<h1>Stuart, Andrew</h1> <h2>Monograph from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Liu, Ziming and Stuart, Andrew M., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221221-222944367">Second Order Ensemble Langevin Method for Sampling and Inverse Problems</a>; <a href="https://doi.org/10.48550/arXiv.2208.04506">10.48550/arXiv.2208.04506</a></li> <li>Dunbar, Oliver R. A. and Howland, Michael F., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220119-572479000">Ensemble-Based Experimental Design for Targeted High-Resolution Simulations to Inform Climate Models</a>; <a href="https://doi.org/10.1002/essoar.10510142.1">10.1002/essoar.10510142.1</a></li> <li>de Hoop, Maarten V. and Kovachki, Nikola B., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220524-180322099">Convergence Rates for Learning Linear Operators from Noisy Data</a>; <a href="https://doi.org/10.48550/arXiv.2108.12515">10.48550/arXiv.2108.12515</a></li> <li>Kovachki, Nikola and Li, Zongyi, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210831-204010794">Neural Operator: Learning Maps Between Function Spaces</a>; <a href="https://doi.org/10.48550/arXiv.2108.08481">10.48550/arXiv.2108.08481</a></li> <li>Levine, Matthew E. and Stuart, Andrew M. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210139286">A Framework for Machine Learning of Model Error in Dynamical Systems</a>; <a href="https://doi.org/10.48550/arXiv.2107.06658">10.48550/arXiv.2107.06658</a></li> <li>Li, Zongyi and Kovachki, Nikola, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210135878">Learning Dissipative Dynamics in Chaotic Systems</a>; <a href="https://doi.org/10.48550/arXiv.2106.06898">10.48550/arXiv.2106.06898</a></li> <li>Li, Zongyi and Kovachki, Nikola, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201106-120140981">Fourier Neural Operator for Parametric Partial Differential Equations</a>; <a href="https://doi.org/10.48550/arXiv.2010.08895">10.48550/arXiv.2010.08895</a></li> <li>Schneider, Tapio and Stuart, Andrew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-141011032">Ensemble Kalman Inversion for Sparse Learning of Dynamical Systems from Time-Averaged Data</a>; <a href="https://doi.org/10.48550/arXiv.2007.06175">10.48550/arXiv.2007.06175</a></li> <li>Bhattacharya, Kaushik and Hosseini, Bamdad, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200527-074228185">Model Reduction and Neural Networks for Parametric PDEs</a>; <a href="https://doi.org/10.48550/arXiv.2005.03180">10.48550/arXiv.2005.03180</a></li> <li>Schneider, Tapio and Stuart, Andrew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-140955956">Learning Stochastic Closures Using Ensemble Kalman Inversion</a>; <a href="https://doi.org/10.48550/arXiv.2004.08376">10.48550/arXiv.2004.08376</a></li> <li>Li, Zongyi and Kovachki, Nikola, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200402-133318521">Neural Operator: Graph Kernel Network for Partial Differential Equations</a>; <a href="https://doi.org/10.48550/arXiv.2003.03485">10.48550/arXiv.2003.03485</a></li> <li>Albers, D. J. and Levine, M. E., el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-140952547">A Simple Modeling Framework For Prediction In The Human Glucose-Insulin System</a>; <a href="https://doi.org/10.48550/arXiv.1910.14193">10.48550/arXiv.1910.14193</a></li> <li>Kovachki, Nikola B. and Stuart, Andrew M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-102107649">Analysis Of Momentum Methods</a>; <a href="https://doi.org/10.48550/arXiv.1906.04285">10.48550/arXiv.1906.04285</a></li> <li>Dunlop, Matthew M. and Helin, Tapio, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-134133717">Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and Consistency</a>; <a href="https://doi.org/10.48550/arXiv.1905.04365">10.48550/arXiv.1905.04365</a></li> <li>Chen, Victor and Dunlop, Matthew M., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190404-111029769">Dimension-Robust MCMC in Bayesian Inverse Problems</a>; <a href="https://doi.org/10.48550/arXiv.1803.03344">10.48550/arXiv.1803.03344</a></li> <li>Dunlop, Matthew M. and Elliott, Charles M., el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190404-111026312">Reconciling Bayesian and Total Variation Methods for Binary Inversion</a>; <a href="https://doi.org/10.48550/arXiv.1706.01960">10.48550/arXiv.1706.01960</a></li> <li>Schillings, C. and Stuart, A. M. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-123329512">Convergence Analysis of the Ensemble Kalman Filter for Inverse Problems: the Noisy Case</a></li> <li>Lu, Yulong and Stuart, Andrew M., el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161220-182307792">Gaussian approximations for transition paths in molecular dynamics</a>; <a href="https://doi.org/10.48550/arXiv.1604.06594">10.48550/arXiv.1604.06594</a></li> <li>Brett, C. E. A. and Lam, K. F., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-070159561">Stability of Filters for the Navier-Stokes Equation</a>; <a href="https://doi.org/10.48550/arXiv.1110.2527">10.48550/arXiv.1110.2527</a></li> </ul>