{"id":"W3080520939","doi":"10.4153/s0008439520000661","title":"Equivalence of codes for countable sets of reals","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Countable set; Borel equivalence relation; Equivalence relation; Borel set; Polish space; Combinatorics; Discrete mathematics; Second-countable space; Probability measure; Borel measure; Separable space; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004020139,0.0001249978,0.000479825,0.00004484335,0.00005091847,0.000003766153,0.0002432565,0.0001186235,0.005006403],"category_scores_gemma":[0.003061583,0.000115589,0.00009456446,0.00008521286,0.0002735884,0.00001927156,0.00002545588,0.00009524611,0.0002070419],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003082478,"about_ca_system_score_gemma":0.0001422002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000760255,"about_ca_topic_score_gemma":0.0001293505,"domain_scores_codex":[0.9989087,0.00004849513,0.0004479942,0.0001710162,0.0001190525,0.0003047563],"domain_scores_gemma":[0.9976916,0.001486563,0.0001584379,0.0002358723,0.0001188707,0.0003086548],"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":[0.00004504974,0.00003638773,0.00001711377,0.00125508,0.00003424743,0.000005373569,0.0006939457,0.00000567215,0.0006368724,0.9777283,0.01935493,0.000187003],"study_design_scores_gemma":[0.0003433033,0.0001363612,0.00000606327,0.0001403008,0.00005273969,0.000007040344,0.0004198741,0.000284372,0.005921705,0.9795216,0.01302958,0.0001370447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4638159,0.0007999967,0.3514769,0.0396431,0.0002427936,0.003996164,0.002611805,0.0002373728,0.1371759],"genre_scores_gemma":[0.9413128,0.000009853637,0.05675128,0.0009073298,0.00003674779,0.00003786509,0.000009255544,0.00003335216,0.0009014716],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4774969,"threshold_uncertainty_score":0.9959031,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07103920649717996,"score_gpt":0.3280548719406789,"score_spread":0.257015665443499,"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."}}