{"id":"W4388684854","doi":"10.48550/arxiv.2311.06727","title":"On an Erdős similarity problem in the large","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"China Scholarship Council; Natural Science Foundation of Hubei Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Sequence (biology); Unit interval; Generalization; Affine transformation; Combinatorics; Integer (computer science); Set (abstract data type); Discrete mathematics; Similarity (geometry); Metric (unit); Interval (graph theory); Pure mathematics; Computer science; Image (mathematics); Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002979564,0.0006913992,0.001824102,0.001295681,0.002101528,0.002521272,0.001820323,0.002425435,0.005983911],"category_scores_gemma":[0.01744286,0.0004782193,0.0008647298,0.001998392,0.002740809,0.008971037,0.004077493,0.003274382,0.0009280802],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002131227,"about_ca_system_score_gemma":0.0007917529,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008145024,"about_ca_topic_score_gemma":0.0005736527,"domain_scores_codex":[0.9971074,0.001221622,0.0001060125,0.0007330714,0.0006281103,0.0002037329],"domain_scores_gemma":[0.9895886,0.007372416,0.0009412191,0.0007755056,0.0006912329,0.0006310281],"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":[0.0001522119,0.00004879752,0.0005864323,0.0001271131,0.00003198282,0.0001612681,0.0002649673,0.01113364,0.0007175683,0.9709788,0.004381789,0.01141547],"study_design_scores_gemma":[0.00005684689,0.00003619196,0.0002501165,0.00001909555,0.00001249239,0.000131265,0.0001207513,0.0462471,0.0005100811,0.9469196,0.005679165,0.00001729671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3186632,0.004839486,0.579612,0.01941675,0.0004679763,0.0002486707,0.0009557446,0.0005772885,0.07521894],"genre_scores_gemma":[0.8997002,0.002004933,0.0717274,0.00208736,0.0007631989,0.0003796607,0.0009944142,0.0001905726,0.02215239],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005983911,"threshold_uncertainty_score":0.02001822,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1799767151907559,"score_gpt":0.2677804643639242,"score_spread":0.08780374917316824,"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."}}