{"id":"W4321650102","doi":"10.48550/arxiv.2302.11493","title":"A frame based approach to computing symmetries with non-trivial isotropy groups","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; St. Francis Xavier University","keywords":"Homogeneous space; Symmetry (geometry); Connection (principal bundle); Group (periodic table); Dimension (graph theory); Isotropy; Symmetry group; Einstein; Frame (networking); Spin connection; Theoretical physics; Mathematics; Mathematical physics; Physics; Pure mathematics; Gravitation; Classical mechanics; Geometry; Computer science; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007425262,0.0005068813,0.0006187317,0.001330994,0.0007504799,0.001255584,0.001057837,0.0006576768,0.005948776],"category_scores_gemma":[0.002167685,0.0003189192,0.0008247776,0.0008789678,0.001392848,0.002524555,0.001053195,0.0008532384,0.0009747768],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000597022,"about_ca_system_score_gemma":0.0005146175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009729586,"about_ca_topic_score_gemma":0.001625555,"domain_scores_codex":[0.9996039,0.0001106982,0.0000335702,0.00009046373,0.0001014379,0.00005992045],"domain_scores_gemma":[0.9994216,0.0001818181,0.00007491447,0.000163738,0.0001116682,0.00004630831],"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":[0.00008109419,0.00004677233,0.001090651,0.000115951,0.00002837515,0.0002118827,0.0003053421,0.03449563,0.008639169,0.8769931,0.002136231,0.07585581],"study_design_scores_gemma":[0.00002482304,0.000107409,0.0004265655,0.00002619316,0.00001801824,0.0001340719,0.0001357607,0.1792056,0.006561626,0.8049266,0.008408662,0.000024739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03334892,0.00008731377,0.9598712,0.0000895077,0.00002334209,0.00003502793,0.0001280244,0.0002597107,0.006156978],"genre_scores_gemma":[0.3310832,0.0002018249,0.6646739,0.00006504058,0.00008510278,0.00008153141,0.0005032388,0.000172337,0.003133863],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005948776,"threshold_uncertainty_score":0.01990068,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07867070618376176,"score_gpt":0.2205122644668137,"score_spread":0.1418415582830519,"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."}}