@other{https://resolver.caltech.edu/CaltechAUTHORS:20220524-180308552, title = "Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180308552", id = "record", doi = "10.48550/arXiv.2108.10517" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20220524-180312022, title = "Aggregation of Models, Choices, Beliefs, and Preferences", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180312022", id = "record", doi = "10.48550/arXiv.2111.11630" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20220524-180305206, title = "Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180305206", id = "record", doi = "10.48550/arXiv.2103.10935" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20220524-180318744, title = "Aggregation of Pareto optimal models", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180318744", id = "record", doi = "10.48550/arXiv.2112.04161" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20220524-180315371, title = "Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180315371", id = "record", doi = "10.48550/arXiv.2111.13037" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20210323-130821498, title = "Decision Theoretic Bootstrapping", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210323-130821498", id = "record", doi = "10.48550/arXiv.2103.09982" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20201109-155524397, title = "Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155524397", id = "record", doi = "10.48550/arXiv.2008.03920" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20201109-155527819, title = "Learning dynamical systems from data: a simple cross-validation perspective", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155527819", id = "record", doi = "10.48550/arXiv.2007.05074" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20201106-120218966, title = "Competitive Mirror Descent", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120218966", id = "record", doi = "10.48550/arXiv.2006.10179" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20190923-153747161, title = "Kernel Mode Decomposition and programmable/interpretable regression networks", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-153747161", id = "record", doi = "10.48550/arXiv.1907.08592" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20190109-112815344, title = "On testing the simulation theory", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-112815344", id = "record", doi = "10.48550/arXiv.1703.00058" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20170710-085210757, title = "Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170710-085210757", id = "record", doi = "10.48550/arXiv.1703.10761" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-094627612, title = "Metric based up-scaling", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-094627612", id = "record", doi = "10.48550/arXiv.0505223" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-073833523, title = "Brittleness of Bayesian inference and new Selberg formulas", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-073833523", id = "record", doi = "10.48550/arXiv.1304.7046" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-100431574, title = "Stochastic Variational Partitioned Runge-Kutta Integrators for Constrained Systems", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-100431574", id = "record", doi = "10.48550/arXiv.0709.2222" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-090906859, title = "Temperature and Friction Accelerated Sampling of Boltzmann-Gibbs Distribution", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-090906859", id = "record", doi = "10.48550/arXiv.1007.0995" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-101438724, title = "Ballistic Transport at Uniform Temperature", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-101438724", id = "record", doi = "10.48550/arXiv.0710.1565" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-085934570, title = "Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-085934570", id = "record", doi = "10.48550/arXiv.1006.4657" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-080348129, title = "The optimal uncertainty algorithm in the mystic framework", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-080348129", id = "record", doi = "10.48550/arXiv.1202.1055" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-065740350, title = "Conditioning Gaussian measure on Hilbert space", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-065740350", id = "record", doi = "10.48550/arXiv.1506.04208" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-103320707, title = "Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-103320707", id = "record", doi = "10.48550/arXiv.0710.4259" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20160224-082333411, title = "Equivalence of concentration inequalities for linear and non-linear functions", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-082333411", id = "record", doi = "10.48550/arXiv.1009.4913" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20111011-163848887, title = "Discrete Geometric Structures in Homogenization and Inverse Homogenization with Application to EIT", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-163848887", id = "record", doi = "10.7907/XR8W-EA85" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20111012-105135181, title = "Flux Norm Approach to Homogenization Problems with non-separated Scales", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-105135181", id = "record", doi = "10.7907/T5DC-SN48" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20111012-110532817, title = "Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-110532817", id = "record", doi = "10.7907/QZNP-SR14" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20111012-113719601, title = "Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-113719601", id = "record" } @other{https://resolver.caltech.edu/CaltechAUTHORS:20111012-113158874, title = "Optimal Uncertainty Quantification", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-113158874", id = "record", doi = "10.7907/TTW6-QD19" }