{"id":"W2003402352","doi":"10.1016/s0304-3975(01)00216-x","title":"On a valuation of rational subsets of Zk Dédié à Jean Berstel","year":2003,"lang":"fr","type":"article","venue":"Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Valuation (finance); Polyhedron; Rational function; Mathematics; Generalization; Rational number; Mathematical economics; Discrete mathematics; Combinatorics; Pure mathematics; Economics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009083205,0.001055386,0.001509326,0.002408523,0.002774242,0.005417714,0.000961048,0.0009733596,0.004846371],"category_scores_gemma":[0.003246115,0.0007711727,0.0009878945,0.00235736,0.00373162,0.006361867,0.002929583,0.002921212,0.0008072762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003838674,"about_ca_system_score_gemma":0.0006427924,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002401449,"about_ca_topic_score_gemma":0.001303601,"domain_scores_codex":[0.9990188,0.0002547381,0.00004896926,0.0001623613,0.0002891327,0.0002260238],"domain_scores_gemma":[0.9986205,0.0008374173,0.00009542725,0.0000839057,0.0001600146,0.0002027079],"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":[0.00009227968,0.00002611439,0.0004258842,0.00006004158,0.00001803983,0.0001527209,0.0002924771,0.0009556683,0.0008663386,0.9906844,0.00199673,0.004429374],"study_design_scores_gemma":[0.00005505183,0.00002535926,0.0009065408,0.00004539093,0.0000212987,0.0001763566,0.0002063474,0.002152169,0.0004709551,0.9833754,0.01254268,0.00002252631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6403749,0.01015994,0.06179355,0.01052692,0.001686136,0.00007950432,0.0007594894,0.0002400466,0.2743796],"genre_scores_gemma":[0.9647903,0.002938025,0.004993594,0.0003339637,0.0006780418,0.00004401581,0.0003321825,0.00008319486,0.02580671],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005417714,"threshold_uncertainty_score":0.02785164,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03894869809242119,"score_gpt":0.3125357313273392,"score_spread":0.273587033234918,"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."}}