{"id":"W2927683184","doi":"10.1007/978-3-030-61887-2_4","title":"Large Sets Avoiding Rough Patterns","year":2020,"lang":"en","type":"book-chapter","venue":"Springer optimization and its applications","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Disjoint sets; Hausdorff dimension; Lipschitz continuity; Combinatorics; Minkowski–Bouligand dimension; Dimension (graph theory); Discrete mathematics; Compact space; Minkowski space; Packing dimension; Pure mathematics; Geometry; Mathematical analysis; Fractal dimension; Fractal","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":[],"consensus_categories":[],"category_scores_codex":[0.0005051613,0.0006469727,0.0008989949,0.001373857,0.0008061375,0.002657483,0.0005580237,0.0009897513,0.006264477],"category_scores_gemma":[0.002615453,0.0006167491,0.000694702,0.001006448,0.001923157,0.003040236,0.00191656,0.002180182,0.001415387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008295221,"about_ca_system_score_gemma":0.0003570904,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000435913,"about_ca_topic_score_gemma":0.0003993404,"domain_scores_codex":[0.9996456,0.00006644015,0.00001683068,0.00005830924,0.0001795049,0.00003336293],"domain_scores_gemma":[0.9990174,0.0005178466,0.00008239035,0.0002123505,0.0001004583,0.00006950785],"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":[0.0000110265,0.000005851204,0.00004354971,0.00005072077,0.0000113213,0.00002842069,0.00006193719,0.004761442,0.0008078903,0.9775409,0.004300289,0.01237669],"study_design_scores_gemma":[0.000003613923,0.000008410608,0.0001128058,0.00001261965,0.000004376084,0.00005222243,0.00002005883,0.01078698,0.0002864337,0.9779473,0.01075946,0.000005722467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0754075,0.01121072,0.4510698,0.00535453,0.001391159,0.0000804548,0.0004005074,0.0005474054,0.454538],"genre_scores_gemma":[0.6434609,0.007392348,0.08559582,0.0009671986,0.00176626,0.0002076729,0.0006006139,0.0005709879,0.2594383],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.006264477,"threshold_uncertainty_score":0.02095675,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04225839055504119,"score_gpt":0.2871140141485105,"score_spread":0.2448556235934693,"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."}}