{"id":"W3180803402","doi":"10.37236/10582","title":"Integer Decomposition Property of Polytopes","year":2024,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Polytope; Decomposition; Integer (computer science); Property (philosophy); Polytope model; Mathematics; Integer factorization; Combinatorics; Computer science; Chemistry; Philosophy","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":[0.0004455965,0.0006410033,0.0005299154,0.001630001,0.0008233324,0.002360371,0.0006236875,0.0004437806,0.006001499],"category_scores_gemma":[0.001619354,0.0003042943,0.0006194586,0.0008811636,0.001882002,0.002257725,0.001225232,0.001684449,0.0005226202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000799095,"about_ca_system_score_gemma":0.0002679078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009432678,"about_ca_topic_score_gemma":0.0006286537,"domain_scores_codex":[0.9995279,0.00007316202,0.00001490371,0.00009041536,0.0001634591,0.0001301023],"domain_scores_gemma":[0.9990253,0.000400094,0.0001698076,0.00007407094,0.0001166118,0.0002140756],"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":[0.00009324429,0.00006057392,0.001534862,0.0000997766,0.00001731825,0.0002259041,0.0002207341,0.01434728,0.005637897,0.9673688,0.001656464,0.008737188],"study_design_scores_gemma":[0.00006298529,0.0001219078,0.002778197,0.00005465831,0.00002731479,0.0005500712,0.0004943805,0.1283858,0.005545876,0.8528627,0.00907141,0.00004472076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7291735,0.0008398832,0.2071867,0.0005693602,0.0001038521,0.0000520541,0.0004355653,0.000146534,0.06149248],"genre_scores_gemma":[0.9682248,0.0004892703,0.02065685,0.000076228,0.0001154985,0.00006198398,0.0006229632,0.00005399857,0.009698433],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006001499,"threshold_uncertainty_score":0.02007705,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02553030738263041,"score_gpt":0.3303483906337839,"score_spread":0.3048180832511535,"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."}}