{"id":"W4402337876","doi":"","title":"Geometric expansion of fluctuations and average shadows","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Courtois Foundation","keywords":"Geometry; Mathematics","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":[0.0007846286,0.0003911878,0.0004123794,0.001462193,0.0003862775,0.001072349,0.000601557,0.0002627661,0.002163804],"category_scores_gemma":[0.00504828,0.0002149101,0.0003946176,0.0004517242,0.002271103,0.002253682,0.0008215365,0.00069903,0.0001829478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007237325,"about_ca_system_score_gemma":0.0004360155,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001297688,"about_ca_topic_score_gemma":0.0007758918,"domain_scores_codex":[0.9997141,0.00008256781,0.000009604802,0.00004341903,0.00008649542,0.00006370423],"domain_scores_gemma":[0.9984071,0.0007580001,0.0002349865,0.0002649652,0.0001832607,0.0001516999],"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":[0.00006439759,0.00002473649,0.002678144,0.0000592547,0.00001487947,0.0003179073,0.0002665118,0.09924198,0.01210666,0.8764565,0.0005618655,0.008207172],"study_design_scores_gemma":[0.000008447964,0.00003113838,0.002840931,0.00001574274,0.000007660034,0.0001610603,0.00006793904,0.6534177,0.004815907,0.3377608,0.0008429994,0.00002974427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6506701,0.0003474825,0.3343906,0.0003042983,0.00004115109,0.00002894659,0.0001339135,0.000532853,0.0135506],"genre_scores_gemma":[0.9893699,0.0001270015,0.009426741,0.00002897421,0.0000320448,0.00001689944,0.00004921933,0.0001000876,0.0008491793],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002163804,"threshold_uncertainty_score":0.007238626,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1006450622142361,"score_gpt":0.2429742575201295,"score_spread":0.1423291953058934,"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."}}