{"id":"W3198982861","doi":"10.14231/ag-2021-023","title":"Essential dimension of extensions of finite groups by tori","year":2021,"lang":"en","type":"article","venue":"Algebraic geometry","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of British Columbia","keywords":"Dimension (graph theory); Torus; Mathematics; Pure mathematics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003467963,0.0001969869,0.0006160035,0.0001745095,0.00007646344,0.000004984537,0.0002383408,0.0003074852,0.00159489],"category_scores_gemma":[0.001683495,0.0001919616,0.0002031486,0.0006740346,0.0003177632,0.00006857247,0.0002410071,0.0002525997,0.00003032397],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001619425,"about_ca_system_score_gemma":0.0000999472,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002405761,"about_ca_topic_score_gemma":0.0000130812,"domain_scores_codex":[0.9981298,0.0002011165,0.0006676895,0.0003575293,0.0003051073,0.0003387311],"domain_scores_gemma":[0.997137,0.001501744,0.0003148981,0.0006942464,0.0002557746,0.00009640636],"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":[0.00009024543,0.001700974,0.005811779,0.0004465858,0.0005665896,0.0002009209,0.001192588,0.000005704534,0.2635618,0.6999675,0.02369021,0.002765089],"study_design_scores_gemma":[0.001344887,0.0003238612,0.002569254,0.0001183611,0.00028622,0.000186299,0.0008703484,0.00004327034,0.4809752,0.51157,0.001313458,0.0003987868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9933164,0.0009875433,0.002986231,0.0004981855,0.0007309238,0.0001179134,0.00004222611,0.00004725836,0.001273314],"genre_scores_gemma":[0.9953369,0.00007764188,0.002965038,0.0001958445,0.00007630546,0.000008394657,0.00004844133,0.00002721602,0.001264226],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2174134,"threshold_uncertainty_score":0.9993178,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01532006714148924,"score_gpt":0.2790112891673237,"score_spread":0.2636912220258344,"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."}}