{"id":"W2073982870","doi":"10.1103/physreve.83.010101","title":"Lower bounds on mutual information","year":2011,"lang":"en","type":"article","venue":"Physical Review E","topic":"Gene expression and cancer classification","field":"Biochemistry, Genetics and Molecular Biology","cited_by":34,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Mutual information; Random variable; Invariant (physics); Marginal distribution; Upper and lower bounds; Combinatorics; Applied mathematics; Statistics; Discrete mathematics; Mathematical analysis","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":[0.00004803434,0.00006606131,0.00007518781,0.00001029158,0.00002390368,0.000006048543,0.00008870231,0.00002135507,0.00006905459],"category_scores_gemma":[0.00004349071,0.00005083487,0.00006740916,0.00005451222,0.00001940662,0.000005680346,0.0000235679,0.00004083737,0.0003485612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000535013,"about_ca_system_score_gemma":0.00001950002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001191407,"about_ca_topic_score_gemma":2.433221e-7,"domain_scores_codex":[0.999616,0.00002161278,0.00009648463,0.0001003319,0.00008760039,0.00007794348],"domain_scores_gemma":[0.999639,0.000002094579,0.0000504939,0.0002272555,0.00003724745,0.00004395174],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0002899225,0.0008152459,0.0002452988,0.0006751668,0.00006107689,0.000001026495,0.0003439846,0.000002339333,0.3443949,0.02398224,0.2860991,0.3430897],"study_design_scores_gemma":[0.0001365841,0.000264894,0.001590324,0.000148424,0.00001337837,8.018213e-7,0.000006977118,0.00001666778,0.06958158,0.0003820986,0.927744,0.0001142066],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6203103,0.009501876,0.002966424,0.001135679,0.0008423768,0.0009369408,0.00002153514,0.00007265455,0.3642122],"genre_scores_gemma":[0.9935691,0.002901778,0.00005161936,0.00302376,0.0001393089,0.00004266986,0.00004943935,0.000004808443,0.0002175628],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.641645,"threshold_uncertainty_score":0.4480165,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02548961977622545,"score_gpt":0.2968651265662572,"score_spread":0.2713755067900318,"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."}}