{"id":"W3161217785","doi":"10.48550/arxiv.2105.07767","title":"Projections with logarithmic divergences","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Exponential family; Mathematics; Logarithm; Divergence (linguistics); Statistical manifold; Manifold (fluid mechanics); Foliation (geology); Information geometry; Exponential function; Pure mathematics; Bregman divergence; Curvature; Constant (computer programming); Combinatorics; Mathematical analysis; Geometry; Scalar curvature; Applied mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001746496,0.0008932043,0.0007263522,0.001613371,0.001337191,0.001774039,0.0006259317,0.001466535,0.00326617],"category_scores_gemma":[0.005595874,0.0003815814,0.0009674628,0.001051434,0.004584634,0.004431088,0.00257823,0.002472655,0.000476198],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001285361,"about_ca_system_score_gemma":0.0007212287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007854739,"about_ca_topic_score_gemma":0.0004726438,"domain_scores_codex":[0.9988746,0.0004178485,0.00004457072,0.0002627841,0.0002926636,0.0001075081],"domain_scores_gemma":[0.9976078,0.0009481136,0.0003357685,0.0002887521,0.000410342,0.0004093059],"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":[0.000009938172,0.000007788341,0.000364727,0.00002321458,0.000007144312,0.0000598389,0.00009595179,0.003075318,0.0005401478,0.990992,0.0005922928,0.004231616],"study_design_scores_gemma":[0.000003900191,0.00002403197,0.0004593187,0.00001130834,0.00000318185,0.0001565434,0.0000430404,0.03448372,0.0002451324,0.962131,0.002424286,0.00001454838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.229873,0.001982615,0.7316293,0.00355021,0.0003085074,0.00007529849,0.0004489604,0.0002972089,0.03183493],"genre_scores_gemma":[0.9125397,0.001719903,0.07156856,0.0005958586,0.0008128922,0.0001224523,0.0005087471,0.0001705393,0.01196131],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00326617,"threshold_uncertainty_score":0.01092637,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05720289717793009,"score_gpt":0.1825010813618962,"score_spread":0.1252981841839661,"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."}}