{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001090056,0.0005639717,0.001035605,0.00129815,0.001364817,0.00256203,0.001176188,0.00147396,0.02216288],"category_scores_gemma":[0.007746545,0.0004513238,0.000951985,0.001246558,0.001929273,0.003675229,0.002249207,0.001736939,0.005842619],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00214537,"about_ca_system_score_gemma":0.0007901113,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001544959,"about_ca_topic_score_gemma":0.002073562,"domain_scores_codex":[0.9986349,0.0002864556,0.00005977525,0.0005650005,0.0003023843,0.0001514806],"domain_scores_gemma":[0.9970865,0.0009801054,0.0002237295,0.0007290225,0.0007219144,0.0002586985],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0000489177,0.00003209331,0.001005536,0.00009847863,0.00002254229,0.00006747739,0.0001486093,0.0018959,0.0006530625,0.945469,0.008761553,0.04179673],"study_design_scores_gemma":[0.00001791707,0.0000382642,0.001409725,0.00007626409,0.00002849738,0.0004856231,0.0001306576,0.02920822,0.001602835,0.8120084,0.1549477,0.00004586136],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.06175934,0.01122036,0.6951421,0.01113906,0.003311817,0.0001565665,0.001595692,0.0008451547,0.2148298],"genre_scores_gemma":[0.6161037,0.006895047,0.1779397,0.005402316,0.002194337,0.0002784608,0.002004763,0.0006474153,0.1885343],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9778371,"threshold_uncertainty_score":0,"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."}}