{"id":"W2765397305","doi":"10.1007/s00222-021-01047-z","title":"A complexity problem for Borel graphs","year":2021,"lang":"en","type":"preprint","venue":"Inventiones mathematicae","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"National Research, Development and Innovation Office; Nemzeti Kutatási Fejlesztési és Innovációs Hivatal; Natural Sciences and Engineering Research Council of Canada; Universität Wien; Centre National de la Recherche Scientifique; Austrian Science Fund","keywords":"Countable set; Mathematics; Combinatorics; Chromatic scale; Discrete mathematics; Finite set; Graph; Sigma; Physics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009137355,0.0004690214,0.001012329,0.0001605969,0.0002647339,0.00009046672,0.000504652,0.0005380803,0.0005147423],"category_scores_gemma":[0.0008508387,0.0004476095,0.0007841852,0.000138625,0.0004310823,0.0001049431,0.0005932241,0.0005909924,0.00003269511],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006614882,"about_ca_system_score_gemma":0.0001283467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004297438,"about_ca_topic_score_gemma":0.0000443367,"domain_scores_codex":[0.9974515,0.000200219,0.0009579349,0.0006598398,0.0002819891,0.0004484951],"domain_scores_gemma":[0.9968995,0.0009136748,0.0006819774,0.001065758,0.0003243152,0.0001148108],"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":[0.00002881933,0.0005899395,0.00001496988,0.005837655,0.0003119963,0.000009915188,0.001143561,0.00000910508,0.00005086403,0.9892235,0.002522908,0.0002567297],"study_design_scores_gemma":[0.0005033842,0.00003817779,0.00001927097,0.001011181,0.0003025918,0.0000366959,0.0005911451,0.0007029143,0.0003865236,0.9955091,0.0004517404,0.000447271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0936242,0.0007880824,0.8853757,0.001451559,0.001164563,0.00400428,0.0002902438,0.0007733827,0.01252803],"genre_scores_gemma":[0.09714636,0.00005542279,0.8963532,0.0002014449,0.0001957006,0.001968378,0.0004884063,0.0001574914,0.003433539],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0109776,"threshold_uncertainty_score":0.9997976,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1757607725271776,"score_gpt":0.3898178658171112,"score_spread":0.2140570932899336,"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."}}