{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001555804,0.0001036413,0.0002568985,0.0002076776,0.00005024213,0.00004345024,0.0003190725,0.00004575822,0.00003282896],"category_scores_gemma":[0.0002985853,0.00004863251,0.0001466451,0.0006315277,0.00004384894,0.0001844199,0.00003616377,0.000487549,0.000003994507],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001601779,"about_ca_system_score_gemma":0.0004005782,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008050477,"about_ca_topic_score_gemma":0.000001677696,"domain_scores_codex":[0.9987198,0.0000809549,0.0005028666,0.00006296873,0.00035952,0.0002738702],"domain_scores_gemma":[0.998713,0.0005610576,0.0002536589,0.0001386598,0.0003039635,0.00002969952],"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":[0.00003560791,0.00009283549,0.000009865847,0.0002183695,0.0001362649,0.000005279794,0.0005960659,0.000004261997,0.0002895568,0.9953085,0.001824529,0.001478838],"study_design_scores_gemma":[0.0001954245,0.0005583843,0.000007172786,0.0001885184,0.0001036098,0.0002426833,0.0002885882,0.0001866597,0.007544637,0.9827706,0.007840906,0.00007287008],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7429767,0.05750728,0.1820343,0.00581785,0.002001287,0.0003554459,0.000006169229,0.00009171124,0.009209203],"genre_scores_gemma":[0.9973384,0.0009221698,0.00004185556,0.00002620559,0.000107594,0.000001491412,3.313366e-7,0.0000162812,0.001545643],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2543617,"threshold_uncertainty_score":0.2118185,"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."}}