{"id":"W4225341677","doi":"10.1214/24-ejp1082","title":"Uniform even subgraphs and graphical representations of Ising as factors of i.i.d.","year":2024,"lang":"en","type":"preprint","venue":"Electronic Journal of Probability","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Unimodular matrix; Ising model; Mathematics; Combinatorics; Tree (set theory); Boundary (topology); Factor (programming language); Graph; Discrete mathematics; Computer science; Statistical physics; Physics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000410615,0.0003041287,0.0003832615,0.001088573,0.000355167,0.0007980966,0.0007238653,0.0005818975,0.003619628],"category_scores_gemma":[0.002915342,0.0002164972,0.0005137075,0.0004131268,0.00131591,0.001773352,0.000726832,0.0008394243,0.0002758821],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007697802,"about_ca_system_score_gemma":0.0002391322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009847544,"about_ca_topic_score_gemma":0.0009462631,"domain_scores_codex":[0.9997675,0.00005891717,0.000009606296,0.00006645345,0.0000486553,0.00004887341],"domain_scores_gemma":[0.9987785,0.0004542099,0.000293217,0.0002111409,0.00009927557,0.0001636178],"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":[0.00003788236,0.00001872243,0.0009699683,0.00003387408,0.000008068127,0.0001162006,0.0001579103,0.01134154,0.00247604,0.9800988,0.0005772501,0.004163684],"study_design_scores_gemma":[0.00001349016,0.00003745869,0.0011485,0.00002041109,0.00001415767,0.0001956037,0.00007934876,0.1615061,0.001570268,0.833286,0.002112085,0.00001655908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6186788,0.0008872234,0.3465468,0.0006630497,0.00007009666,0.0000562595,0.0002636147,0.0004672201,0.0323669],"genre_scores_gemma":[0.9767776,0.0002392857,0.01916877,0.0001287113,0.00005114652,0.00003763472,0.0001050749,0.00006545914,0.003426218],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003619628,"threshold_uncertainty_score":0.01210892,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04890046713538784,"score_gpt":0.372072167004742,"score_spread":0.3231716998693542,"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."}}