{"id":"W4416435293","doi":"10.48550/arxiv.2511.01064","title":"Generalized Guarantees for Variational Inference in the Presence of Even and Elliptical Symmetry","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Gaussian Processes and Bayesian Inference","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous space; Inference; Symmetry (geometry); Divergence (linguistics); Class (philosophy); Key (lock); Bayesian inference","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001485633,0.0005513073,0.0008513898,0.0003062663,0.0002426999,0.0003313575,0.003252068,0.0004565674,0.00004084129],"category_scores_gemma":[0.001839788,0.0004295845,0.0002181817,0.0009698803,0.0004392926,0.0004553219,0.001691963,0.0008259991,0.000008201983],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004991747,"about_ca_system_score_gemma":0.001296475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002326745,"about_ca_topic_score_gemma":0.00005774504,"domain_scores_codex":[0.9956248,0.0003892276,0.001296202,0.001378783,0.0006575051,0.0006535],"domain_scores_gemma":[0.9939562,0.003486803,0.000609939,0.001294588,0.0005438578,0.0001086237],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.0001287807,0.0004338081,0.2546749,0.001955189,0.0001246648,0.00001060313,0.003903416,0.000988756,0.0002904004,0.7292111,0.0001202551,0.00815815],"study_design_scores_gemma":[0.001411049,0.0002827606,0.5364777,0.001670596,0.0001287374,0.00001384787,0.0001533884,0.2852839,0.0007501743,0.1724328,0.000653405,0.0007416338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3045378,0.001105224,0.6876381,0.004073047,0.0006934953,0.001269014,0.0001170657,0.00002656854,0.0005397095],"genre_scores_gemma":[0.9638945,0.0009614134,0.03384481,0.000511202,0.0001665858,0.0002870145,0.00001872886,0.0000113924,0.0003043222],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6593568,"threshold_uncertainty_score":0.9998156,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0445587284743288,"score_gpt":0.3093164954479073,"score_spread":0.2647577669735785,"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."}}