b5e21a09db9335cc692ebe664df63b4","target":"graph","created_at":"2026-05-18T00:46:45Z","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 problem of noisy tensor completion for tensors that admit a canonical polyadic or CANDECOMP/PARAFAC (CP) decomposition with one of the factors being sparse. We present general theoretical error bounds for an estimate obtained by using a complexity-regularized maximum likelihood principle and then instantiate these bounds for the case of additive white Gaussian noise. We also provide an ADMM-type algorithm for solving the complexity-regularized maximum likelihood problem and validate the theoretical finding via experiments on synthetic data set.","authors_text":"Alexander Gutierrez, Jarvis Haupt, Swayambhoo Jain","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-08T20:17:26Z","title":"Noisy Tensor Completion for Tensors with a Sparse Canonical Polyadic Factor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02534","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":"sha256:644301fde8ac4b699a3c3ecf650edf390496a61f0ad8e405622e4527404f69af","target":"record","created_at":"2026-05-18T00:46:45Z","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":"28343c699320509ce1596f3b644db18612a7e419c3192720ea8d3ebc11853d9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-08T20:17:26Z","title_canon_sha256":"07244eb71571b10196de1184fdf7fde753de57ed17bf3b9879a2691da05a260c"},"schema_version":"1.0","source":{"id":"1704.02534","kind":"arxiv","version":1}},"canonical_sha256":"a7984dfc26bc43b6b6ec2f4320a3b4a4a5e18ba567a4e6b7cdbc60914cb3facc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7984dfc26bc43b6b6ec2f4320a3b4a4a5e18ba567a4e6b7cdbc60914cb3facc","first_computed_at":"2026-05-18T00:46:45.205930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:45.205930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JDkj4DkvgfxEkiyKuAnLjYYKvrY0avKLXeGjj1RQ6sInsLxNEK85z1l+SIX/fYFRTxV5+qPp2D7J5zIxSZBOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:45.206660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:644301fde8ac4b699a3c3ecf650edf390496a61f0ad8e405622e4527404f69af","sha256:388efc821b92d43f39b15347dd13a5ac3b5e21a09db9335cc692ebe664df63b4"],"state_sha256":"e9079c22b75939ae49f5853a52302529f34103c75083fba168b6f511680f881b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ML5IgHIF+1JSn7ymY0lk/WQ1iRNa4Dr3DG7t97KQdQ8QvA36aKtqFkIfFPtLndqYKUXMEXkrhBROvjU4gseRBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:48:14.904177Z","bundle_sha256":"ed1e4358b63f89c577b78c9c97546b37ddb512adcf666be73f65bc0e4e37ef54"}}