Owhadi, H. (2023) Gaussian process hydrodynamics Applied Mathematics and Mechanics; (In Press)

Hamzi, Boumediene; Owhadi, Houman et al. (2023) A note on microlocal kernel design for some slow–fast stochastic differential equations with critical transitions and application to EEG signals Physica A; Vol. 616;

Owhadi, Houman (2023) Do ideas have shape? Idea registration as the continuous limit of artificial neural networks Physica D; Vol. 444;

Darcy, Matthieu; Hamzi, Boumediene et al. (2023) One-shot learning of stochastic differential equations with data adapted kernels Physica D; Vol. 444;

Lee, Jonghyeon; De Brouwer, Edward et al. (2023) Learning dynamical systems from data: A simple cross-validation perspective, Part III: Irregularly-sampled time series Physica D; Vol. 443;

Akian, J.-L.; Bonnet, L. et al. (2022) Learning "best" kernels from data in Gaussian process regression. With application to aerodynamics Journal of Computational Physics; Vol. 470;

Smirnov, Alexandre; Hamzi, Boumediene et al. (2022) Mean-field limits of trained weights in deep learning: A dynamical systems perspective Dolomites Research Notes on Approximation; Vol. 15; No. 3;

Owhadi, Houman (2022) Computational graph completion Research in the Mathematical Sciences; Vol. 9; No. 2;

Chen, Yifan; Hosseini, Bamdad et al. (2021) Solving and learning nonlinear PDEs with Gaussian processes Journal of Computational Physics; Vol. 447;

Yoo, Gene Ryan; Owhadi, Houman (2021) Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows Physica D: Nonlinear Phenomena; Vol. 426;

Hamzi, B.; Maulik, R. et al. (2021) Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences; Vol. 477; No. 2252;

Hamzi, Boumediene; Owhadi, Houman (2021) Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows Physica D; Vol. 421;

Chen, Yifang; Owhadi, Houman et al. (2021) Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation Mathematics of Computation; Vol. 90;

Schäfer, Florian; Katzfuss, Matthias et al. (2021) Sparse Cholesky Factorization by Kullback-Leibler Minimization SIAM Journal on Scientific Computing; Vol. 43; No. 3;

Schäfer, Florian; Sullivan, T. J. et al. (2021) Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity Multiscale Modeling and Simulation; Vol. 19; No. 2;

Xie, Hehu; Zhang, Lei et al. (2019) Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction SIAM Journal on Numerical Analysis; Vol. 57; No. 6;

Yoo, Gene Ryan; Owhadi, Houman (2019) De-noising by thresholding operator adapted wavelets Statistics and Computing; Vol. 29; No. 6;

Chen, Jiong; Budninskiy, Max et al. (2019) Material-adapted refinable basis functions for elasticity simulation ACM Transactions on Graphics; Vol. 38; No. 6;

Zhang, Qingfu; Owhadi, Houman et al. (2019) Multiresolution Operator Decomposition for Flow Simulation in Fractured Porous Media Journal of Computational Physics; Vol. 391;

Owhadi, Houman; Yoo, Gene Ryan (2019) Kernel Flows: From learning kernels from data into the abyss Journal of Computational Physics; Vol. 389;

Budninskiy, Max; Owhadi, Houman et al. (2019) Operator-adapted wavelets for finite-element differential forms Journal of Computational Physics; Vol. 388;

Owhadi, Houman; Scovel, Clint (2017) Qualitative Robustness in Bayesian Inference ESAIM: Probability and Statistics; Vol. 21;

Owhadi, Houman; Zhang, Lei (2017) Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients Journal of Computational Physics; Vol. 347;

Khoshnoud, Farbod; Esat, Ibrahim I. et al. (2017) Self-Powered Dynamic Systems in the Framework of Optimal Uncertainty Quantification Journal of Dynamic Systems, Measurement, and Control; Vol. 139; No. 9;

Owhadi, Houman; Scovel, Clint (2017) Separability of reproducing kernel Hilbert spaces Proceedings of the American Mathematical Society; Vol. 145; No. 5;

Owhadi, Houman (2017) Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games SIAM Review; Vol. 59; No. 1;

Owhadi, Houman; Scovel, Clint (2017) Extreme points of a ball about a measure with finite support Communications in Mathematical Sciences; Vol. 15; No. 1;

Tao, Molei; Owhadi, Houman (2016) Variational and linearly implicit integrators, with applications IMA Journal of Numerical Analysis; Vol. 36; No. 1;

Tao, Molei; Owhadi, Houman (2015) Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest Archive for Rational Mechanics and Analysis; Vol. 220; No. 1;

Owhadi, Houman (2015) Bayesian Numerical Homogenization Multiscale Modeling and Simulation; Vol. 13; No. 3;

Han, Shuo; Tao, Molei et al. (2015) Convex Optimal Uncertainty Quantification SIAM Journal of Optimization; Vol. 25; No. 3;

Owhadi, Houman; Scovel, Clint et al. (2015) Brittleness of Bayesian inference under finite information in a continuous world Electronic Journal of Statistics; Vol. 9; No. 1;

Owhadi, Houman; Scovel, Clint et al. (2015) On the Brittleness of Bayesian Inference SIAM Review; Vol. 57; No. 4;

Kamga, P.-H. T.; Li, B. et al. (2014) Optimal uncertainty quantification with model uncertainty and legacy data Journal of the Mechanics and Physics of Solids; Vol. 72;

Owhadi, Houman; Zhang, Lei et al. (2014) Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization ESAIM-Mathematical Modelling and Numerical Analysis; Vol. 48; No. 2;

Balarac, Guillaume; Owhadi, Houman (2014) Preface ESAIM: Mathematical Modelling and Numerical Analysis; Vol. 48; No. 2;

Sullivan, T. J.; McKerns, M. et al. (2013) Optimal Uncertainty Quantification for Legacy Data Observations of Lipschitz Functions ESAIM-Mathematical Modelling and Numerical Analysis; Vol. 47; No. 6;

de Goes, Fernando; Alliez, Pierre et al. (2013) On the equilibrium of simplicial masonry structures ACM Transactions on Graphics; Vol. 32; No. 4;

Ober-Blöbaum, Sina; Tao, Molei et al. (2013) Variational integrators for electric circuits Journal of Computational Physics; Vol. 242;

Owhadi, H.; Scovel, C. et al. (2013) Optimal Uncertainty Quantification SIAM Review; Vol. 55; No. 2;

Koon, Wang Sang; Owhadi, Houman et al. (2013) Control of a model of DNA division via parametric resonance Chaos; Vol. 23; No. 1;

Kidane, A.; Lashgari, A. et al. (2012) Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter Journal of the Mechanics and Physics of Solids; Vol. 60; No. 5;

Adams, M.; Lashgari, A. et al. (2012) Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter Journal of the Mechanics and Physics of Solids; Vol. 60; No. 5;

Owhadi, Houman; Zhang, Lei (2011) Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast Multiscale Modeling and Simulation; Vol. 9; No. 4;

Topcu, U.; Lucas, L. J. et al. (2011) Rigorous uncertainty quantification without integral testing Reliability Engineering and System Safety; Vol. 96; No. 9;

Doostan, Alireza; Owhadi, Houman (2011) A non-adapted sparse approximation of PDEs with stochastic inputs Journal of Computational Physics; Vol. 230; No. 8;

Sullivan, T. J.; Topcu, U. et al. (2011) Uncertainty quantification via codimension-one partitioning International Journal for Numerical Methods in Engineering; Vol. 85; No. 12;

Tao, Molei; Owhadi, Houman et al. (2011) Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs Dynamics of Partial Differential Equations; Vol. 8; No. 1;

Tao, Molei; Owhadi, Houman et al. (2011) From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials Symplectic Exponentiation of Matrices and Integration of Hamiltonian Systems; Applied Mathematics Research eXpress; Vol. 2011; No. 2;

Bayati, Basil; Owhadi, Houman et al. (2010) A cutoff phenomenon in accelerated stochastic simulations of chemical kinetics via flow averaging (FLAVOR-SSA) Journal of Chemical Physics; Vol. 133; No. 24;

Berlyand, Leonid; Owhadi, Houman (2010) Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast Archive for Rational Mechanics and Analysis; Vol. 198; No. 2;

Tao, Molei; Owhadi, Houman et al. (2010) Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging Multiscale Modeling and Simulation; Vol. 8; No. 4;

Leyendecker, Sigrid; Lucas, Leonard J. et al. (2010) Optimal Control Strategies for Robust Certification Journal of Computational and Nonlinear Dynamics; Vol. 5; No. 3;

Sullivan, Timothy J.; McKerns, Mike et al. (2010) Uncertainty quantification via codimension one domain partitioning and a new concentration inequality Procedia - Social and Behavioral Sciences; Vol. 2; No. 6;

Zhang, Lei; Berlyand, Leonid et al. (2010) Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates Multiscale Modeling & Simulation; Vol. 8; No. 5;

Bou-Rabee, Nawaf; Owhadi, Houman (2010) Long-Run Accuracy of Variational Integrators in the Stochastic Context SIAM Journal on Numerical Analysis; Vol. 48; No. 1;

Kharevych, Lily; Mullen, Patrick et al. (2009) Numerical coarsening of inhomogeneous elastic materials ACM Transactions on Graphics; Vol. 28; No. 3; SIGGRAPH 2009, 4-7 August 2009 , New Orleans, LA

Bou-Rabee, Nawaf; Owhadi, Houman (2009) Stochastic variational integrators IMA Journal of Numerical Analysis; Vol. 29; No. 2;

Owhadi, Houman; Zhang, Lei (2008) Numerical homogenization of the acoustic wave equations with a continuum of scales Computer Methods in Applied Mechanics and Engineering; Vol. 198; No. 3-4;

Lucas, L. J.; Owhadi, H. et al. (2008) Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 51-52;

Owhadi, Houman; Boulos, Areen (2008) Bistable Equilibrium Points of Mercury Body Burden Journal of Biological Systems; Vol. 16; No. 1;

Owhadi, Houman; Zhang, Lei (2007) Homogenization of Parabolic Equations with a Continuum of Space and Time Scales SIAM Journal on Numerical Analysis; Vol. 46; No. 1;

Owhadi, Houman (2004) From a market of dreamers to economical shocks Physica A; Vol. 343;

Owhadi, Houman (2004) Averaging Versus Chaos in Turbulent Transport? Communications in Mathematical Physics; Vol. 247; No. 3;

Owhadi, Houman (2003) Anomalous slow diffusion from perpetual homogenization Annals of Probability; Vol. 31; No. 4;

Owhadi, Houman (2003) Approximation of the effective conductivity of ergodic media by periodization Probability Theory and Related Fields; Vol. 125; No. 2;

Ben Arous, Gérard; Owhadi, Houman (2003) Multi-scale homogenization with bounded ratios and Anomalous Slow Diffusion Communications on Pure and Applied Mathematics; Vol. 56; No. 1;

Ben Arous, Gérard; Owhadi, Houman (2002) Super-diffusivity in a shear flow model from perpetual homogenization Communications in Mathematical Physics; Vol. 227; No. 2;

Sullivan, Tim J.; Owhadi, Houman (2002) Distances and diameters in concentration inequalities: from geometry to optimal assignment of sampling resources International Journal for Uncertainty Quantification; Vol. 2; No. 1;