{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002238488,0.0006698042,0.0008796825,0.001350837,0.001031258,0.001685264,0.001351748,0.00130809,0.004979467],"category_scores_gemma":[0.01517844,0.0003778792,0.001045472,0.001235474,0.005527524,0.00393357,0.001983627,0.003269341,0.0006087594],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001097367,"about_ca_system_score_gemma":0.0005084753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001947384,"about_ca_topic_score_gemma":0.001891523,"domain_scores_codex":[0.9991683,0.0003062103,0.00004038074,0.00015763,0.0002524586,0.00007501372],"domain_scores_gemma":[0.994312,0.004092997,0.0003195192,0.0005100905,0.0004522704,0.0003129429],"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":[0.0000309329,0.00001204705,0.0002305081,0.00009992607,0.00001034305,0.0001127798,0.0001832784,0.008354517,0.002525933,0.9793682,0.002679547,0.006392013],"study_design_scores_gemma":[0.00000446593,0.00001981715,0.0003197494,0.00002669206,0.000006400726,0.000124361,0.0000266072,0.02891992,0.0006438261,0.9643776,0.0055076,0.00002302679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1065059,0.007912134,0.7430807,0.009470317,0.004335287,0.00007914368,0.0003354868,0.0006747651,0.1276062],"genre_scores_gemma":[0.805046,0.005623756,0.1538546,0.002885138,0.002927605,0.0002024769,0.0001713676,0.0006615372,0.02862756],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004979467,"threshold_uncertainty_score":0.01665795,"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."}}