{"id":"W2981650987","doi":"10.1017/s0004972719001102","title":"A NOTE ON NORMALISED HEAT DIFFUSION FOR GRAPHS","year":2019,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Monotonic function; Heat equation; Diffusion; Laplace operator; Heat kernel; Combinatorics; Mathematical analysis; Thermodynamics; Physics","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":[],"consensus_categories":[],"category_scores_codex":[0.00115452,0.0002561002,0.0005145678,0.00001802648,0.0001168801,0.00002427569,0.0004819561,0.0002182132,0.0007359969],"category_scores_gemma":[0.0005835039,0.0001581918,0.001095583,0.0001149792,0.0001326735,0.00001311798,0.0001447879,0.000241539,0.000007380484],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004959136,"about_ca_system_score_gemma":0.00001897164,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009454111,"about_ca_topic_score_gemma":5.288454e-7,"domain_scores_codex":[0.998255,0.0001235777,0.0005152246,0.0002914959,0.0004274783,0.0003872574],"domain_scores_gemma":[0.9972991,0.001512166,0.0001809838,0.0008115355,0.00009161751,0.0001046298],"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":[0.0002149975,0.001159135,0.0003245531,0.004797827,0.0001896548,6.807478e-7,0.002633802,0.00002697907,0.02184993,0.5501917,0.4179467,0.0006640151],"study_design_scores_gemma":[0.00738857,0.001042122,0.0005051222,0.002059188,0.0005876581,0.00002562625,0.00198698,0.004063479,0.06499543,0.6667553,0.249167,0.00142349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9348082,0.00001138996,0.01444101,0.02649619,0.0006673299,0.004198888,0.0001156883,0.000161983,0.01909929],"genre_scores_gemma":[0.5721449,0.000009064669,0.3483993,0.001791969,0.0001671767,0.0001770481,0.000006998182,0.0001253582,0.07717824],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3626634,"threshold_uncertainty_score":0.805865,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04348557945156247,"score_gpt":0.3252619150649488,"score_spread":0.2817763356133863,"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."}}