{"id":"W4390765823","doi":"10.54330/afm.142535","title":"Assouad-type dimensions of overlapping self-affine sets","year":2024,"lang":"en","type":"article","venue":"Annales Fennici Mathematici","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust","keywords":"Affine transformation; Iterated function; Mathematics; Dimension (graph theory); Projection (relational algebra); Iterated function system; Function (biology); Pure mathematics; Set (abstract data type); Plane (geometry); Affine plane (incidence geometry); Computer science; Mathematical analysis; Geometry; Algorithm","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009555993,0.0003754188,0.0008425808,0.0002581805,0.000101621,0.0001017368,0.0003651278,0.0001867107,0.0007520069],"category_scores_gemma":[0.0009712339,0.0002694646,0.000347108,0.0006513947,0.00008763066,0.0002061954,0.0002020114,0.0003065343,0.0004389317],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005902931,"about_ca_system_score_gemma":0.00009228101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006341737,"about_ca_topic_score_gemma":0.000005588784,"domain_scores_codex":[0.9973373,0.00007768113,0.001087308,0.0004171924,0.0005846712,0.0004958774],"domain_scores_gemma":[0.9963373,0.0022532,0.0002702808,0.0007670078,0.000210235,0.0001619941],"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":[0.00001679279,0.001000293,0.00003252606,0.008942557,0.0007198884,0.00009514055,0.003848437,0.00001690484,0.005803121,0.9613928,0.01619367,0.001937907],"study_design_scores_gemma":[0.0002330881,0.0001566574,0.0000259243,0.00203559,0.0003764604,0.0001029705,0.0003128978,0.09306259,0.001171594,0.8922877,0.009762094,0.0004724096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9121725,0.00295564,0.01820116,0.00116973,0.0007611725,0.001408104,0.00009749577,0.001526997,0.06170722],"genre_scores_gemma":[0.9409633,0.0004075642,0.05460519,0.0001302739,0.0001215884,0.00003902536,0.00002003382,0.0001539261,0.003559077],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09304569,"threshold_uncertainty_score":0.9999757,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05542398416244503,"score_gpt":0.3415408966046531,"score_spread":0.2861169124422081,"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."}}