{"id":"W2110961760","doi":"10.1063/1.4881723","title":"Ising model observables and non-backtracking walks","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Ising model; Backtracking; Observable; Mathematics; Partition function (quantum field theory); Connection (principal bundle); Partition (number theory); Combinatorics; Graph; Multigraph; Square-lattice Ising model; Statistical physics; Discrete mathematics; Physics; Quantum mechanics; Algorithm; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006318794,0.0003860141,0.0005993122,0.001456189,0.001131975,0.001882917,0.00108045,0.0007226784,0.00303621],"category_scores_gemma":[0.004304852,0.0002563684,0.0006701123,0.0008564513,0.002220094,0.004211903,0.001444426,0.002027644,0.0001805525],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007905185,"about_ca_system_score_gemma":0.0005742443,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001289206,"about_ca_topic_score_gemma":0.0009036168,"domain_scores_codex":[0.9994981,0.00008111614,0.00002565875,0.00008995365,0.0002033441,0.0001017892],"domain_scores_gemma":[0.9973289,0.001520902,0.0003187576,0.0003839616,0.000262415,0.0001850759],"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":[0.00002619367,0.00003283694,0.0007335608,0.00003863694,0.000005605016,0.0001607813,0.0001763978,0.002709271,0.001455252,0.9922245,0.0002536668,0.002183316],"study_design_scores_gemma":[0.0000105465,0.00001119094,0.00080049,0.00001937904,0.000005265867,0.0001169315,0.00006800305,0.02053429,0.001064006,0.9767054,0.0006529127,0.0000117007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8293751,0.001099328,0.13256,0.0007828591,0.0001761607,0.00003022435,0.0002586924,0.0002754155,0.03544221],"genre_scores_gemma":[0.9945016,0.0002048727,0.003487539,0.00006823755,0.00004708366,0.00001445326,0.00008449743,0.00003718311,0.001554644],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00303621,"threshold_uncertainty_score":0.01015711,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01197418233573131,"score_gpt":0.2359079448983504,"score_spread":0.2239337625626191,"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."}}