@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118577, title ="Second Order Ensemble Langevin Method for Sampling and Inverse Problems", author = "Liu, Ziming and Stuart, Andrew M. and Wang, Yixuan", journal = "arXiv", month = "August", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221221-222944367", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/112987, title ="Ensemble-Based Experimental Design for Targeted High-Resolution Simulations to Inform Climate Models", author = "Dunbar, Oliver R. A. and Howland, Michael F. and Schneider, Tapio and Stuart, Andrew M.", month = "January", year = "2022", doi = "https://doi.org/10.1002/essoar.10510142.1", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220119-572479000", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114901, title ="Convergence Rates for Learning Linear Operators from Noisy Data", author = "de Hoop, Maarten V. and Kovachki, Nikola B. and Nelsen, Nicholas H. and Stuart, Andrew M.", journal = "arXiv", month = "August", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180322099", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/110666, title ="Neural Operator: Learning Maps Between Function Spaces", author = "Kovachki, Nikola and Li, Zongyi and Liu, Burigede and Azizzadenesheli, Kamyar and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima", journal = "arXiv", month = "August", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210831-204010794", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109919, title ="A Framework for Machine Learning of Model Error in Dynamical Systems", author = "Levine, Matthew E. and Stuart, Andrew M.", journal = "arXiv", month = "July", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210139286", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109918, title ="Learning Dissipative Dynamics in Chaotic Systems", author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima", journal = "arXiv", month = "June", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210135878", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106480, title ="Fourier Neural Operator for Parametric Partial Differential Equations", author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima", journal = "arXiv", month = "October", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120140981", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106562, title ="Ensemble Kalman Inversion for Sparse Learning of Dynamical Systems from Time-Averaged Data", author = "Schneider, Tapio and Stuart, Andrew M. and Wu, Jin-Long", journal = "arXiv", month = "July", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141011032", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/103483, title ="Model Reduction and Neural Networks for Parametric PDEs", author = "Bhattacharya, Kaushik and Hosseini, Bamdad and Kovachki, Nikola B. and Stuart, Andrew M.", journal = "arXiv", month = "May", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200527-074228185", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106558, title ="Learning Stochastic Closures Using Ensemble Kalman Inversion", author = "Schneider, Tapio and Stuart, Andrew M. and Wu, Jin-Long", journal = "arXiv", month = "April", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-140955956", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102271, title ="Neural Operator: Graph Kernel Network for Partial Differential Equations", author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima", journal = "arXiv", month = "March", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200402-133318521", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106557, title ="A Simple Modeling Framework For Prediction In The Human Glucose-Insulin System", author = "Albers, D. J. and Levine, M. E. and Sirlanci, M. and Stuart, A. M.", journal = "arXiv", month = "October", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-140952547", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97317, title ="Analysis Of Momentum Methods", author = "Kovachki, Nikola B. and Stuart, Andrew M.", journal = "arXiv", month = "June", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-102107649", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97329, title ="Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and Consistency", author = "Dunlop, Matthew M. and Helin, Tapio and Stuart, Andrew M.", journal = "arXiv", month = "May", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-134133717", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94459, title ="Dimension-Robust MCMC in Bayesian Inverse Problems", author = "Chen, Victor and Dunlop, Matthew M. and Papaspiliopoulos, Omiros and Stuart, Andrew M.", journal = "arXiv", month = "March", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111029769", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94458, title ="Reconciling Bayesian and Total Variation Methods for Binary Inversion", author = "Dunlop, Matthew M. and Elliott, Charles M. and Hoang, Viet Ha and Stuart, Andrew M.", journal = "arXiv", month = "June", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111026312", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78106, title ="Convergence Analysis of the Ensemble Kalman Filter for Inverse Problems: the Noisy Case", author = "Schillings, C. and Stuart, A. M.", month = "February", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-123329512", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73040, title ="Gaussian approximations for transition paths in molecular dynamics", author = "Lu, Yulong and Stuart, Andrew M. and Weber, Hendrik", month = "April", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-182307792", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78137, title ="Stability of Filters for the Navier-Stokes Equation", author = "Brett, C. E. A. and Lam, K. F. and Law, K. J. H. and McCormick, D. S. and Scott, M. R. and Stuart, A. M.", month = "October", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-070159561", }