{"id":"W1987699222","doi":"10.1016/j.tcs.2012.03.005","title":"Succinct representations of permutations and functions","year":2012,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"Algorithms and Data Compression","field":"Computer Science","cited_by":67,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Royal Society","keywords":"Combinatorics; Upper and lower bounds; Integer (computer science); Permutation (music); Mathematics; Constant (computer programming); Redundancy (engineering); Discrete mathematics; Binary logarithm; Time complexity; Function (biology); Computer science","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":[0.0006296443,0.00008350419,0.0001074994,0.0001444848,0.0003932797,0.0001211016,0.000690339,0.0000229868,0.00003417033],"category_scores_gemma":[0.00007409774,0.00006590018,0.0000277053,0.0007504392,0.001334349,0.001377827,0.0008477676,0.00008337823,0.00002195283],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001341326,"about_ca_system_score_gemma":0.00004857384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007367773,"about_ca_topic_score_gemma":2.066537e-7,"domain_scores_codex":[0.9988148,0.000054444,0.0001843191,0.0002933907,0.0003522771,0.0003007599],"domain_scores_gemma":[0.9987826,0.0002380661,0.00005239497,0.0005593537,0.0001342565,0.0002333015],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001065968,0.00005267296,0.001052436,0.000002746398,0.000001877816,4.05941e-7,0.0004899489,0.00003539774,0.0005103929,0.9785407,0.00008188478,0.0192305],"study_design_scores_gemma":[0.00032797,0.0001743057,0.1037017,0.00003074059,0.00001564767,0.0001203779,0.00007434073,0.7947665,0.003806029,0.09610026,0.0005857552,0.0002964211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04388424,0.00006189023,0.9527986,0.0004205985,0.0003870265,0.00007786082,0.000004802572,0.00006666213,0.002298326],"genre_scores_gemma":[0.8245356,0.000003926409,0.1753011,0.00007067979,0.0000696407,0.000003796123,0.000001554739,0.000002438411,0.00001124293],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8824404,"threshold_uncertainty_score":0.4916466,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01151241057584652,"score_gpt":0.2747325932058178,"score_spread":0.2632201826299713,"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."}}