{"id":"W2963237294","doi":"10.1142/s0219199719500275","title":"Random polytopes obtained by matrices with heavy-tailed entries","year":2019,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Quotient; Preprint; Combinatorics; Random matrix; Polytope; Matrix (chemical analysis); Ball (mathematics); Discrete mathematics; Geometry; Eigenvalues and eigenvectors","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":[0.0001977593,0.000177386,0.0003318644,0.0001315397,0.00006140232,0.00006660616,0.0007236184,0.00007174387,0.00002317801],"category_scores_gemma":[0.00002701371,0.0001529419,0.00003896084,0.0002752085,0.00008774799,0.0002103423,0.000134351,0.0002138246,0.00004082782],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003941966,"about_ca_system_score_gemma":0.00003429322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002076958,"about_ca_topic_score_gemma":0.00001475635,"domain_scores_codex":[0.9991613,0.00006208668,0.0003711781,0.0001182363,0.0001294575,0.0001577357],"domain_scores_gemma":[0.9978535,0.0004540904,0.0000892373,0.001512886,0.00005474527,0.00003552849],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001744759,0.006862688,0.1476972,0.004573392,0.00307304,0.0001325385,0.05087493,0.01537765,0.07463192,0.1492075,0.5239695,0.02185485],"study_design_scores_gemma":[0.01353775,0.0005481906,0.0005761197,0.005218734,0.000157476,0.0001042422,0.008747345,0.5973372,0.08299375,0.02682505,0.2606291,0.00332509],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6009493,0.05048188,0.05901317,0.00204218,0.0002449172,0.00367384,0.00007741712,0.003851388,0.2796659],"genre_scores_gemma":[0.9720669,0.0007864017,0.02663724,0.000050017,0.000007423796,0.0000627629,0.00004008317,0.00004079237,0.0003084124],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5819595,"threshold_uncertainty_score":0.6236791,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03328655870174676,"score_gpt":0.2632422557884623,"score_spread":0.2299556970867156,"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."}}