{"id":"W2595579230","doi":"10.1214/17-aos1676","title":"Think globally, fit locally under the manifold setup: Asymptotic analysis of locally linear embedding","year":2018,"lang":"en","type":"article","venue":"The Annals of Statistics","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":39,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"University of Toronto","keywords":"Mathematics; Manifold (fluid mechanics); Embedding; Applied mathematics; Regularization (linguistics); Nonlinear dimensionality reduction; Laplace transform; Kernel (algebra); Markov chain; Mathematical analysis; Statistics; Pure mathematics; Dimensionality reduction; Artificial intelligence; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001797531,0.0001913089,0.00042192,0.000120337,0.0001781532,0.00008371286,0.001869495,0.00007880525,0.00005055424],"category_scores_gemma":[0.0001690985,0.0001114893,0.0001642355,0.001082859,0.0003547669,0.0001234362,0.000409894,0.0001699093,0.00001566851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001219662,"about_ca_system_score_gemma":0.0001282464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001232877,"about_ca_topic_score_gemma":0.00007866245,"domain_scores_codex":[0.9979211,0.0002998337,0.0005408539,0.0002937471,0.0006005603,0.0003438731],"domain_scores_gemma":[0.9968412,0.0008282635,0.0003887848,0.001142964,0.0007148053,0.00008398333],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000276863,0.00007288247,0.00002954836,0.00003018172,0.0009354065,0.000006248455,0.001907834,0.005286214,0.0001368538,0.9621399,0.006422784,0.02300447],"study_design_scores_gemma":[0.0001269202,0.0002437259,0.002537735,0.00004241396,0.0004144706,0.000005312629,0.0001121379,0.7919691,0.0009112308,0.2031276,0.0003391861,0.0001701508],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002124621,0.000191412,0.9936551,0.002233869,0.0001427137,0.0001419134,0.000148155,0.00003054914,0.001331664],"genre_scores_gemma":[0.451123,0.0001161003,0.5456223,0.00279015,0.00009522362,0.000001597784,0.000005384959,0.00001285653,0.000233311],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7866829,"threshold_uncertainty_score":0.4546402,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07745280808389232,"score_gpt":0.3689493101509729,"score_spread":0.2914965020670806,"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."}}