{"id":"W2802784014","doi":"10.1090/tran/7609","title":"Stability of infinite systems of coupled oscillators via random walks on weighted graphs","year":2018,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Ontario Council on Graduate Studies, Council of Ontario Universities","keywords":"Random walk; Stability (learning theory); Algebraic number; Series (stratigraphy); Basis (linear algebra); Work (physics); Phase (matter)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007274522,0.0006284608,0.0005467854,0.001325362,0.0005428158,0.00128241,0.001033806,0.0008463576,0.00140226],"category_scores_gemma":[0.005293643,0.0003834464,0.0005617351,0.0005534706,0.001494013,0.001853353,0.001186561,0.0008111622,0.0002376228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008165914,"about_ca_system_score_gemma":0.0004081241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001977755,"about_ca_topic_score_gemma":0.001371936,"domain_scores_codex":[0.9995561,0.0001805578,0.00002312078,0.00008918444,0.00009202064,0.00005901161],"domain_scores_gemma":[0.9978564,0.001241981,0.0004602429,0.0001020811,0.0001696048,0.0001696524],"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":[0.0001151413,0.00004630615,0.001589963,0.00009611058,0.00008060601,0.000401048,0.0003659761,0.3331213,0.01284414,0.6426387,0.0007608254,0.007939937],"study_design_scores_gemma":[0.00002042092,0.00002491707,0.0004151074,0.00001352952,0.00001116183,0.00005783164,0.00004677243,0.7996203,0.0006172207,0.1987173,0.0004387854,0.00001666916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.514293,0.0005401467,0.4759826,0.0007459283,0.00004904796,0.00007081272,0.0001227097,0.0002331834,0.007962546],"genre_scores_gemma":[0.9752176,0.0004415116,0.0196154,0.00009374818,0.00004401127,0.0001340317,0.0001100905,0.00007722789,0.004266496],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001977755,"threshold_uncertainty_score":0.005924881,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01177358688695281,"score_gpt":0.2382977848404056,"score_spread":0.2265241979534527,"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."}}