{"id":"W4380877010","doi":"10.5817/cz.muni.eurocomb23-025","title":"A resolution of the Kohayakawa--Kreuter conjecture for the majority of cases","year":2023,"lang":"en","type":"article","venue":"","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Leverhulme Trust; UK Research and Innovation","keywords":"Conjecture; Combinatorics; Statement (logic); Monochromatic color; Bipartite graph; Mathematics; Resolution (logic); Upper and lower bounds; Function (biology); Property (philosophy); Discrete mathematics; Physics; Computer science; Graph; Mathematical analysis; Optics; Law; Artificial intelligence; 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":[0.0004187882,0.00007297887,0.0001379389,0.00002866912,0.0001639527,0.00000465463,0.0002601303,0.000065366,0.00006016238],"category_scores_gemma":[0.0006265268,0.00003011312,0.0001670342,0.0001914869,0.0001690955,0.00001917966,0.0001286234,0.00007417619,5.134612e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000611101,"about_ca_system_score_gemma":0.00001657339,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003891679,"about_ca_topic_score_gemma":0.00007554888,"domain_scores_codex":[0.999397,0.00005558434,0.0001996234,0.00008544212,0.0001434864,0.0001188208],"domain_scores_gemma":[0.9973181,0.002047848,0.0001130786,0.000440007,0.00006966951,0.00001129186],"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":[0.0000383132,0.00001385753,0.0003681734,0.0001443438,0.0000627968,5.161987e-7,0.0009419464,0.00001815932,0.0003730492,0.9736792,0.02388418,0.0004754683],"study_design_scores_gemma":[0.0003041318,0.00005583524,0.003672357,0.00002923921,0.00008836103,0.00001251125,0.0005618941,0.0007236171,0.01097968,0.9791641,0.004342952,0.00006531286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9878055,0.0001686888,0.003269603,0.001723613,0.0009420679,0.001077394,0.0001776099,0.00008834717,0.004747148],"genre_scores_gemma":[0.9973662,0.00001167365,0.001046719,0.00008770092,0.00006851297,0.00001725298,0.000001217525,0.000009510901,0.001391164],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01954123,"threshold_uncertainty_score":0.1261008,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07162656052389471,"score_gpt":0.3312527566782414,"score_spread":0.2596261961543467,"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."}}