{"id":"W4389775472","doi":"10.4171/icm2022/153","title":"On some properties of sparse sets: a survey","year":2023,"lang":"en","type":"book-chapter","venue":"EMS Press eBooks","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Association for Women in Mathematics","keywords":"Cardinality (data modeling); Mathematics; Measure (data warehouse); Euclidean space; Euclidean geometry; Space (punctuation); Ergodic theory; Dimension (graph theory); Pure mathematics; Fractal; Computer science; Geometry; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0008609667,0.001003519,0.00126763,0.006460942,0.0009923857,0.003066294,0.0009861416,0.001392163,0.008119092],"category_scores_gemma":[0.002063648,0.0008877305,0.0006961063,0.01320245,0.002339405,0.007323781,0.001886263,0.003119168,0.004649623],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001409334,"about_ca_system_score_gemma":0.0008352029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001420757,"about_ca_topic_score_gemma":0.001128453,"domain_scores_codex":[0.9994306,0.000111533,0.00004893458,0.0001236422,0.0002420187,0.00004324285],"domain_scores_gemma":[0.9985363,0.001074993,0.00005525474,0.00009569788,0.0001830151,0.00005478863],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003596712,0.0001227373,0.0009611305,0.00390922,0.0000424843,0.0002304001,0.0006967319,0.002733579,0.0009790811,0.4200324,0.08766402,0.4825922],"study_design_scores_gemma":[0.000008686919,0.00006143671,0.001449206,0.001440578,0.00002002641,0.001389302,0.0002252823,0.002150169,0.0005016942,0.2557803,0.7369313,0.00004193873],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.003356586,0.8853797,0.02450266,0.003250873,0.001044365,0.00002430792,0.0002774914,0.0001166197,0.08204733],"genre_scores_gemma":[0.02361649,0.9290254,0.01730618,0.001740112,0.003991086,0.00007113416,0.0007057383,0.0001354662,0.02340849],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.008119092,"threshold_uncertainty_score":0.02716112,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2326002245845325,"score_gpt":0.3089139035132166,"score_spread":0.07631367892868404,"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."}}