{"id":"W1976117780","doi":"10.1214/12-ejs733","title":"Estimation of the mean for spatially dependent data belonging to a Riemannian manifold","year":2012,"lang":"en","type":"article","venue":"Electronic Journal of Statistics","topic":"Morphological variations and asymmetry","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Variogram; Estimator; Riemannian manifold; Covariance; Positive-definite matrix; Covariance matrix; Applied mathematics; Manifold (fluid mechanics); Statistics; Spatial analysis; Field (mathematics); Kriging; Pure mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001438446,0.00009042639,0.0002067895,0.00006104008,0.00008294292,0.00001750594,0.0004487037,0.00003829766,0.00003628906],"category_scores_gemma":[0.001403711,0.00006002092,0.00004578018,0.0001212271,0.00001278219,0.0001263454,0.0001009072,0.0001943901,0.000001882455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001034431,"about_ca_system_score_gemma":0.0001618225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001016606,"about_ca_topic_score_gemma":0.00007534506,"domain_scores_codex":[0.9987003,0.00005768765,0.0005110763,0.00007914074,0.0003100286,0.0003417407],"domain_scores_gemma":[0.998378,0.0005277328,0.0005472919,0.0003205727,0.0001527962,0.00007361989],"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":[0.000038881,0.0002086023,0.0007771106,0.00006725153,0.0001153847,0.000001258179,0.000320576,0.000394681,0.0003890384,0.9814528,0.0056087,0.01062575],"study_design_scores_gemma":[0.002791333,0.001811078,0.01270515,0.0003747168,0.001444922,0.0005696109,0.0004836989,0.0492851,0.006556386,0.9171325,0.006195403,0.0006500931],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03107182,0.00009463423,0.9678483,0.0003194925,0.000163673,0.0002304498,0.0002059349,0.000004097962,0.0000615712],"genre_scores_gemma":[0.7275296,0.00001005791,0.2722246,0.00004626692,0.0001064546,0.000002018632,0.000008811356,0.00001084481,0.00006131838],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6964577,"threshold_uncertainty_score":0.2447582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04659381972978054,"score_gpt":0.3270769032485266,"score_spread":0.2804830835187461,"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."}}