{"id":"W4287870113","doi":"","title":"On the Estimation of Information Measures of Continuous Distributions","year":2023,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Commission","keywords":"Differential entropy; Mathematics; Lipschitz continuity; Bounded function; Entropy (arrow of time); Density estimation; Applied mathematics; Maximum entropy probability distribution; Probability density function; Kullback–Leibler divergence; Probability distribution; Joint entropy; Histogram; Uniform boundedness; Principle of maximum entropy; Mathematical analysis; Statistics; Computer science; Artificial intelligence","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":[0.01133259,0.001262522,0.001769995,0.003091778,0.0006874494,0.002867771,0.002083597,0.001761807,0.0009654449],"category_scores_gemma":[0.1101012,0.0009056997,0.0009134331,0.001803186,0.006776972,0.007121034,0.003615828,0.002988984,0.0002903792],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002107124,"about_ca_system_score_gemma":0.001132689,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001334192,"about_ca_topic_score_gemma":0.0004374161,"domain_scores_codex":[0.9935835,0.002577435,0.0003788531,0.001177988,0.001982618,0.0002994784],"domain_scores_gemma":[0.8497166,0.1365374,0.00521692,0.004812356,0.002873172,0.0008435535],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003434492,0.00007194693,0.004716529,0.0005318553,0.0001800256,0.0003131681,0.0003990286,0.5255791,0.006393557,0.4212728,0.0007286966,0.03946977],"study_design_scores_gemma":[0.00001014054,0.00007164311,0.001242601,0.00008705867,0.00001374493,0.0001170781,0.00002709504,0.8472295,0.003035331,0.1475374,0.0005807382,0.00004762117],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02455983,0.0009524926,0.9725883,0.0003687592,0.00002380018,0.00002354157,0.00008578886,0.0001222825,0.001275147],"genre_scores_gemma":[0.8065965,0.002670492,0.1879193,0.0002574736,0.0002653459,0.0002387913,0.0006151542,0.0001859226,0.001251101],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01133259,"threshold_uncertainty_score":0.05993319,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02079968478470742,"score_gpt":0.2398414928083918,"score_spread":0.2190418080236844,"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."}}