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    journal = "Applied Mathematics and Mechanics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230502-759894900.1",
    id = "record",
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    id = "record",
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    journal = "Dolomites Research Notes on Approximation",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220511-647768900",
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    journal = "Physica D: Nonlinear Phenomena",
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    id = "record",
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    journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",
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    journal = "Physica D",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210208-140557660",
    id = "record",
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    title = "Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation",
    journal = "Mathematics of Computation",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141002843",
    id = "record",
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    title = "Sparse Cholesky Factorization by Kullback-Leibler Minimization",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155534680",
    id = "record",
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    journal = "Multiscale Modeling and Simulation",
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    id = "record",
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    title = "Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-154306921",
    id = "record",
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    title = "De-noising by thresholding operator adapted wavelets",
    journal = "Statistics and Computing",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-104545857",
    id = "record",
    issn = "0960-3174",
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    journal = "ACM Transactions on Graphics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20191111-134055447",
    id = "record",
    issn = "0730-0301",
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    title = "Multiresolution Operator Decomposition for Flow Simulation in Fractured Porous Media",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-090349439",
    id = "record",
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    title = "Kernel Flows: From learning kernels from data into the abyss",
    journal = "Journal of Computational Physics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190328-180953225",
    id = "record",
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    title = "Operator-adapted wavelets for finite-element differential forms",
    journal = "Journal of Computational Physics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190315-100824617",
    id = "record",
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    title = "Qualitative Robustness in Bayesian Inference",
    journal = "ESAIM: Probability and Statistics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-152453383",
    id = "record",
    issn = "1292-8100",
    doi = "10.1051/ps/2017014",
    volume = "21"
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    title = "Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients",
    journal = "Journal of Computational Physics",
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    id = "record",
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    journal = "Journal of Dynamic Systems, Measurement, and Control",
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    id = "record",
    issn = "0022-0434",
    doi = "10.1115/1.4036367",
    volume = "139"
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    title = "Separability of reproducing kernel Hilbert spaces",
    journal = "Proceedings of the American Mathematical Society",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-070508936",
    id = "record",
    issn = "0002-9939",
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    title = "Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games",
    journal = "SIAM Review",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-133809979",
    id = "record",
    issn = "0036-1445",
    doi = "10.1137/15M1013894",
    volume = "59"
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    title = "Extreme points of a ball about a measure with finite support",
    journal = "Communications in Mathematical Sciences",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-151629237",
    id = "record",
    issn = "1539-6746",
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    volume = "15"
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    title = "Variational and linearly implicit integrators, with applications",
    journal = "IMA Journal of Numerical Analysis",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160317-083434102",
    id = "record",
    issn = "0272-4979",
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    volume = "36"
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    title = "Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest",
    journal = "Archive for Rational Mechanics and Analysis",
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    id = "record",
    issn = "0003-9527",
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    volume = "220"
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    journal = "SIAM Journal of Optimization",
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    id = "record",
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    volume = "25"
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    id = "record",
    issn = "1540-3459",
    doi = "10.1137/140974596",
    volume = "13"
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    title = "On the Brittleness of Bayesian Inference",
    journal = "SIAM Review",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160108-105121903",
    id = "record",
    issn = "0036-1445",
    doi = "10.1137/130938633",
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    journal = "Electronic Journal of Statistics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160108-101302184",
    id = "record",
    issn = "1935-7524",
    doi = "10.1214/15-EJS989",
    volume = "9"
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    title = "Optimal uncertainty quantification with model uncertainty and legacy data",
    journal = "Journal of the Mechanics and Physics of Solids",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141201-081327318",
    id = "record",
    issn = "0022-5096",
    doi = "10.1016/j.jmps.2014.07.007",
    volume = "72"
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    title = "Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization",
    journal = "ESAIM-Mathematical Modelling and Numerical Analysis",
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    id = "record",
    issn = "0764-583X",
    doi = "10.1051/m2an/2013118",
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    title = "Preface",
    journal = "ESAIM: Mathematical Modelling and Numerical Analysis",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-085030779",
    id = "record",
    issn = "0764-583X",
    doi = "10.1051/m2an/2013108",
    volume = "48"
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    title = "Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions",
    journal = "ESAIM-Mathematical Modelling and Numerical Analysis",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20131119-093417975",
    id = "record",
    issn = "0764-583X",
    doi = "10.1051/m2an/2013083",
    volume = "47"
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    title = "On the equilibrium of simplicial masonry structures",
    journal = "ACM Transactions on Graphics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130829-153504635",
    id = "record",
    issn = "0730-0301",
    doi = "10.1145/2461912.2461932",
    volume = "32"
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    title = "Variational integrators for electric circuits",
    journal = "Journal of Computational Physics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130628-141442082",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2013.02.006",
    volume = "242"
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@article{https://resolver.caltech.edu/CaltechAUTHORS:20130618-075057070,
    title = "Optimal Uncertainty Quantification",
    journal = "SIAM Review",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130618-075057070",
    id = "record",
    issn = "0036-1445",
    doi = "10.1137/10080782X",
    volume = "55"
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    title = "Control of a model of DNA division via parametric resonance",
    journal = "Chaos",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130502-133827036",
    id = "record",
    issn = "1054-1500",
    doi = "10.1063/1.4790835",
    volume = "23"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20120502-091106236,
    title = "Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter",
    journal = "Journal of the Mechanics and Physics of Solids",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120502-091106236",
    id = "record",
    issn = "0022-5096",
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    volume = "60"
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    journal = "Journal of the Mechanics and Physics of Solids",
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    id = "record",
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@article{https://resolver.caltech.edu/CaltechAUTHORS:20120126-112528320,
    title = "Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120126-112528320",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/100813968",
    volume = "9"
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    title = "Rigorous uncertainty quantification without integral testing",
    journal = "Reliability Engineering and System Safety",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110822-140452319",
    id = "record",
    issn = "0951-8320",
    doi = "10.1016/j.ress.2010.07.013",
    volume = "96"
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    title = "A non-adapted sparse approximation of PDEs with stochastic inputs",
    journal = "Journal of Computational Physics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110414-085411000",
    id = "record",
    issn = "0021-9991",
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    volume = "230"
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    title = "Uncertainty quantification via codimension-one partitioning",
    journal = "International Journal for Numerical Methods in Engineering",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110315-151154130",
    id = "record",
    issn = "0029-5981",
    doi = "10.1002/nme.3030",
    volume = "85"
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@article{https://resolver.caltech.edu/CaltechAUTHORS:20110502-134102771,
    title = "Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs",
    journal = "Dynamics of Partial Differential Equations",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110502-134102771",
    id = "record",
    issn = "1548-159X",
    doi = "10.48550/arXiv.1104.0272",
    volume = "8"
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@article{https://resolver.caltech.edu/CaltechAUTHORS:20120215-101206163,
    title = "From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials",
    journal = "Applied Mathematics Research eXpress",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120215-101206163",
    id = "record",
    issn = "1687-1200",
    doi = "10.1093/amrx/abr008",
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@article{https://resolver.caltech.edu/CaltechAUTHORS:20110318-145129123,
    title = "A cutoff phenomenon in accelerated stochastic simulations of chemical kinetics via flow averaging (FLAVOR-SSA)",
    journal = "Journal of Chemical Physics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110318-145129123",
    id = "record",
    issn = "0021-9606",
    doi = "10.1063/1.3518419",
    volume = "133"
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    title = "Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast",
    journal = "Archive for Rational Mechanics and Analysis",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101025-093609352",
    id = "record",
    issn = "0003-9527",
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    id = "record",
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    journal = "Journal of Computational and Nonlinear Dynamics",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100709-105908209",
    id = "record",
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    id = "record",
    issn = "1877-0428",
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    id = "record",
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    volume = "8"
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    journal = "SIAM Journal on Numerical Analysis",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100609-111014824",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/090758842",
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