{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.02319423,0.003092963,0.003588721,0.006155649,0.002517668,0.006390182,0.005583787,0.004123506,0.008330805],"category_scores_gemma":[0.1248372,0.001523925,0.003107002,0.004981256,0.009556361,0.01944379,0.0107204,0.01589358,0.002988784],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.005955965,"about_ca_system_score_gemma":0.001369908,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001475621,"about_ca_topic_score_gemma":0.00105779,"domain_scores_codex":[0.9786903,0.007947935,0.00116353,0.004123602,0.006360358,0.001714325],"domain_scores_gemma":[0.86892,0.09720663,0.006021398,0.01825417,0.007827423,0.001770435],"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":[0.0001618813,0.00003800687,0.001043417,0.0003009733,0.0001299102,0.0001282731,0.0003820624,0.01743006,0.001886671,0.9399224,0.007379448,0.03119701],"study_design_scores_gemma":[0.00001344652,0.00004666959,0.0005810492,0.0001102723,0.00003840433,0.0001333404,0.0000294794,0.0467008,0.001752817,0.9437944,0.006738249,0.00006105751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02215943,0.01270552,0.9157268,0.01261357,0.001396151,0.00007583919,0.001015588,0.0007888744,0.03351826],"genre_scores_gemma":[0.7210894,0.013179,0.231454,0.008566276,0.005806783,0.0009369782,0.002203201,0.002146563,0.01461778],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02319423,"threshold_uncertainty_score":0.1226643,"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."}}