{"id":"W4402215578","doi":"10.1109/tsp.2024.3454115","title":"Revisiting High-Order Tensor Singular Value Decomposition From Basic Element Perspective","year":2024,"lang":"en","type":"article","venue":"IEEE Transactions on Signal Processing","topic":"Elasticity and Material Modeling","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"Polytechnique Montréal","funders":"Fundamental Research Funds for the Central Universities; Natural Science Foundation of Sichuan Province; China Postdoctoral Science Foundation; National Natural Science Foundation of China","keywords":"Singular value decomposition; Mathematics; Perspective (graphical); Order (exchange); Tensor (intrinsic definition); Element (criminal law); Singular value; Decomposition; Singular spectrum analysis; Value (mathematics); Applied mathematics; Mathematical optimization; Computer science; Algorithm; Pure mathematics; Geometry; Physics; Statistics; Eigenvalues and eigenvectors","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002587384,0.001974033,0.001052703,0.002179164,0.0006423405,0.003076889,0.001759564,0.001223857,0.004131378],"category_scores_gemma":[0.006788955,0.0006630635,0.00139811,0.002567614,0.002443917,0.005669949,0.002033608,0.003086339,0.003181397],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007075482,"about_ca_system_score_gemma":0.001586473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00241946,"about_ca_topic_score_gemma":0.002227772,"domain_scores_codex":[0.9980363,0.0004649971,0.0001692456,0.0004181893,0.0007840645,0.0001270967],"domain_scores_gemma":[0.9962828,0.0008319193,0.0002890903,0.0007848306,0.00157631,0.0002351339],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002481427,0.0001202424,0.002599658,0.000968703,0.000177939,0.0008596064,0.0008445372,0.09609411,0.04263918,0.5583057,0.01591269,0.2812294],"study_design_scores_gemma":[0.00001483234,0.0001281491,0.001021991,0.0001054533,0.00006140785,0.0004256387,0.0001706514,0.6296809,0.0142477,0.3103347,0.0437068,0.0001018038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004737107,0.0006060227,0.991572,0.0002551021,0.0002393398,0.00002049292,0.0001667836,0.0003061196,0.002096998],"genre_scores_gemma":[0.1100887,0.003797864,0.8752261,0.0004043597,0.0008690814,0.0001067576,0.001336334,0.0008068893,0.007363888],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004131378,"threshold_uncertainty_score":0.01382083,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01099185491798384,"score_gpt":0.2477643643417246,"score_spread":0.2367725094237408,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}