{"id":"W2952244885","doi":"10.48550/arxiv.1704.02660","title":"Centers of probability measures without the mean","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Fuzzy Systems and Optimization","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Cauchy distribution; Mathematics; Random variable; Probability distribution; Center (category theory); Constant (computer programming); Combinatorics; Distribution (mathematics); Discrete mathematics; Statistics; Mathematical analysis; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006625198,0.0002226807,0.0003991957,0.00006497563,0.0001888418,0.00004640609,0.0008921234,0.0002182101,0.00001940067],"category_scores_gemma":[0.0002705597,0.0001727578,0.0002355379,0.00007381453,0.0002389866,0.00009292385,0.0005205304,0.0003131529,0.000004626529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001237717,"about_ca_system_score_gemma":0.0001230549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004317155,"about_ca_topic_score_gemma":0.0005011765,"domain_scores_codex":[0.9987733,0.0002159355,0.0002476044,0.0004625157,0.0001231008,0.0001775431],"domain_scores_gemma":[0.9972409,0.0001103575,0.0006987859,0.001600778,0.0002877382,0.00006144642],"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":[0.0004322793,0.0007624232,0.1188906,0.004205814,0.001257225,0.00005919372,0.00546088,0.2317387,0.0001342203,0.6326586,0.003837702,0.0005623681],"study_design_scores_gemma":[0.00132966,0.00008493864,0.002971533,0.001084868,0.0007880834,0.000004639858,0.0008077243,0.06778854,0.0005703454,0.9229586,0.0007969104,0.0008141339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9277565,0.00006793041,0.05388812,0.0001216025,0.0007152035,0.001532705,0.0000872639,0.0001268809,0.01570384],"genre_scores_gemma":[0.997393,0.00005142775,0.0009222251,0.000006432208,0.00005696039,0.000001408235,0.000007780723,0.00002224627,0.001538595],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2903,"threshold_uncertainty_score":0.7044859,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1913832367336561,"score_gpt":0.2277559484541199,"score_spread":0.03637271172046383,"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."}}