{"id":"W2787536425","doi":"10.1215/17358787-2019-0009","title":"On uniform connectivity of algebraic matrix sets","year":2019,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; University of Toronto","keywords":"Combinatorics; Mathematics; Matrix (chemical analysis); Algebraic number; Mathematical analysis","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":[0.001781004,0.0002250359,0.001502404,0.001268186,0.00003876647,0.00001779895,0.0004281211,0.0001531655,0.00489136],"category_scores_gemma":[0.002260961,0.000154905,0.000970853,0.001869868,0.0001025158,0.0001180035,0.00006939467,0.0003456133,0.0001549727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006434423,"about_ca_system_score_gemma":0.00006735795,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005940172,"about_ca_topic_score_gemma":0.000004260723,"domain_scores_codex":[0.9973016,0.0001701725,0.001242276,0.0001937158,0.0007875395,0.0003046442],"domain_scores_gemma":[0.9944679,0.003398655,0.001156273,0.0004851235,0.0003170745,0.0001749918],"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":[0.0001204721,0.00127114,0.004307536,0.0004206265,0.004251385,0.00004044976,0.0003545177,0.0003181713,0.0001999065,0.9866073,0.001061565,0.001046914],"study_design_scores_gemma":[0.000954915,0.0006132034,0.002334266,0.00009942952,0.002719627,0.0001060943,0.0004326424,0.002669019,0.000780438,0.9890258,0.00005072985,0.000213811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9601418,0.0000812656,0.03471229,0.0004227075,0.00007290442,0.0001330383,0.000008893552,0.00001443219,0.004412654],"genre_scores_gemma":[0.9884782,0.00001126544,0.01061028,0.00004517197,0.00003280807,0.000001254558,0.000001397281,0.00001838642,0.0008012526],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02833637,"threshold_uncertainty_score":0.9960183,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02083011116424012,"score_gpt":0.3119375040844142,"score_spread":0.2911073929201741,"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."}}