{"id":"W4293149619","doi":"10.1142/s0218348x22500797","title":"INFORMATION DIMENSION OF GALTON BOARD","year":2022,"lang":"en","type":"article","venue":"Fractals","topic":"Modeling, Simulation, and Optimization","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"National Natural Science Foundation of China","keywords":"Galton's problem; Mathematics; Fractal dimension; Entropy (arrow of time); Poisson distribution; Dimension (graph theory); Fractal; Pascal (unit); Minkowski–Bouligand dimension; Pure mathematics; Mathematical analysis; Computer science; Statistics; 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":[0.0008155719,0.0003700324,0.0004816291,0.003052533,0.0006715824,0.002010097,0.0005554215,0.0006453971,0.003036853],"category_scores_gemma":[0.005173162,0.0002152127,0.0004709299,0.0009197022,0.00177298,0.003039241,0.001171713,0.000718813,0.0003314606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000908665,"about_ca_system_score_gemma":0.0003797779,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005889699,"about_ca_topic_score_gemma":0.0001912459,"domain_scores_codex":[0.9992715,0.0001427811,0.00004298132,0.0001432077,0.0002613743,0.0001382577],"domain_scores_gemma":[0.9977335,0.001053297,0.0002844615,0.0002592617,0.0004557265,0.0002136675],"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":[0.00006348224,0.00001660865,0.00141638,0.00008385132,0.00002578504,0.00009225255,0.0001560123,0.01444665,0.002892022,0.9673659,0.001003733,0.01243728],"study_design_scores_gemma":[0.00002106007,0.00006463728,0.002153825,0.00003939736,0.00002123138,0.0002160879,0.00006279862,0.1255986,0.002778609,0.8628877,0.006101859,0.00005413094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5250422,0.003397222,0.4095143,0.001332307,0.0003446392,0.00007795103,0.0006100585,0.0003185336,0.05936269],"genre_scores_gemma":[0.9801476,0.0007400069,0.01501856,0.0001493394,0.0001566552,0.00006138159,0.0002049074,0.00005095433,0.003470551],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003052533,"threshold_uncertainty_score":0.01015931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02461134026141549,"score_gpt":0.2827404390492876,"score_spread":0.2581290987878722,"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."}}