{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2ZOQIAVH73TJ7FJL6DOY65QLFA","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":"d0fd048fb782d1c75df8b64c4ed06babdcb406302c06b8af312ef38e43e49bad","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-28T13:57:48Z","title_canon_sha256":"16812e24a9013066c4eae9f8ffe010cc5145ceff95d9ca6a6defc0cb3ecd08ad"},"schema_version":"1.0","source":{"id":"1806.10976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10976","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10976v1","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10976","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"2ZOQIAVH73TJ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2ZOQIAVH73TJ7FJL","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2ZOQIAVH","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:0f11923ff75f3d49c7c949014e1f4695b99a029ef5b5c2680852aaa807f4b7c1","target":"graph","created_at":"2026-05-17T23:42:30Z","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":"We consider the problem of designing sparse sampling strategies for multidomain signals, which can be represented using tensors that admit a known multilinear decomposition. We leverage the multidomain structure of tensor signals and propose to acquire samples using a Kronecker-structured sensing function, thereby circumventing the curse of dimensionality. For designing such sensing functions, we develop low-complexity greedy algorithms based on submodular optimization methods to compute near-optimal sampling sets. We present several numerical examples, ranging from multi-antenna communication","authors_text":"Geert Leus, Guillermo Ortiz-Jim\\'enez, Mario Coutino, Sundeep Prabhakar Chepuri","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-28T13:57:48Z","title":"Sparse Sampling for Inverse Problems with Tensors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10976","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":"sha256:58875e42f17b2bf0a56cc96a7a4186e9ff742c2976d0d3ce502994baa8eed223","target":"record","created_at":"2026-05-17T23:42:30Z","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":"d0fd048fb782d1c75df8b64c4ed06babdcb406302c06b8af312ef38e43e49bad","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-28T13:57:48Z","title_canon_sha256":"16812e24a9013066c4eae9f8ffe010cc5145ceff95d9ca6a6defc0cb3ecd08ad"},"schema_version":"1.0","source":{"id":"1806.10976","kind":"arxiv","version":1}},"canonical_sha256":"d65d0402a7fee69f952bf0dd8f760b283b207dd93267c623885ed027f5ff8cd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d65d0402a7fee69f952bf0dd8f760b283b207dd93267c623885ed027f5ff8cd7","first_computed_at":"2026-05-17T23:42:30.277884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:30.277884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QFBIwDFdDI5pR9Xxj+yoBY1g6/I9XiAqtXvXOgjfce0v2bq5WPi/NoU3iqhv9LGv9fJ3Ff+CwzSqXQn7DPDSBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:30.278464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58875e42f17b2bf0a56cc96a7a4186e9ff742c2976d0d3ce502994baa8eed223","sha256:0f11923ff75f3d49c7c949014e1f4695b99a029ef5b5c2680852aaa807f4b7c1"],"state_sha256":"42d3793c61f64de86ac5119b556ff5727ed8936d767f1f191b7963a42e0ad176"}