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Plato's theory of forms as the continuous limit of artificial neural networks", publisher = "arXiv", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155524397", id = "https://authors.library.caltech.edu/records/5mydb-afj74", doi = "10.48550/arXiv.2008.03920" } @other{https://authors.library.caltech.edu/records/sshn9-4d642, authors = "Hamzi, Boumediene and Owhadi, Houman", title = "Learning dynamical systems from data: a simple cross-validation perspective", publisher = "arXiv", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-155527819", id = "https://authors.library.caltech.edu/records/sshn9-4d642", doi = "10.48550/arXiv.2007.05074" } @other{https://authors.library.caltech.edu/records/tpvre-65819, authors = "Schäfer, Florian and Anandkumar, Anima and Owhadi, Houman", title = "Competitive Mirror Descent", publisher = "arXiv", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120218966", id = "https://authors.library.caltech.edu/records/tpvre-65819", doi = "10.48550/arXiv.2006.10179" } @other{https://authors.library.caltech.edu/records/rsq9f-6w197, authors = "Owhadi, Houman and Scovel, Clint and Yoo, Gene Ryan", title = "Kernel Mode Decomposition and programmable/interpretable regression networks", publisher = "arXiv", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190923-153747161", id = "https://authors.library.caltech.edu/records/rsq9f-6w197", doi = "10.48550/arXiv.1907.08592" } @other{https://authors.library.caltech.edu/records/91xq4-c7r09, authors = "Campbell, Tom and Owhadi, Houman and Sauvageauz, Joe and Watkinson, David", title = "On testing the simulation theory", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-112815344", id = "https://authors.library.caltech.edu/records/91xq4-c7r09", doi = "10.48550/arXiv.1703.00058" } @other{https://authors.library.caltech.edu/records/hkp94-1wn28, authors = "Owhadi, Houman and Scovel, Clint", 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 = "https://authors.library.caltech.edu/records/hkp94-1wn28", doi = "10.48550/arXiv.1703.10761" } @other{https://authors.library.caltech.edu/records/0171g-e5p13, authors = "Bou-Rabee, Nawaf and Owhadi, Houman", title = "Ballistic Transport at Uniform Temperature", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-101438724", id = "https://authors.library.caltech.edu/records/0171g-e5p13", doi = "10.48550/arXiv.0710.1565" } @other{https://authors.library.caltech.edu/records/bgn30-19p88, authors = "Owhadi, Houman and Scovel, Clint", title = "Brittleness of Bayesian inference and new Selberg formulas", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-073833523", id = "https://authors.library.caltech.edu/records/bgn30-19p88", doi = "10.48550/arXiv.1304.7046" } @other{https://authors.library.caltech.edu/records/r4cp9-5jy65, authors = "Owhadi, Houman and Scovel, Clint", title = "Conditioning Gaussian measure on Hilbert space", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-065740350", id = "https://authors.library.caltech.edu/records/r4cp9-5jy65", doi = "10.48550/arXiv.1506.04208" } @other{https://authors.library.caltech.edu/records/vbh75-mwe93, authors = "Sullivan, T. J. and Owhadi, H.", title = "Equivalence of concentration inequalities for linear and non-linear functions", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-082333411", id = "https://authors.library.caltech.edu/records/vbh75-mwe93", doi = "10.48550/arXiv.1009.4913" } @other{https://authors.library.caltech.edu/records/ska9y-fwf53, authors = "Bou-Rabee, Nawaf and Owhadi, Houman", title = "Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-103320707", id = "https://authors.library.caltech.edu/records/ska9y-fwf53", doi = "10.48550/arXiv.0710.4259" } @other{https://authors.library.caltech.edu/records/v5dr0-dv971, authors = "Owhadi, Houman and Zhang, Lei", title = "Metric based up-scaling", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-094627612", id = "https://authors.library.caltech.edu/records/v5dr0-dv971", doi = "10.48550/arXiv.0505223" } @other{https://authors.library.caltech.edu/records/je0wb-97q10, authors = "Bou-Rabee, Nawaf and Owhadi, Houman", title = "Stochastic Variational Partitioned Runge-Kutta Integrators for Constrained Systems", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-100431574", id = "https://authors.library.caltech.edu/records/je0wb-97q10", doi = "10.48550/arXiv.0709.2222" } @other{https://authors.library.caltech.edu/records/0qces-vpr96, authors = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", 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 = "https://authors.library.caltech.edu/records/0qces-vpr96", doi = "10.48550/arXiv.1006.4657" } @other{https://authors.library.caltech.edu/records/js4rg-7dp08, authors = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", title = "Temperature and Friction Accelerated Sampling of Boltzmann-Gibbs Distribution", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-090906859", id = "https://authors.library.caltech.edu/records/js4rg-7dp08", doi = "10.48550/arXiv.1007.0995" } @other{https://authors.library.caltech.edu/records/qffgv-kme54, authors = "McKerns, M. and Owhadi, H. and Scovel, C. and Sullivan, T. J. and Ortiz, M.", title = "The optimal uncertainty algorithm in the mystic framework", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160224-080348129", id = "https://authors.library.caltech.edu/records/qffgv-kme54", doi = "10.48550/arXiv.1202.1055" } @other{https://authors.library.caltech.edu/records/36dys-2ya70, authors = "Desbrun, Mathieu and Donaldson, Roger D. and Owhadi, Houman", title = "Discrete Geometric Structures in Homogenization and Inverse Homogenization with Application to EIT", publisher = "California Institute of Technology", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-163848887", id = "https://authors.library.caltech.edu/records/36dys-2ya70", doi = "10.7907/XR8W-EA85" } @other{https://authors.library.caltech.edu/records/ewe01-61q87, authors = "Berlyand, Leonid and Owhadi, Houman", title = "Flux Norm Approach to Homogenization Problems with non-separated Scales", publisher = "California Institute of Technology", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-105135181", id = "https://authors.library.caltech.edu/records/ewe01-61q87", doi = "10.7907/T5DC-SN48" } @other{https://authors.library.caltech.edu/records/2nmzy-qwc92, authors = "Owhadi, Houman and Zhang, Lei", title = "Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast", publisher = "California Institute of Technology", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-113719601", id = "https://authors.library.caltech.edu/records/2nmzy-qwc92" } @other{https://authors.library.caltech.edu/records/vgmnz-ees44, authors = "Tao, Molei and Owhadi, Houman and Marsden, Jerrold E.", title = "Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging", publisher = "California Institute of Technology", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-110532817", id = "https://authors.library.caltech.edu/records/vgmnz-ees44", doi = "10.7907/QZNP-SR14" } @other{https://authors.library.caltech.edu/records/5j8b4-b5n05, authors = "Owhadi, H. and Scovel, C. and Sullivan, T. 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