{"id":"W4388312456","doi":"10.1016/j.jpaa.2023.107556","title":"Refined multiplicative tensor product of matrix factorizations","year":2023,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Multiplicative function; Factorization; Factorization of polynomials; Polynomial matrix; Matrix (chemical analysis); Algebra over a field; Product (mathematics); Tensor product; Tensor (intrinsic definition); Class (philosophy); Matrix multiplication; Dixon's factorization method; Pure mathematics; Algorithm; Polynomial; Matrix polynomial; Mathematical analysis; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002774822,0.0001332214,0.0003651775,0.0001732838,0.00006825312,0.00001409714,0.0001769478,0.0000629592,0.00003435272],"category_scores_gemma":[0.0004381081,0.0001023612,0.0000741057,0.0004137294,0.00007137483,0.00009073964,0.0000673559,0.0002365082,0.000009563902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002018859,"about_ca_system_score_gemma":0.00004156546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.172591e-7,"about_ca_topic_score_gemma":9.330683e-7,"domain_scores_codex":[0.9988529,0.00002071158,0.0005494208,0.0001449408,0.0002688864,0.0001631495],"domain_scores_gemma":[0.9985476,0.0003350725,0.0006153012,0.0002262798,0.0001996647,0.00007608849],"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":[0.00006094635,0.0001406958,0.0004868761,0.0001946283,0.0001582278,0.000009914442,0.001480471,0.00003057323,0.07839329,0.9101074,0.004696825,0.004240126],"study_design_scores_gemma":[0.0008471907,0.0000917407,0.002837544,0.00006580372,0.00009311767,0.00003418585,0.0007640991,0.00001862112,0.05669097,0.9347115,0.003669323,0.0001759092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9887654,0.0001701778,0.007886747,0.001250957,0.0001794675,0.0003536519,0.00002465991,0.00006799005,0.001300961],"genre_scores_gemma":[0.9645921,0.0001011182,0.03417545,0.00003053005,0.0003152314,0.00000944496,0.000003851871,0.00003040372,0.0007418965],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02628871,"threshold_uncertainty_score":0.4174168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03768696608071261,"score_gpt":0.3280377515888768,"score_spread":0.2903507855081642,"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."}}