{"id":"W1854153889","doi":"10.1134/s0081543811060058","title":"Algorithmic tests and randomness with respect to a class of measures","year":2011,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":49,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Randomness; Bernoulli's principle; Mathematics; Sequence (biology); Randomness tests; Class (philosophy); Property (philosophy); Measure (data warehouse); Discrete mathematics; Context (archaeology); Bernoulli number; Metric (unit); Bernoulli process; Combinatorics; Computer science; Statistics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008948373,0.000223633,0.0005883944,0.0001716723,0.00006662175,0.00003512238,0.001581613,0.00006590492,0.000001742448],"category_scores_gemma":[0.000492083,0.0001413492,0.00009645177,0.0007248197,0.0004266904,0.0004124228,0.0008078491,0.0001278784,9.767746e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002972131,"about_ca_system_score_gemma":0.00008500995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003762679,"about_ca_topic_score_gemma":0.00001524513,"domain_scores_codex":[0.9981698,0.00001088461,0.0006067193,0.0003308154,0.0006518211,0.0002299982],"domain_scores_gemma":[0.998062,0.0001029048,0.0005776399,0.0004463325,0.0007200253,0.00009115107],"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":[0.0008905284,0.004010216,0.02487472,0.01242889,0.001024544,0.00001319719,0.125173,0.0003701611,0.05737112,0.6874987,0.0007785411,0.08556632],"study_design_scores_gemma":[0.009391269,0.004062526,0.02846816,0.004924315,0.0005011723,0.0006223655,0.003015743,0.03693658,0.6838752,0.2253095,0.001124629,0.001768523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8865043,0.00009003338,0.1048927,0.0002766844,0.0002394785,0.001202372,0.000007036912,0.0000798138,0.006707541],"genre_scores_gemma":[0.6053192,0.000004935535,0.3945887,0.00001137328,0.00001616355,0.00001510575,4.120786e-8,0.00001016594,0.00003427959],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6265041,"threshold_uncertainty_score":0.5764053,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03480845670536498,"score_gpt":0.2366268819779675,"score_spread":0.2018184252726025,"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."}}