{"id":"W3124003323","doi":"10.1017/fms.2022.73","title":"The isomorphism problem for tensor algebras of multivariable dynamical systems","year":2022,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"MacEwan University","funders":"National Science Foundation","keywords":"Mathematics; Invariant (physics); Conjecture; Tensor (intrinsic definition); Unitary state; Isomorphism (crystallography); Equivalence (formal languages); Pure mathematics; Multivariable calculus; Dynamical systems theory; Tensor algebra; Algebra over a field; Subalgebra; Mathematical physics; Physics; Division algebra; Quantum mechanics; Chemistry","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":[0.001900293,0.0002325563,0.0006515254,0.0001107988,0.0005256133,0.00003290152,0.0008898137,0.00008222427,0.00008807654],"category_scores_gemma":[0.001558229,0.0001681879,0.000213635,0.0003235566,0.0002164273,0.00009061073,0.0005178363,0.0003063752,0.000004367096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001477293,"about_ca_system_score_gemma":0.0001456434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001649316,"about_ca_topic_score_gemma":0.000008169645,"domain_scores_codex":[0.99691,0.0001489629,0.001116892,0.0002779501,0.000950155,0.0005960134],"domain_scores_gemma":[0.9937978,0.004204524,0.0006572622,0.0008615428,0.0003911668,0.00008771172],"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":[0.00008192861,0.0007206968,0.00008196427,0.001608087,0.0001602733,0.000002015726,0.0007726087,0.001233123,0.006408338,0.9828683,0.005879728,0.0001829593],"study_design_scores_gemma":[0.001659844,0.0007693052,0.000004973719,0.0001773659,0.00008972097,0.00004523363,0.01034562,0.1526373,0.00613047,0.8225201,0.005288961,0.0003311392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3405787,0.00173461,0.6244723,0.003602097,0.001213471,0.01906652,0.001921075,0.0004238785,0.006987351],"genre_scores_gemma":[0.7615457,0.0000149997,0.2315987,0.00002374709,0.00005153047,0.001929172,0.000023267,0.000171288,0.004641576],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.420967,"threshold_uncertainty_score":0.6858503,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03478866770464768,"score_gpt":0.3166069548274451,"score_spread":0.2818182871227974,"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."}}