{"id":"W2915803484","doi":"10.1090/proc/14945","title":"Idempotent reduction for the finitistic dimension conjecture","year":2019,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Dimension (graph theory); Idempotence; Lambda; Quotient; Conjecture; Pure mathematics; Simple (philosophy); Algebra over a field; Combinatorics; 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":[0.0006393531,0.0004214676,0.0009616842,0.00001764855,0.0002678682,0.00009052316,0.001053052,0.000245294,0.00001996684],"category_scores_gemma":[0.001096562,0.0002213137,0.00120636,0.0002004646,0.0006884167,0.0000421968,0.001085988,0.000808718,0.000002896014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001405957,"about_ca_system_score_gemma":0.00009496384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001776479,"about_ca_topic_score_gemma":8.191477e-8,"domain_scores_codex":[0.9977987,0.00001775163,0.0006674628,0.0004878142,0.000656633,0.0003715722],"domain_scores_gemma":[0.9961432,0.001267263,0.001619133,0.0005200391,0.0003852563,0.00006511722],"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":[0.00006957875,0.0001268242,0.00003545993,0.002979334,0.0005823888,3.920339e-8,0.002326126,0.000111513,0.0008104354,0.9640704,0.02840324,0.0004847065],"study_design_scores_gemma":[0.0002632919,0.00009914107,0.00009014614,0.0004308241,0.0006356066,0.00001290371,0.001385937,0.005796687,0.001185842,0.9896999,0.0001315819,0.0002681631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9696481,0.0002602881,0.01586713,0.006360595,0.001980983,0.004850969,0.00006790056,0.0001707482,0.0007932421],"genre_scores_gemma":[0.9782195,0.00007055023,0.02032509,0.0002039995,0.0004528482,0.0002600307,0.000002400592,0.00008206902,0.0003834814],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02827166,"threshold_uncertainty_score":0.9024912,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03211064240259788,"score_gpt":0.2979893541120271,"score_spread":0.2658787117094293,"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."}}