{"id":"W1985614194","doi":"10.1016/j.tcs.2005.09.016","title":"Simple permutations mix well","year":2005,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"DNA and Biological Computing","field":"Biochemistry, Genetics and Molecular Biology","cited_by":31,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Random permutation; Mathematics; Combinatorics; Permutation (music); Simple (philosophy); Independence (probability theory); Closeness; Mixing (physics); Random graph; Discrete mathematics; Derangement; Graph; Symmetric group; Statistics","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":[0.0003949827,0.00009747281,0.00007914471,0.0000302837,0.0002467779,0.00006976952,0.000485101,0.0000518086,0.0001038464],"category_scores_gemma":[0.00006296612,0.00007217366,0.00005106859,0.0001915866,0.001272909,0.000006024567,0.000373509,0.00007284952,0.0001149994],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001031809,"about_ca_system_score_gemma":0.00003830932,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.772004e-7,"about_ca_topic_score_gemma":7.977366e-7,"domain_scores_codex":[0.9989524,0.0000407194,0.0001339944,0.000386604,0.0001610876,0.0003251933],"domain_scores_gemma":[0.9994786,0.00002795926,0.00002488836,0.0002515067,0.00008053869,0.0001365368],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00003629504,0.000171938,0.001243502,0.0000053209,0.00001022541,0.000004446244,0.00008617554,0.001647124,0.299162,0.5874531,0.0009216612,0.1092582],"study_design_scores_gemma":[0.001033497,0.00192304,0.01953916,0.00002234893,0.00002362807,0.0001243928,0.00004338404,0.3145156,0.5179607,0.05919481,0.08444992,0.001169556],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7273301,0.00003542455,0.2598453,0.0004474153,0.0000979032,0.0000662549,0.000001757605,0.00003134067,0.01214438],"genre_scores_gemma":[0.9823033,0.000003615608,0.01589839,0.001247321,0.000498341,0.000001907008,0.000009214436,0.000004599292,0.00003335862],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5282583,"threshold_uncertainty_score":0.4690086,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008061903686414422,"score_gpt":0.2620267867829475,"score_spread":0.2539648830965331,"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."}}