{"id":"W4399422829","doi":"10.4310/cntp.2024.v18.n1.a4","title":"Spectral geometry of functional metrics on noncommutative tori","year":2024,"lang":"en","type":"article","venue":"Communications in Number Theory and Physics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Noncommutative geometry; Mathematics; Geometry; Noncommutative algebraic geometry; Torus; Pure mathematics; Noncommutative quantum field theory; 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":[0.0007819336,0.0001053939,0.0001684681,0.00008743661,0.0001066455,0.00002869228,0.0003642358,0.00004918971,0.0002934033],"category_scores_gemma":[0.0005677305,0.00009719175,0.00005140337,0.001034898,0.0002929717,0.0001608965,0.000251772,0.0005131882,0.00004190996],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007856044,"about_ca_system_score_gemma":0.00005486144,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003290877,"about_ca_topic_score_gemma":0.000005045298,"domain_scores_codex":[0.998928,0.000404904,0.0002150046,0.0001420273,0.0001794835,0.0001306029],"domain_scores_gemma":[0.9900602,0.008938766,0.00003992601,0.000847656,0.000078409,0.00003508588],"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":[0.00003560306,0.0002194432,0.0002877081,0.00006678349,0.00004519667,0.000001186545,0.001357657,0.00003009704,0.00007214137,0.9880143,0.0004677868,0.00940211],"study_design_scores_gemma":[0.0001492007,0.00003572947,0.0002872656,0.0001176854,0.00001452545,0.000003343215,0.0007927881,0.001243834,0.0008155391,0.9950508,0.001389047,0.0001002413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7155454,0.004238266,0.1216885,0.0009437272,0.0005397819,0.001067376,0.0008938087,0.0002942026,0.1547889],"genre_scores_gemma":[0.9865635,0.0002424861,0.01257401,0.00003093843,0.0000551074,0.0000434349,0.0000454657,0.00002306891,0.0004219981],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2710181,"threshold_uncertainty_score":0.3963365,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09217510999971246,"score_gpt":0.4183745241595763,"score_spread":0.3261994141598639,"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."}}