{"id":"W4285732454","doi":"10.3390/sym14071460","title":"The Minimum-Norm Least Squares Solutions to Quaternion Tensor Systems","year":2022,"lang":"en","type":"article","venue":"Symmetry","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"China Scholarship Council; National Natural Science Foundation of China","keywords":"Quaternion; Norm (philosophy); Mathematics; Tensor (intrinsic definition); Least-squares function approximation; Pure mathematics; Geometry","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":[0.0013445,0.001012889,0.0006306025,0.000475497,0.0003736209,0.0008790646,0.0007115043,0.000946254,0.003237629],"category_scores_gemma":[0.005330747,0.0004029502,0.00056546,0.0005338694,0.001028867,0.001756983,0.0007260844,0.00103463,0.0009009792],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003024571,"about_ca_system_score_gemma":0.0008004947,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001131465,"about_ca_topic_score_gemma":0.0009582626,"domain_scores_codex":[0.9995176,0.0001995611,0.00002572904,0.00008742324,0.0001398364,0.00002982834],"domain_scores_gemma":[0.9990829,0.0004829224,0.0001149168,0.00008903891,0.0001996633,0.00003053552],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001138425,0.00006473665,0.0007333371,0.0003931904,0.00005395487,0.000168008,0.0003236212,0.6746638,0.01348739,0.2080377,0.003217674,0.09874276],"study_design_scores_gemma":[0.00001115968,0.00003770712,0.00009598596,0.00001728191,0.000004758277,0.00006408939,0.00006840561,0.9504085,0.00361934,0.04359562,0.00206224,0.00001485024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.009537974,0.0001113683,0.988112,0.0001569405,0.00003119844,0.00002056233,0.00002497054,0.00007714344,0.001927871],"genre_scores_gemma":[0.1980089,0.0003556915,0.7964492,0.00008201684,0.0000520789,0.0000918115,0.0001788937,0.0002004711,0.004580847],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003237629,"threshold_uncertainty_score":0.01083094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0511561823783001,"score_gpt":0.3130702990485122,"score_spread":0.2619141166702121,"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."}}