{"id":"W3098551378","doi":"","title":"Invariant Gaussian processes and independent sets on regular graphs of large Girth","year":2015,"lang":"en","type":"article","venue":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Mathematics education","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"],"consensus_categories":[],"category_scores_codex":[0.002167992,0.0004096848,0.0009149522,0.0003437511,0.0003465356,0.00005426108,0.003331748,0.0005182388,0.00001303944],"category_scores_gemma":[0.0005153494,0.0002455173,0.0003593179,0.001429676,0.002057835,0.00199519,0.001728486,0.0008606473,7.897757e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001380098,"about_ca_system_score_gemma":0.0004787652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007406766,"about_ca_topic_score_gemma":2.836547e-7,"domain_scores_codex":[0.9948677,0.001103595,0.00140911,0.0006356263,0.001501204,0.0004827644],"domain_scores_gemma":[0.9962314,0.0007355843,0.00215718,0.0005606744,0.00003622259,0.0002789566],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0008942742,0.00102542,0.06253713,0.004372934,0.0004829889,0.000005736726,0.006352838,0.0001523697,0.05412453,0.8381509,0.03086876,0.001032074],"study_design_scores_gemma":[0.001292104,0.0003638986,0.01595283,0.001955194,0.0001948951,0.0000829707,0.00109199,0.0004165947,0.7857735,0.1886771,0.00375955,0.0004393918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9625721,0.00249394,0.00003484483,0.01494769,0.0004164002,0.001191235,0.0001227651,0.00009221494,0.01812882],"genre_scores_gemma":[0.9859414,0.0001817985,0.009960583,0.0007656931,0.000116175,0.00001292785,0.00000115945,0.00005877362,0.002961503],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7316489,"threshold_uncertainty_score":0.9999997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05510388448335679,"score_gpt":0.3059500311985111,"score_spread":0.2508461467151543,"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."}}