@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/121302, title ="Gaussian process hydrodynamics", author = "Owhadi, H.", journal = "Applied Mathematics and Mechanics", month = "April", year = "2023", doi = "https://doi.org/10.1007/s10483-023-2990-9", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230502-759894900.1", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/121722, title ="A note on microlocal kernel design for some slow–fast stochastic differential equations with critical transitions and application to EEG signals", author = "Hamzi, Boumediene and Owhadi, Houman and Paillet, Léo", journal = "Physica A", volume = "616", pages = "Art. No. 128583", month = "April", year = "2023", doi = "https://doi.org/10.1016/j.physa.2023.128583", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230605-334829000.12", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119814, title ="Do ideas have shape? Idea registration as the continuous limit of artificial neural networks", author = "Owhadi, Houman", journal = "Physica D", volume = "444", pages = "Art. No. 133592", month = "February", year = "2023", doi = "https://doi.org/10.1016/j.physd.2022.133592", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230307-205876300.5", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119820, title ="One-shot learning of stochastic differential equations with data adapted kernels", author = "Darcy, Matthieu and Hamzi, Boumediene and Livieri, Giulia and Owhadi, Houman and Tavallali, Peyman", journal = "Physica D", volume = "444", pages = "Art. No. 133583", month = "February", year = "2023", doi = "https://doi.org/10.1016/j.physd.2022.133583", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230307-205876300.8", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117990, title ="Learning dynamical systems from data: A simple cross-validation perspective, Part III: Irregularly-sampled time series", author = "Lee, Jonghyeon and De Brouwer, Edward and Hamzi, Boumediene and Owhadi, Houman", journal = "Physica D", volume = "443", pages = "Art. No. 133546", month = "January", year = "2023", doi = "https://doi.org/10.1016/j.physd.2022.133546", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221122-564647900.3", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117504, title ="Learning \"best\" kernels from data in Gaussian process regression. With application to aerodynamics", author = "Akian, J.-L. and Bonnet, L. and Owhadi, H. and Savin, É.", journal = "Journal of Computational Physics", volume = "470", pages = "Art. No. 111595", month = "December", year = "2022", doi = "https://doi.org/10.1016/j.jcp.2022.111595", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221020-727675300.1", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/121706, title ="Mean-field limits of trained weights in deep learning: A dynamical systems perspective", author = "Smirnov, Alexandre and Hamzi, Boumediene and Owhadi, Houman", journal = "Dolomites Research Notes on Approximation", volume = "15", number = "3", pages = "125-145", month = "October", year = "2022", doi = "https://doi.org/10.14658/pupj-drna-2022-3-12", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230603-041912328", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114687, title ="Computational graph completion", author = "Owhadi, Houman", journal = "Research in the Mathematical Sciences", volume = "9", number = "2", pages = "Art. No. 27", month = "June", year = "2022", doi = "https://doi.org/10.1007/s40687-022-00320-8", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220511-647768900", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109921, title ="Solving and learning nonlinear PDEs with Gaussian processes", author = "Chen, Yifan and Hosseini, Bamdad and Owhadi, Houman and Stuart, Andrew M.", journal = "Journal of Computational Physics", volume = "447", pages = "Art. No. 110668", month = "December", year = "2021", doi = "https://doi.org/10.1016/j.jcp.2021.110668", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210146136", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114900, title ="Aggregation of Pareto optimal models", author = "Hamze Bajgiran, Hamed and Owhadi, Houman", journal = "arXiv", month = "December", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180318744", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114899, title ="Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series", author = "Lee, Jonghyeon and De Brouwer, Edward and Hamzi, Boumediene and Owhadi, Houman", journal = "arXiv", month = "November", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180315371", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114898, title ="Aggregation of Models, Choices, Beliefs, and Preferences", author = "Hamze Bajgiran, Hamed and Owhadi, Houman", journal = "arXiv", month = "November", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180312022", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106580, title ="Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows", author = "Yoo, Gene Ryan and Owhadi, Houman", journal = "Physica D: Nonlinear Phenomena", volume = "426", pages = "Art. No. 132952", month = "November", year = "2021", doi = "https://doi.org/10.1016/j.physd.2021.132952", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201110-075343797", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114897, title ="Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball", author = "Hamze Bajgiran, Hamed and Batlle Franch, Pau and Owhadi, Houman and Scovel, Clint and Shirdel, Mahdy and Stanley, Michael and Tavallali, Peyman", journal = "arXiv", month = "August", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180308552", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109926, title ="Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels", author = "Hamzi, B. and Maulik, R. and Owhadi, H.", journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences", volume = "477", number = "2252", pages = "Art. No. 20210326", month = "August", year = "2021", doi = "https://doi.org/10.1098/rspa.2021.0326", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210203260", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107955, title ="Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows", author = "Hamzi, Boumediene and Owhadi, Houman", journal = "Physica D", volume = "421", pages = "Art. No. 132817", month = "July", year = "2021", doi = "https://doi.org/10.1016/j.physd.2020.132817", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210208-140557660", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106560, title ="Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation", author = "Chen, Yifang and Owhadi, Houman and Stuart, Andrew M.", journal = "Mathematics of Computation", volume = "90", pages = "2527-2578", month = "June", year = "2021", doi = "https://doi.org/10.1090/mcom/3649", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141002843", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106572, title ="Sparse Cholesky Factorization by Kullback-Leibler Minimization", author = "Schäfer, Florian and Katzfuss, Matthias and Owhadi, Houman", journal = "SIAM Journal on Scientific Computing", volume = "43", number = "3", pages = "A2019-A2046", month = "June", year = "2021", doi = "https://doi.org/10.1137/20M1336254", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155534680", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78882, title ="Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity", author = "Schäfer, Florian and Sullivan, T. J. and Owhadi, Houman", journal = "Multiscale Modeling and Simulation", volume = "19", number = "2", pages = "688-730", month = "April", year = "2021", doi = "https://doi.org/10.1137/19M129526X", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170710-083743909", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108529, title ="Decision Theoretic Bootstrapping", author = "Tavallali, Peyman and Hamze Bajgiran, Hamed and Esaid, Danial J. and Owhadi, Houman", journal = "arXiv", month = "March", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210323-130821498", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114896, title ="Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods", author = "Hamzi, Boumediene and Maulik, Romit and Owhadi, Houman", journal = "arXiv", month = "February", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180305206", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106569, title ="Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks", author = "Owhadi, Houman", journal = "arXiv", month = "August", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155524397", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106570, title ="Learning dynamical systems from data: a simple cross-validation perspective", author = "Hamzi, Boumediene and Owhadi, Houman", journal = "arXiv", month = "July", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155527819", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106491, title ="Competitive Mirror Descent", author = "Schäfer, Florian and Anandkumar, Anima and Owhadi, Houman", journal = "arXiv", month = "June", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120218966", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/98807, title ="Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction", author = "Xie, Hehu and Zhang, Lei and Owhadi, Houman", journal = "SIAM Journal on Numerical Analysis", volume = "57", number = "6", pages = "2519-2550", month = "November", year = "2019", doi = "https://doi.org/10.1137/18M1194079", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-154306921", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/98797, title ="De-noising by thresholding operator adapted wavelets", author = "Yoo, Gene Ryan and Owhadi, Houman", journal = "Statistics and Computing", volume = "29", number = "6", pages = "1185-1201", month = "November", year = "2019", doi = "https://doi.org/10.1007/s11222-019-09893-x", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-104545857", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/99780, title ="Material-adapted refinable basis functions for elasticity simulation", author = "Chen, Jiong and Budninskiy, Max and Owhadi, Houman and Bao, Hujun and Huang, Jin and Desbrun, Mathieu", journal = "ACM Transactions on Graphics", volume = "38", number = "6", pages = "Art. No. 161", month = "November", year = "2019", doi = "https://doi.org/10.1145/3355089.3356567", url = "https://resolver.caltech.edu/CaltechAUTHORS:20191111-134055447", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/92155, title ="Multiresolution Operator Decomposition for Flow Simulation in Fractured Porous Media", author = "Zhang, Qingfu and Owhadi, Houman and Yao, Jun and Schäfer, Florian and Huang, Zhaoqin and Li, Yang", journal = "Journal of Computational Physics", volume = "391", pages = "381-396", month = "August", year = "2019", doi = "https://doi.org/10.1016/j.jcp.2018.12.032", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-090349439", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/98806, title ="Kernel Mode Decomposition and programmable/interpretable regression networks", author = "Owhadi, Houman and Scovel, Clint and Yoo, Gene Ryan", journal = "arXiv", month = "July", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-153747161", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94269, title ="Kernel Flows: From learning kernels from data into the abyss", author = "Owhadi, Houman and Yoo, Gene Ryan", journal = "Journal of Computational Physics", volume = "389", pages = "22-47", month = "July", year = "2019", doi = "https://doi.org/10.1016/j.jcp.2019.03.040", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190328-180953225", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/93861, title ="Operator-adapted wavelets for finite-element differential forms", author = "Budninskiy, Max and Owhadi, Houman and Desbrun, Mathieu", journal = "Journal of Computational Physics", volume = "388", pages = "144-177", month = "July", year = "2019", doi = "https://doi.org/10.1016/j.jcp.2019.02.018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190315-100824617", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64689, title ="Qualitative Robustness in Bayesian Inference", author = "Owhadi, Houman and Scovel, Clint", journal = "ESAIM: Probability and Statistics", volume = "21", pages = "251-274", month = "December", year = "2017", doi = "https://doi.org/10.1051/ps/2017014", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-152453383", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78836, title ="Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients", author = "Owhadi, Houman and Zhang, Lei", journal = "Journal of Computational Physics", volume = "347", pages = "99-128", month = "October", year = "2017", doi = "https://doi.org/10.1016/j.jcp.2017.06.037", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170707-092240450", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/80807, title ="Self-Powered Dynamic Systems in the Framework of Optimal Uncertainty Quantification", author = "Khoshnoud, Farbod and Esat, Ibrahim I. and de Silva, Clarence W. and McKerns, Michael M. and Owhadi, Houman", journal = "Journal of Dynamic Systems, Measurement, and Control", volume = "139", number = "9", pages = "Art. No. 091005", month = "September", year = "2017", doi = "https://doi.org/10.1115/1.4036367", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170825-144657432", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64708, title ="Toward Machine Wald", author = "Owhadi, Houman and Scovel, Clint", pages = "157-191", month = "June", year = "2017", doi = "https://doi.org/10.1007/978-3-319-12385-1_3", isbn = "978-3-319-12384-4", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-064915023", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78885, title ="Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis", author = "Owhadi, Houman and Scovel, Clint", month = "May", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170710-085210757", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64710, title ="Separability of reproducing kernel Hilbert spaces", author = "Owhadi, Houman and Scovel, Clint", journal = "Proceedings of the American Mathematical Society", volume = "145", number = "5", pages = "2131-2138", month = "May", year = "2017", doi = "https://doi.org/10.1090/proc/13354", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-070508936", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/92171, title ="On testing the simulation theory", author = "Campbell, Tom and Owhadi, Houman and Sauvageauz, Joe and Watkinson, David", month = "February", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-112815344", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64685, title ="Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games", author = "Owhadi, Houman", journal = "SIAM Review", volume = "59", number = "1", pages = "99-149", month = "February", year = "2017", doi = "https://doi.org/10.1137/15M1013894", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-133809979", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97974, title ="The game theoretic approach to Uncertainty Quantification, reduced order modeling and numerical analysis", author = "Owhadi, Houman", pages = "Art. No. 2017-1092", month = "January", year = "2017", doi = "https://doi.org/10.2514/6.2017-1092", isbn = "9781624104527", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190816-144341264", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64687, title ="Extreme points of a ball about a measure with finite support", author = "Owhadi, Houman and Scovel, Clint", journal = "Communications in Mathematical Sciences", volume = "15", number = "1", pages = "77-96", month = "January", year = "2017", doi = "https://doi.org/10.4310/CMS.2017.v15.n1.a4", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-151629237", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/77906, title ="Self-Powered and Bio-Inspired Dynamic Systems: Research and Education", author = "Khoshnoud, Farbod and Esat, Ibrahim I. and Bonser, Richard H. C. and de Silva, Clarence W. and McKerns, Michael M. and Owhadi, Houman", volume = "4A", pages = "Art. No. V04AT05A046", month = "November", year = "2016", doi = "https://doi.org/10.1115/IMECE2016-65276", isbn = "978-0-7918-5054-1", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170602-084400992", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65413, title ="Variational and linearly implicit integrators, with applications", author = "Tao, Molei and Owhadi, Houman", journal = "IMA Journal of Numerical Analysis", volume = "36", number = "1", pages = "80-107", month = "January", year = "2016", doi = "https://doi.org/10.1093/imanum/dru064", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160317-083434102", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78251, title ="Introduction to Uncertainty Quantification", author = "Ghanem, Roger and Higdon, David and Owhadi, Houman", pages = "1-4", month = "January", year = "2016", doi = "https://doi.org/10.1007/978-3-319-11259-6_1-1", isbn = "978-3-319-11259-6", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170615-123732747", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64713, title ="Brittleness of Bayesian inference and new Selberg formulas", author = "Owhadi, Houman and Scovel, Clint", month = "October", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-073833523", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64712, title ="Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest", author = "Tao, Molei and Owhadi, Houman", journal = "Archive for Rational Mechanics and Analysis", volume = "220", number = "1", pages = "261-296", month = "October", year = "2015", doi = "https://doi.org/10.1007/s00205-015-0932-4", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-071627521", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64709, title ="Conditioning Gaussian measure on Hilbert space", author = "Owhadi, Houman and Scovel, Clint", month = "September", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-065740350", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/61485, title ="Bayesian Numerical Homogenization", author = "Owhadi, Houman", journal = "Multiscale Modeling and Simulation", volume = "13", number = "3", pages = "812-828", month = "July", year = "2015", doi = "https://doi.org/10.1137/140974596 ", url = "https://resolver.caltech.edu/CaltechAUTHORS:20151023-105214463", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/61734, title ="Convex Optimal Uncertainty Quantification", author = "Han, Shuo and Tao, Molei and Topcu, Ufuk and Owhadi, Houman and Murray, Richard M.", journal = "SIAM Journal of Optimization", volume = "25", number = "3", pages = "1368-1387", month = "July", year = "2015", doi = "https://doi.org/10.1137/13094712X", url = "https://resolver.caltech.edu/CaltechAUTHORS:20151030-084615377", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/63492, title ="Brittleness of Bayesian inference under finite information in a continuous world", author = "Owhadi, Houman and Scovel, Clint and Sullivan, Tim", journal = "Electronic Journal of Statistics", volume = "9", number = "1", pages = "1-79", month = "January", year = "2015", doi = "https://doi.org/10.1214/15-EJS989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160108-101302184", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/63498, title ="On the Brittleness of Bayesian Inference", author = "Owhadi, Houman and Scovel, Clint and Sullivan, Tim", journal = "SIAM Review", volume = "57", number = "4", pages = "566-582", month = "January", year = "2015", doi = "https://doi.org/10.1137/130938633", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160108-105121903", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/52194, title ="Optimal uncertainty quantification with model uncertainty and legacy data", author = "Kamga, P.-H. T. and Li, B. and McKerns, M. and Nguyen, L. H. and Ortiz, M. and Owhadi, H. and Sullivan, T. J.", journal = "Journal of the Mechanics and Physics of Solids", volume = "72", pages = "1-19", month = "December", year = "2014", doi = "https://doi.org/10.1016/j.jmps.2014.07.007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20141201-081327318", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64686, title ="Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization", author = "Owhadi, Houman and Zhang, Lei and Berlyand, Leonid", journal = "ESAIM-Mathematical Modelling and Numerical Analysis", volume = "48", number = "2", pages = "517-552", month = "March", year = "2014", doi = "https://doi.org/10.1051/m2an/2013118", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160223-143844457", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64724, title ="Preface", author = "Balarac, Guillaume and Owhadi, Houman", journal = "ESAIM: Mathematical Modelling and Numerical Analysis", volume = "48", number = "2", pages = "305", month = "January", year = "2014", doi = "https://doi.org/10.1051/m2an/2013108", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-085030779", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/42555, title ="Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions", author = "Sullivan, T. J. and McKerns, M. and Meyer, D. and Theil, F. and Owhadi, H. and Ortiz, M.", journal = "ESAIM-Mathematical Modelling and Numerical Analysis", volume = "47", number = "6", pages = "1657-1689", month = "November", year = "2013", doi = "https://doi.org/10.1051/m2an/2013083 ", url = "https://resolver.caltech.edu/CaltechAUTHORS:20131119-093417975", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108182, title ="Modeling Across Scales: Discrete Geometric Structures in Homogenization and Inverse Homogenization", author = "Desbrun, Mathieu and Donaldson, Roger D. and Owhadi, Houman", pages = "19-64", month = "July", year = "2013", doi = "https://doi.org/10.1002/9783527671632.ch02", isbn = "9783527671632", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210224-145143008", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/41015, title ="On the equilibrium of simplicial masonry structures", author = "de Goes, Fernando and Alliez, Pierre and Owhadi, Houman and Desbrun, Mathieu", journal = "ACM Transactions on Graphics", volume = "32", number = "4", pages = "Art. No. 93", month = "July", year = "2013", doi = "https://doi.org/10.1145/2461912.2461932 ", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130829-153504635", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/39150, title ="Variational integrators for electric circuits", author = "Ober-Blöbaum, Sina and Tao, Molei and Cheng, Mulin and Owhadi, Houman and Marsden, Jerrold E.", journal = "Journal of Computational Physics", volume = "242", pages = "498-530", month = "June", year = "2013", doi = "https://doi.org/10.1016/j.jcp.2013.02.006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130628-141442082", } @book_section {CaltechCDSTR_https://authors.library.caltech.edu/id/eprint/34293, title ="Convex optimal uncertainty quantification: Algorithms and a case study in energy storage placement for power grids", author = "Han, Shuo and Topcu, Ufuk and Tao, Molei and Owhadi, Houman and Murray, Richard M.", pages = "1130-1137", month = "June", year = "2013", isbn = "978-1-4799-0177-7", url = "https://resolver.caltech.edu/CaltechCDSTR:2012.002", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/38962, title ="Optimal Uncertainty Quantification", author = "Owhadi, H. and Scovel, C. and Sullivan, T. J. and McKerns, M. and Ortiz, M.", journal = "SIAM Review", volume = "55", number = "2", pages = "271-345", month = "May", year = "2013", doi = "https://doi.org/10.1137/10080782X", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130618-075057070", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64731, title ="Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums", author = "Bou-Rabee, Nawaf and Owhadi, Houman", month = "April", year = "2013", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-103320707", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/38248, title ="Control of a model of DNA division via parametric resonance", author = "Koon, Wang Sang and Owhadi, Houman and Tao, Molei and Yanao, Tomohiro", journal = "Chaos", volume = "23", number = "1", pages = "Art. No. 013117", month = "March", year = "2013", doi = "https://doi.org/10.1063/1.4790835", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130502-133827036", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/31267, title ="Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter", author = "Kidane, A. and Lashgari, A. and Li, B. and McKerns, M. and Ortiz, M. and Owhadi, H. and Ravichandran, G. and Stalzer, M. and Sullivan, T. J.", journal = "Journal of the Mechanics and Physics of Solids", volume = "60", number = "5", pages = "983-1001", month = "May", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120502-091106236", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/30402, title ="Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter", author = "Adams, M. and Lashgari, A. and Li, B. and McKerns, M. and Mihaly, J. and Ortiz, M. and Owhadi, H. and Rosakis, A. J. and Stalzer, M. and Sullivan, T. J.", journal = "Journal of the Mechanics and Physics of Solids", volume = "60", number = "5", pages = "1002-1019", month = "May", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120430-133945935", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64716, title ="The optimal uncertainty algorithm in the mystic framework", author = "McKerns, M. and Owhadi, H. and Scovel, C. and Sullivan, T. J. and Ortiz, M.", month = "February", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-080348129", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/28984, title ="Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast", author = "Owhadi, Houman and Zhang, Lei", journal = "Multiscale Modeling and Simulation", volume = "9", number = "4", pages = "1373-1398", month = "November", year = "2011", doi = "https://doi.org/10.1137/100813968", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120126-112528320", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24982, title ="Rigorous uncertainty quantification without integral testing", author = "Topcu, U. and Lucas, L. J. and Owhadi, H. and Ortiz, M.", journal = "Reliability Engineering and System Safety", volume = "96", number = "9", pages = "1085-1091", month = "September", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110822-140452319", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23320, title ="A non-adapted sparse approximation of PDEs with stochastic inputs", author = "Doostan, Alireza and Owhadi, Houman", journal = "Journal of Computational Physics", volume = "230", number = "8", pages = "3015-3034", month = "April", year = "2011", doi = "https://doi.org/10.1016/j.jcp.2011.01.002 ", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110414-085411000", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/22912, title ="Uncertainty quantification via codimension-one partitioning", author = "Sullivan, T. J. and Topcu, U. and McKerns, M. and Owhadi, H.", journal = "International Journal for Numerical Methods in Engineering", volume = "85", number = "12", pages = "1499-1521", month = "March", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110315-151154130", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23526, title ="Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs", author = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", journal = "Dynamics of Partial Differential Equations", volume = "8", number = "1", pages = "21-45", month = "March", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110502-134102771", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/29301, title ="From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials", author = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", journal = "Applied Mathematics Research eXpress", volume = "2011", number = "2", pages = "242-280", month = "January", year = "2011", doi = "https://doi.org/10.1093/amrx/abr008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120215-101206163", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/22983, title ="A cutoff phenomenon in accelerated stochastic simulations of chemical kinetics via flow averaging (FLAVOR-SSA)", author = "Bayati, Basil and Owhadi, Houman and Koumoutsakos, Petros", journal = "Journal of Chemical Physics", volume = "133", number = "24", pages = "Art. No. 244117", month = "December", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110318-145129123", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20494, title ="Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast", author = "Berlyand, Leonid and Owhadi, Houman", journal = "Archive for Rational Mechanics and Analysis", volume = "198", number = "2", pages = "677-721", month = "November", year = "2010", doi = "https://doi.org/10.1007/s00205-010-0302-1 ", url = "https://resolver.caltech.edu/CaltechAUTHORS:20101025-093609352", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27193, title ="Localized bases for finite dimensional homogenization\r approximations with non-separated scales and high-contrast", author = "Owhadi, Houman and Zhang, Lei", number = "2010-04", month = "November", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-113719601", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64721, title ="Equivalence of concentration inequalities for linear and non-linear functions", author = "Sullivan, T. J. and Owhadi, H.", month = "September", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-082333411", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27192, title ="Optimal Uncertainty Quantification", author = "Owhadi, H. and Scovel, C. and Sullivan, T. J. and McKerns, M. and Ortiz, M.", number = "2010-03", month = "September", year = "2010", doi = "https://doi.org/10.7907/TTW6-QD19", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-113158874", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20161, title ="Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging", author = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", journal = "Multiscale Modeling and Simulation", volume = "8", number = "4", pages = "1269-1324", month = "July", year = "2010", doi = "https://doi.org/10.1137/090771648", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100927-105248361", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64726, title ="Temperature and Friction Accelerated Sampling of Boltzmann-Gibbs Distribution", author = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", month = "July", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-090906859", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18960, title ="Optimal Control Strategies for Robust Certification", author = "Leyendecker, Sigrid and Lucas, Leonard J. and Owhadi, Houman and Ortiz, Michael", journal = "Journal of Computational and Nonlinear Dynamics", volume = "5", number = "3", pages = "Art. No. 031008", month = "July", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100709-105908209", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/92163, title ="Uncertainty quantification via codimension one domain partitioning and a new concentration inequality", author = "Sullivan, Timothy J. and McKerns, Mike and Topcu, Ufuk and Owhadi, Houman", journal = "Procedia - Social and Behavioral Sciences", volume = "2", number = "6", pages = "7751-7752", month = "June", year = "2010", doi = "https://doi.org/10.1016/j.sbspro.2010.05.211", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-104739732", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64725, title ="Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position", author = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", month = "June", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-085934570", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23805, title ="Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates", author = "Zhang, Lei and Berlyand, Leonid and Fedorov, Maxim V. and Owhadi, Houman", journal = "Multiscale Modeling & Simulation", volume = "8", number = "5", pages = "1958-1980", month = "January", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110526-090344006", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18618, title ="Long-Run Accuracy of Variational Integrators in the Stochastic Context", author = "Bou-Rabee, Nawaf and Owhadi, Houman", journal = "SIAM Journal on Numerical Analysis", volume = "48", number = "1", pages = "278-297", month = "January", year = "2010", doi = "https://doi.org/10.1137/090758842 ", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100609-111014824", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/75495, title ="Multiple target detection using Bayesian learning", author = "Nair, Sujit and Chevva, Konda Reddy and Owhadi, Houman and Marsden, Jerrold", pages = "8549-8554", month = "December", year = "2009", doi = "https://doi.org/10.1109/CDC.2009.5399565", isbn = "978-1-4244-3871-6", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170328-173555191", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27172, title ="Discrete Geometric Structures in Homogenization and Inverse Homogenization with Application to EIT", author = "Desbrun, Mathieu and Donaldson, Roger D. and Owhadi, Houman", number = "2009-02", month = "August", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-163848887", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27185, title ="Flux Norm Approach to Homogenization Problems with non-separated Scales", author = "Berlyand, Leonid and Owhadi, Houman", number = "2009-03", month = "August", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-105135181", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27186, title ="Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging", author = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", number = "2009-04", month = "August", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-110532817", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15822, title ="Numerical coarsening of inhomogeneous elastic materials", author = "Kharevych, Lily and Mullen, Patrick and Owhadi, Houman and Desbrun, Mathieu", journal = "ACM Transactions on Graphics", volume = "28", number = "3", pages = "Art. No. 51", month = "August", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090911-153604312", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/72060, title ="Numerical coarsening of inhomogeneous elastic materials", author = "Kharevych, Lily and Mullen, Patrick and Owhadi, Houman and Desbrun, Mathieu", pages = "Art. No. 51", month = "August", year = "2009", doi = "https://doi.org/10.1145/1576246.1531357", isbn = "978-1-60558-726-4", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161116-134645591", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14570, title ="Stochastic variational integrators", author = "Bou-Rabee, Nawaf and Owhadi, Houman", journal = "IMA Journal of Numerical Analysis", volume = "29", number = "2", pages = "421-443", month = "April", year = "2009", doi = "https://doi.org/10.1093/imanum/drn018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090713-115112523", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/12939, title ="Numerical homogenization of the acoustic wave equations with a continuum of scales", author = "Owhadi, Houman and Zhang, Lei", journal = "Computer Methods in Applied Mechanics and Engineering", volume = "198", number = "3-4", pages = "397-406", month = "December", year = "2008", doi = "https://doi.org/10.1016/j.cma.2008.08.012", url = "https://resolver.caltech.edu/CaltechAUTHORS:OWHcmame08", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/12554, title ="Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities", author = "Lucas, L. J. and Owhadi, H. and Ortiz, M.", journal = "Computer Methods in Applied Mechanics and Engineering", volume = "197", number = "51-52", pages = "4591-4609", month = "October", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:LUCcmame08", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64800, title ="Bistable Equilibrium Points of Mercury Body Burden", author = "Owhadi, Houman and Boulos, Areen", journal = "Journal of Biological Systems", volume = "16", number = "1", pages = "139-150", month = "March", year = "2008", doi = "https://doi.org/10.1142/S0218339008002459", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160226-104801314", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9431, title ="Homogenization of Parabolic Equations with a Continuum of Space and Time Scales", author = "Owhadi, Houman and Zhang, Lei", journal = "SIAM Journal on Numerical Analysis", volume = "46", number = "1", pages = "1-36", month = "December", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:OWHsiamjna07", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64730, title ="Ballistic Transport at Uniform Temperature", author = "Bou-Rabee, Nawaf and Owhadi, Houman", month = "October", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-101438724", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64729, title ="Stochastic Variational Partitioned Runge-Kutta Integrators for Constrained Systems", author = "Bou-Rabee, Nawaf and Owhadi, Houman", month = "September", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-100431574", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64728, title ="Metric based up-scaling", author = "Owhadi, Houman and Zhang, Lei", month = "November", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-094627612", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/92165, title ="From a market of dreamers to economical shocks", author = "Owhadi, Houman", journal = "Physica A", volume = "343", pages = "583-602", month = "November", year = "2004", doi = "https://doi.org/10.1016/j.physa.2004.05.078", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-105904110", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64739, title ="Averaging Versus Chaos in Turbulent Transport?", author = "Owhadi, Houman", journal = "Communications in Mathematical Physics", volume = "247", number = "3", pages = "553-599", month = "June", year = "2004", doi = "https://doi.org/10.1007/s00220-004-1069-8", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-131618930", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9058, title ="Anomalous slow diffusion from perpetual homogenization", author = "Owhadi, Houman", journal = "Annals of Probability", volume = "31", number = "4", pages = "1935-1969", month = "October", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:OWHaop03", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64738, title ="Approximation of the effective conductivity of ergodic media by periodization", author = "Owhadi, Houman", journal = "Probability Theory and Related Fields", volume = "125", number = "2", pages = "225-258", month = "February", year = "2003", doi = "https://doi.org/10.1007/s00440-002-0240-4", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-124326510", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64736, title ="Multi-scale homogenization with bounded ratios and Anomalous Slow Diffusion", author = "Ben Arous, Gérard and Owhadi, Houman", journal = "Communications on Pure and Applied Mathematics", volume = "56", number = "1", pages = "80-113", month = "January", year = "2003", doi = "https://doi.org/10.1002/cpa.10053", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-121708361", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/64735, title ="Super-diffusivity in a shear flow model from perpetual homogenization", author = "Ben Arous, Gérard and Owhadi, Houman", journal = "Communications in Mathematical Physics", volume = "227", number = "2", pages = "281-302", month = "May", year = "2002", doi = "https://doi.org/10.1007/s002200200640", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-110658762", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/75947, title ="Distances and diameters in concentration inequalities: from geometry to optimal assignment of sampling resources", author = "Sullivan, Tim J. and Owhadi, Houman", journal = "International Journal for Uncertainty Quantification", volume = "2", number = "1", pages = "21-38", month = "January", year = "2002", doi = "https://doi.org/10.1615/Int.J.UncertaintyQuantification.2011003433", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-142731157", }