{"id":"W3175870388","doi":"","title":"An improved bound for the dimension of (α,2α)-Furstenberg sets","year":2022,"lang":"en","type":"article","venue":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Alpha (finance); Dimension (graph theory); Mathematics; Combinatorics; Statistics; Cronbach's alpha","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":[0.001505253,0.0002878138,0.0006101988,0.0001597768,0.001116793,0.00005865311,0.004194527,0.0002287418,0.0001666546],"category_scores_gemma":[0.0002325329,0.0001530636,0.0005581697,0.0009851307,0.001723603,0.002135371,0.001182956,0.0007404538,5.16634e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001948829,"about_ca_system_score_gemma":0.0002094536,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005708158,"about_ca_topic_score_gemma":7.749782e-8,"domain_scores_codex":[0.9958306,0.0007203702,0.001516425,0.0004395974,0.001156133,0.000336867],"domain_scores_gemma":[0.9956068,0.001443279,0.002249306,0.0005750362,0.00002712179,0.00009840895],"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":[0.0003711997,0.0006641691,0.001461735,0.0009935914,0.0001854808,1.184442e-7,0.002699342,0.0004828257,0.1986929,0.7714248,0.02208715,0.0009367153],"study_design_scores_gemma":[0.0005309873,0.0003071213,0.003059381,0.0002552453,0.0001668237,0.00002539113,0.0009565474,0.04161108,0.5766695,0.3733541,0.002842175,0.000221672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.942646,0.0009541467,0.0003868484,0.04500951,0.0007930364,0.003725435,0.0002178993,0.000154592,0.006112516],"genre_scores_gemma":[0.9780428,0.00003153466,0.0165051,0.001143462,0.0001311144,0.00008801355,0.000003856655,0.00005801779,0.003996084],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3980706,"threshold_uncertainty_score":0.8589581,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04083623219968879,"score_gpt":0.296819278628124,"score_spread":0.2559830464284352,"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."}}