{"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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.003171623,0.0002424874,0.0004869132,0.0001856307,0.000150506,0.00004207067,0.0006790085,0.0001195812,0.0003991008],"category_scores_gemma":[0.004335325,0.0002266284,0.0001250429,0.0009487269,0.004592055,0.0002614909,0.0001716841,0.000226967,0.00006165247],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001362637,"about_ca_system_score_gemma":0.000324341,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001280701,"about_ca_topic_score_gemma":3.846472e-7,"domain_scores_codex":[0.9964808,0.0003803908,0.0008168604,0.0004183202,0.001470072,0.0004335703],"domain_scores_gemma":[0.9943119,0.0037351,0.0003286918,0.000737421,0.0007063791,0.000180566],"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":[0.00002622095,0.0006666778,0.000007162811,0.0002222856,0.00001501267,0.000002203403,0.001341298,0.001591716,0.001055606,0.99331,0.00005165534,0.001710163],"study_design_scores_gemma":[0.0005130869,0.0005316819,0.00001269626,0.0003421015,0.00004691726,0.00001055943,0.0000357921,0.1160365,0.03701786,0.8452542,0.00002563267,0.0001729673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1392712,0.00008677529,0.8516383,0.0004313207,0.001826094,0.0004028754,0.00001040764,0.00002503871,0.006308095],"genre_scores_gemma":[0.7918233,0.000005696628,0.2079564,0.00004369645,0.00006469705,0.000004113283,9.382582e-7,0.00001727468,0.00008382602],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6525521,"threshold_uncertainty_score":0.9981169,"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."}}