{"id":"W2729288869","doi":"10.1017/nmj.2018.18","title":"A CONJECTURE ON -MATRICES OF CLUSTER ALGEBRAS","year":2018,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Conjecture; Cluster algebra; Sign (mathematics); Cluster (spacecraft); Principal (computer security); Coherence (philosophical gambling strategy)","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005978371,0.0002474431,0.0005326305,0.000145896,0.0001716701,0.00008160216,0.0004404632,0.000205877,0.001801444],"category_scores_gemma":[0.0009335718,0.0001628301,0.0002455481,0.0002052912,0.0002072195,0.0001063103,0.00008895059,0.00046282,0.0001154296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004746732,"about_ca_system_score_gemma":0.00007025122,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.83315e-7,"about_ca_topic_score_gemma":6.044218e-7,"domain_scores_codex":[0.9978753,0.0001108229,0.0007222693,0.0001996363,0.00073552,0.0003564738],"domain_scores_gemma":[0.9978952,0.0008581976,0.0004260165,0.0003814399,0.0002431851,0.0001959579],"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":[0.0001020217,0.0001762431,0.00001966945,0.000112489,0.00009991648,0.00001021505,0.0007853815,0.00000154418,0.00009999782,0.9910663,0.006387309,0.001138931],"study_design_scores_gemma":[0.0009253304,0.0005726634,0.00002409008,0.0002435886,0.00008328688,0.0003274974,0.0001075843,0.0002143255,0.002629112,0.9941766,0.0005160359,0.0001798691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9596612,0.00009368978,0.01882451,0.0008394992,0.001017811,0.0003111988,0.00000420189,0.00007173699,0.01917616],"genre_scores_gemma":[0.9871287,0.000008702615,0.01111407,0.0002699492,0.001159637,0.000004498327,3.111144e-7,0.00004000772,0.0002741612],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02746747,"threshold_uncertainty_score":0.9991111,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0296779149840788,"score_gpt":0.3186846486266464,"score_spread":0.2890067336425676,"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."}}