{"id":"W4381797993","doi":"10.48550/arxiv.2306.13077","title":"Phase transition for random walks on graphs with added weighted random matching","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Random walk; Bounded function; Random graph; Vertex (graph theory); Order (exchange); Phase transition; Graph; Discrete mathematics; Physics; Mathematical analysis; Quantum mechanics; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003860356,0.0004632961,0.0007926023,0.0002807465,0.0002417061,0.0000627709,0.0003881051,0.0003367929,0.0000537204],"category_scores_gemma":[0.0002556237,0.000421597,0.0003207528,0.0003620652,0.00007159406,0.00008013505,0.0001015043,0.000546624,0.00002569315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001009463,"about_ca_system_score_gemma":0.0001219996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003086627,"about_ca_topic_score_gemma":0.00004941989,"domain_scores_codex":[0.9980693,0.00009435989,0.0003389775,0.0009030887,0.0001643092,0.0004299492],"domain_scores_gemma":[0.9964498,0.002302409,0.0002953327,0.0005296621,0.0002356623,0.0001871789],"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":[0.01684056,0.0007497511,4.953334e-7,0.001358148,0.0005619802,0.0003405076,0.0007280399,0.00776608,0.00005647463,0.9703414,0.0006029558,0.000653634],"study_design_scores_gemma":[0.02271149,0.0005282072,4.868164e-7,0.0005504393,0.0007348321,0.000003362803,0.0002408622,0.2265837,0.0001267726,0.748086,0.00002223491,0.0004116118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08376065,0.00001066896,0.9130276,0.00009230937,0.0003373128,0.001538148,0.0006102999,0.0003615933,0.0002613894],"genre_scores_gemma":[0.9894159,0.00005901401,0.009424922,0.00007431096,0.00009073144,0.00003142136,0.0002324576,0.0001053527,0.0005658686],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9056553,"threshold_uncertainty_score":0.9998236,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1190070865295965,"score_gpt":0.2558625818110164,"score_spread":0.1368554952814199,"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."}}