{"id":"W4167695","doi":"10.1023/a:1022624723429","title":"Test Rank for Some Free Polynilpotent Groups","year":2003,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Rank (graph theory); Combinatorics; Group (periodic table); Physics","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":[0.0003119424,0.0001671392,0.0002823175,0.0001159796,0.0001473826,0.00002434476,0.0001607345,0.0001085954,0.0002447375],"category_scores_gemma":[0.002352096,0.0001293366,0.00009064591,0.0001772289,0.000101953,0.00007193183,0.00004913592,0.0001027564,0.0000280746],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001290061,"about_ca_system_score_gemma":0.00002114304,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005732601,"about_ca_topic_score_gemma":0.000004547171,"domain_scores_codex":[0.998983,0.00003922773,0.0002350315,0.0002694222,0.0001065163,0.0003667902],"domain_scores_gemma":[0.9982476,0.001227025,0.00008062502,0.0003094347,0.00003033784,0.0001049876],"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":[0.000006332865,0.0001213626,0.0009535468,0.00004524118,0.00002379254,0.000007360115,0.00007176905,1.066338e-7,0.0001131086,0.9897277,0.007521514,0.001408136],"study_design_scores_gemma":[0.001220106,0.0002752753,0.001336523,0.000005884221,0.00005148803,0.00006631498,0.0001717459,0.00001130635,0.0004814935,0.9901198,0.006079366,0.0001806595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9628256,0.00446723,0.01571129,0.004067309,0.0007337303,0.00101081,0.00004471234,0.0002497333,0.01088959],"genre_scores_gemma":[0.989482,0.00008536439,0.007157878,0.001103897,0.0001302623,0.00004813637,0.000004096468,0.00002130196,0.001967043],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02665642,"threshold_uncertainty_score":0.5274193,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03667632316744775,"score_gpt":0.2729862119843219,"score_spread":0.2363098888168741,"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."}}