{"id":"W2186988542","doi":"10.46298/dmtcs.2857","title":"Generalized Ehrhart polynomials","year":2010,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"National Defense Science and Engineering Graduate; National Science Foundation","keywords":"Mathematics; Combinatorics; Conjecture; Polytope; Diophantine equation; Lattice (music); Polynomial; Diophantine approximation; 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":["metaepi_narrow","sts","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.005602679,0.001219904,0.001714239,0.0004458451,0.001157212,0.001355114,0.004132336,0.0006525353,0.003341925],"category_scores_gemma":[0.004106744,0.00109703,0.0005849135,0.001835209,0.01345417,0.001119692,0.002354814,0.001889931,0.001331164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002089795,"about_ca_system_score_gemma":0.0005827897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007788822,"about_ca_topic_score_gemma":0.000005963207,"domain_scores_codex":[0.9908993,0.0002854632,0.002188708,0.001625491,0.002521107,0.002479934],"domain_scores_gemma":[0.9902728,0.002991428,0.0009050918,0.003554067,0.0008996412,0.001376949],"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":[0.0000200069,0.0008644186,0.000005918901,0.0006817306,0.00006624357,0.00004913617,0.002894328,0.00002168388,0.01115763,0.9795515,0.001050724,0.003636687],"study_design_scores_gemma":[0.0008900637,0.0002348502,0.000004880753,0.0004534814,0.0002174765,0.0002804644,0.0001203042,0.1930744,0.01134095,0.7898753,0.002442126,0.001065686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1253117,0.0002735907,0.8245996,0.00481737,0.01866766,0.001796549,0.00009817418,0.0005832328,0.02385208],"genre_scores_gemma":[0.2741349,0.00003485012,0.7222151,0.0003319881,0.001885902,0.00006023263,0.000005967138,0.0001923941,0.001138755],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1930527,"threshold_uncertainty_score":0.9996816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01840018338090443,"score_gpt":0.301137542326428,"score_spread":0.2827373589455235,"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."}}