{"id":"W2963872945","doi":"10.48550/arxiv.1511.01618","title":"","year":2015,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Law of the iterated logarithm; Mathematics; Iterated logarithm; Martingale (probability theory); Affine transformation; Logarithm; Combinatorics; Iterated function; Ball (mathematics); Bounded function; Discrete mathematics; Pure mathematics; Applied mathematics; Geometry; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004768928,0.0002692368,0.0003708196,0.0001114569,0.000156803,0.00004082955,0.0005554011,0.0001348688,0.00002157528],"category_scores_gemma":[0.002856953,0.0002786284,0.0001034762,0.0007688797,0.0001126325,0.0003594024,0.0002298014,0.0002256742,0.00004761039],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001780058,"about_ca_system_score_gemma":0.0001524101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005082844,"about_ca_topic_score_gemma":0.00006935535,"domain_scores_codex":[0.9983199,0.0000871301,0.0002559253,0.0006360215,0.0001505058,0.0005505499],"domain_scores_gemma":[0.9973361,0.0008164615,0.0001551041,0.0005706282,0.0004143956,0.0007072902],"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":[0.0002330504,0.0001816209,0.00039378,0.00004129257,0.00004144708,0.0004450834,0.0003492534,0.002174834,0.00002802192,0.9954451,0.0004579386,0.0002085295],"study_design_scores_gemma":[0.001678182,0.0002817422,0.0000448247,0.00002443849,0.0001096319,0.00002289675,0.001403214,0.1655648,0.0001197923,0.8303453,0.000097878,0.0003072976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3618639,0.00001126328,0.6367696,0.00007009904,0.0001317671,0.0001497739,0.00001140536,0.000185453,0.0008067281],"genre_scores_gemma":[0.9884413,0.000006773962,0.01068478,0.0001414542,0.00006549388,9.085688e-7,0.00000290298,0.00002893424,0.0006274302],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6265774,"threshold_uncertainty_score":0.9999666,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2720447793122935,"score_gpt":0.2354354225106899,"score_spread":0.0366093568016036,"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."}}