Owhadi, Houman

(orcid 0000-0002-5677-1600)

Combined from CaltechAUTHORS

• Owhadi, H. (2023) Gaussian process hydrodynamics Applied Mathematics and Mechanics; https://doi.org/10.1007/s10483-023-2990-9 (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; https://doi.org/10.1016/j.physa.2023.128583

• Owhadi, Houman (2023) Do ideas have shape? Idea registration as the continuous limit of artificial neural networks Physica D; Vol. 444; https://doi.org/10.1016/j.physd.2022.133592

• Darcy, Matthieu; Hamzi, Boumediene et al. (2023) One-shot learning of stochastic differential equations with data adapted kernels Physica D; Vol. 444; https://doi.org/10.1016/j.physd.2022.133583

• 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; https://doi.org/10.1016/j.physd.2022.133546

• 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; https://doi.org/10.1016/j.jcp.2022.111595

• 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; https://doi.org/10.14658/pupj-drna-2022-3-12

• Owhadi, Houman (2022) Computational graph completion Research in the Mathematical Sciences; Vol. 9; No. 2; https://doi.org/10.1007/s40687-022-00320-8

• Chen, Yifan; Hosseini, Bamdad et al. (2021) Solving and learning nonlinear PDEs with Gaussian processes Journal of Computational Physics; Vol. 447; https://doi.org/10.1016/j.jcp.2021.110668

• Hamze Bajgiran, Hamed; Owhadi, Houman (2021) Aggregation of Pareto optimal models arXiv; https://doi.org/10.48550/arXiv.2112.04161

• Lee, Jonghyeon; De Brouwer, Edward et al. (2021) Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series arXiv; https://doi.org/10.48550/arXiv.2111.13037

• Hamze Bajgiran, Hamed; Owhadi, Houman (2021) Aggregation of Models, Choices, Beliefs, and Preferences arXiv; https://doi.org/10.48550/arXiv.2111.11630

• 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; https://doi.org/10.1016/j.physd.2021.132952

• Hamze Bajgiran, Hamed; Batlle Franch, Pau et al. (2021) Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball arXiv; https://doi.org/10.48550/arXiv.2108.10517

• 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; https://doi.org/10.1098/rspa.2021.0326

• Hamzi, Boumediene; Owhadi, Houman (2021) Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows Physica D; Vol. 421; https://doi.org/10.1016/j.physd.2020.132817

• Chen, Yifang; Owhadi, Houman et al. (2021) Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation Mathematics of Computation; Vol. 90; https://doi.org/10.1090/mcom/3649

• Schäfer, Florian; Katzfuss, Matthias et al. (2021) Sparse Cholesky Factorization by Kullback-Leibler Minimization SIAM Journal on Scientific Computing; Vol. 43; No. 3; https://doi.org/10.1137/20M1336254

• 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; https://doi.org/10.1137/19M129526X

• Tavallali, Peyman; Hamze Bajgiran, Hamed et al. (2021) Decision Theoretic Bootstrapping arXiv; https://doi.org/10.48550/arXiv.2103.09982 (Submitted)

• Hamzi, Boumediene; Maulik, Romit et al. (2021) Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods arXiv; https://doi.org/10.48550/arXiv.2103.10935

• Owhadi, Houman (2020) Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks arXiv; https://doi.org/10.48550/arXiv.2008.03920

• Hamzi, Boumediene; Owhadi, Houman (2020) Learning dynamical systems from data: a simple cross-validation perspective arXiv; https://doi.org/10.48550/arXiv.2007.05074

• Schäfer, Florian; Anandkumar, Anima et al. (2020) Competitive Mirror Descent arXiv; https://doi.org/10.48550/arXiv.2006.10179

• 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; https://doi.org/10.1137/18M1194079

• Yoo, Gene Ryan; Owhadi, Houman (2019) De-noising by thresholding operator adapted wavelets Statistics and Computing; Vol. 29; No. 6; https://doi.org/10.1007/s11222-019-09893-x

• Chen, Jiong; Budninskiy, Max et al. (2019) Material-adapted refinable basis functions for elasticity simulation ACM Transactions on Graphics; Vol. 38; No. 6; https://doi.org/10.1145/3355089.3356567

• Zhang, Qingfu; Owhadi, Houman et al. (2019) Multiresolution Operator Decomposition for Flow Simulation in Fractured Porous Media Journal of Computational Physics; Vol. 391; https://doi.org/10.1016/j.jcp.2018.12.032

• Owhadi, Houman; Scovel, Clint et al. (2019) Kernel Mode Decomposition and programmable/interpretable regression networks arXiv; https://doi.org/10.48550/arXiv.1907.08592

• Owhadi, Houman; Yoo, Gene Ryan (2019) Kernel Flows: From learning kernels from data into the abyss Journal of Computational Physics; Vol. 389; https://doi.org/10.1016/j.jcp.2019.03.040

• Budninskiy, Max; Owhadi, Houman et al. (2019) Operator-adapted wavelets for finite-element differential forms Journal of Computational Physics; Vol. 388; https://doi.org/10.1016/j.jcp.2019.02.018

• Owhadi, Houman; Scovel, Clint (2017) Qualitative Robustness in Bayesian Inference ESAIM: Probability and Statistics; Vol. 21; https://doi.org/10.1051/ps/2017014

• 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; https://doi.org/10.1016/j.jcp.2017.06.037

• 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; https://doi.org/10.1115/1.4036367

• Owhadi, Houman; Scovel, Clint (2017) Toward Machine Wald In: Handbook of Uncertainty Quantification; https://doi.org/10.1007/978-3-319-12385-1_3

• Owhadi, Houman; Scovel, Clint (2017) Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis https://doi.org/10.48550/arXiv.1703.10761

• Owhadi, Houman; Scovel, Clint (2017) Separability of reproducing kernel Hilbert spaces Proceedings of the American Mathematical Society; Vol. 145; No. 5; https://doi.org/10.1090/proc/13354

• Campbell, Tom; Owhadi, Houman et al. (2017) On testing the simulation theory https://doi.org/10.48550/arXiv.1703.00058 (Submitted)

• Owhadi, Houman (2017) Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games SIAM Review; Vol. 59; No. 1; https://doi.org/10.1137/15M1013894

• Owhadi, Houman (2017) The game theoretic approach to Uncertainty Quantification, reduced order modeling and numerical analysis In: AIAA SciTech Forum : 19th AIAA Non-Deterministic Approaches Conference; In: 19th AIAA Non-Deterministic Approaches Conference, 9-13 January 2017, Grapevine, TX https://doi.org/10.2514/6.2017-1092

• Owhadi, Houman; Scovel, Clint (2017) Extreme points of a ball about a measure with finite support Communications in Mathematical Sciences; Vol. 15; No. 1; https://doi.org/10.4310/CMS.2017.v15.n1.a4

• Khoshnoud, Farbod; Esat, Ibrahim I. et al. (2016) Self-Powered and Bio-Inspired Dynamic Systems: Research and Education In: ASME 2016 International Mechanical Engineering Congress and Exposition; Vol. 4A; In: ASME 2016 International Mechanical Engineering Congress and Exposition, 11-17 November 2016, Phoenix, AZ https://doi.org/10.1115/IMECE2016-65276

• Tao, Molei; Owhadi, Houman (2016) Variational and linearly implicit integrators, with applications IMA Journal of Numerical Analysis; Vol. 36; No. 1; https://doi.org/10.1093/imanum/dru064

• Ghanem, Roger; Higdon, David et al. (2016) Introduction to Uncertainty Quantification In: Handbook of Uncertainty Quantification; https://doi.org/10.1007/978-3-319-11259-6_1-1

• Owhadi, Houman; Scovel, Clint (2015) Brittleness of Bayesian inference and new Selberg formulas https://doi.org/10.48550/arXiv.1304.7046 (Submitted)

• 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; https://doi.org/10.1007/s00205-015-0932-4

• Owhadi, Houman; Scovel, Clint (2015) Conditioning Gaussian measure on Hilbert space https://doi.org/10.48550/arXiv.1506.04208 (Submitted)

• Owhadi, Houman (2015) Bayesian Numerical Homogenization Multiscale Modeling and Simulation; Vol. 13; No. 3; https://doi.org/10.1137/140974596

• Han, Shuo; Tao, Molei et al. (2015) Convex Optimal Uncertainty Quantification SIAM Journal of Optimization; Vol. 25; No. 3; https://doi.org/10.1137/13094712X

• 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; https://doi.org/10.1214/15-EJS989

• Owhadi, Houman; Scovel, Clint et al. (2015) On the Brittleness of Bayesian Inference SIAM Review; Vol. 57; No. 4; https://doi.org/10.1137/130938633

• 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; https://doi.org/10.1016/j.jmps.2014.07.007

• 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; https://doi.org/10.1051/m2an/2013118

• Balarac, Guillaume; Owhadi, Houman (2014) Preface ESAIM: Mathematical Modelling and Numerical Analysis; Vol. 48; No. 2; https://doi.org/10.1051/m2an/2013108

• 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; https://doi.org/10.1051/m2an/2013083

• Desbrun, Mathieu; Donaldson, Roger D. et al. (2013) Modeling Across Scales: Discrete Geometric Structures in Homogenization and Inverse Homogenization In: Multiscale Analysis and Nonlinear Dynamics; https://doi.org/10.1002/9783527671632.ch02

• de Goes, Fernando; Alliez, Pierre et al. (2013) On the equilibrium of simplicial masonry structures ACM Transactions on Graphics; Vol. 32; No. 4; https://doi.org/10.1145/2461912.2461932

• Ober-Blöbaum, Sina; Tao, Molei et al. (2013) Variational integrators for electric circuits Journal of Computational Physics; Vol. 242; https://doi.org/10.1016/j.jcp.2013.02.006

• Han, Shuo; Topcu, Ufuk et al. (2013) Convex optimal uncertainty quantification: Algorithms and a case study in energy storage placement for power grids In: 2013 American Control Conference (ACC); In: 2013 American Control Conference (ACC), 17-19 June 2013, Washington, DC https://resolver.caltech.edu/CaltechCDSTR:2012.002

• Owhadi, H.; Scovel, C. et al. (2013) Optimal Uncertainty Quantification SIAM Review; Vol. 55; No. 2; https://doi.org/10.1137/10080782X

• Bou-Rabee, Nawaf; Owhadi, Houman (2013) Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums https://doi.org/10.48550/arXiv.0710.4259

• Koon, Wang Sang; Owhadi, Houman et al. (2013) Control of a model of DNA division via parametric resonance Chaos; Vol. 23; No. 1; https://doi.org/10.1063/1.4790835

• 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; https://doi.org/10.1016/j.jmps.2011.12.001

• 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; https://doi.org/10.1016/j.jmps.2011.12.002

• McKerns, M.; Owhadi, H. et al. (2012) The optimal uncertainty algorithm in the mystic framework https://doi.org/10.48550/arXiv.1202.1055 (Submitted)

• 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; https://doi.org/10.1137/100813968

• Topcu, U.; Lucas, L. J. et al. (2011) Rigorous uncertainty quantification without integral testing Reliability Engineering and System Safety; Vol. 96; No. 9; https://doi.org/10.1016/j.ress.2010.07.013

• Doostan, Alireza; Owhadi, Houman (2011) A non-adapted sparse approximation of PDEs with stochastic inputs Journal of Computational Physics; Vol. 230; No. 8; https://doi.org/10.1016/j.jcp.2011.01.002

• 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; https://doi.org/10.1002/nme.3030

• 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; https://doi.org/10.48550/arXiv.1104.0272

• 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 In: Symplectic Exponentiation of Matrices and Integration of Hamiltonian Systems; Applied Mathematics Research eXpress; Vol. 2011; No. 2; https://doi.org/10.1093/amrx/abr008

• 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; https://doi.org/10.1063/1.3518419

• 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; https://doi.org/10.1007/s00205-010-0302-1

• Owhadi, Houman; Zhang, Lei (2010) Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast Series ACM Technical Reports, 2010-04. https://resolver.caltech.edu/CaltechAUTHORS:20111012-113719601

• Sullivan, T. J.; Owhadi, H. (2010) Equivalence of concentration inequalities for linear and non-linear functions https://doi.org/10.48550/arXiv.1009.4913 (Submitted)

• Owhadi, H.; Scovel, C. et al. (2010) Optimal Uncertainty Quantification Series ACM Technical Reports, 2010-03. https://doi.org/10.7907/TTW6-QD19

• 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; https://doi.org/10.1137/090771648

• Tao, Molei; Owhadi, Houman et al. (2010) Temperature and Friction Accelerated Sampling of Boltzmann-Gibbs Distribution https://doi.org/10.48550/arXiv.1007.0995 (Submitted)

• Leyendecker, Sigrid; Lucas, Leonard J. et al. (2010) Optimal Control Strategies for Robust Certification Journal of Computational and Nonlinear Dynamics; Vol. 5; No. 3; https://doi.org/10.1115/1.4001375

• 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; https://doi.org/10.1016/j.sbspro.2010.05.211

• Tao, Molei; Owhadi, Houman et al. (2010) Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position https://doi.org/10.48550/arXiv.1006.4657 (Submitted)

• 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; https://doi.org/10.1137/090781619

• 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; https://doi.org/10.1137/090758842

• Nair, Sujit; Chevva, Konda Reddy et al. (2009) Multiple target detection using Bayesian learning In: Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference; In: 48h IEEE Conference on Decision and Control (CDC), December 16-18, 2009, Shanghai, China https://doi.org/10.1109/CDC.2009.5399565

• Desbrun, Mathieu; Donaldson, Roger D. et al. (2009) Discrete Geometric Structures in Homogenization and Inverse Homogenization with Application to EIT Series ACM Technical Reports, 2009-02. https://doi.org/10.7907/XR8W-EA85

• Berlyand, Leonid; Owhadi, Houman (2009) Flux Norm Approach to Homogenization Problems with non-separated Scales Series ACM Technical Reports, 2009-03. https://doi.org/10.7907/T5DC-SN48

• Tao, Molei; Owhadi, Houman et al. (2009) Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging Series ACM Technical Reports, 2009-04. https://doi.org/10.7907/QZNP-SR14

• Kharevych, Lily; Mullen, Patrick et al. (2009) Numerical coarsening of inhomogeneous elastic materials ACM Transactions on Graphics; Vol. 28; No. 3; In: SIGGRAPH 2009, 4-7 August 2009, New Orleans, LA https://doi.org/10.1145/1531326.1531357

• Kharevych, Lily; Mullen, Patrick et al. (2009) Numerical coarsening of inhomogeneous elastic materials In: SIGGRAPH '09 ACM SIGGRAPH 2009 papers; In: SIGGRAPH '09 Special Interest Group on Computer Graphics and Interactive Techniques Conference, August 3-7, 2009, New Orleans, LA https://doi.org/10.1145/1576246.1531357

• Bou-Rabee, Nawaf; Owhadi, Houman (2009) Stochastic variational integrators IMA Journal of Numerical Analysis; Vol. 29; No. 2; https://doi.org/10.1093/imanum/drn018

• 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; https://doi.org/10.1016/j.cma.2008.08.012

• 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; https://doi.org/10.1016/j.cma.2008.06.008

• Owhadi, Houman; Boulos, Areen (2008) Bistable Equilibrium Points of Mercury Body Burden Journal of Biological Systems; Vol. 16; No. 1; https://doi.org/10.1142/S0218339008002459

• 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; https://doi.org/10.1137/060670420

• Bou-Rabee, Nawaf; Owhadi, Houman (2007) Ballistic Transport at Uniform Temperature https://doi.org/10.48550/arXiv.0710.1565 (Submitted)

• Bou-Rabee, Nawaf; Owhadi, Houman (2007) Stochastic Variational Partitioned Runge-Kutta Integrators for Constrained Systems https://doi.org/10.48550/arXiv.0709.2222 (Submitted)

• Owhadi, Houman; Zhang, Lei (2005) Metric based up-scaling https://doi.org/10.48550/arXiv.0505223 (Submitted)

• Owhadi, Houman (2004) From a market of dreamers to economical shocks Physica A; Vol. 343; https://doi.org/10.1016/j.physa.2004.05.078

• Owhadi, Houman (2004) Averaging Versus Chaos in Turbulent Transport? Communications in Mathematical Physics; Vol. 247; No. 3; https://doi.org/10.1007/s00220-004-1069-8

• Owhadi, Houman (2003) Anomalous slow diffusion from perpetual homogenization Annals of Probability; Vol. 31; No. 4; https://doi.org/10.1214/aop/1068646372

• Owhadi, Houman (2003) Approximation of the effective conductivity of ergodic media by periodization Probability Theory and Related Fields; Vol. 125; No. 2; https://doi.org/10.1007/s00440-002-0240-4

• 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; https://doi.org/10.1002/cpa.10053

• Ben Arous, Gérard; Owhadi, Houman (2002) Super-diffusivity in a shear flow model from perpetual homogenization Communications in Mathematical Physics; Vol. 227; No. 2; https://doi.org/10.1007/s002200200640

• 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; https://doi.org/10.1615/Int.J.UncertaintyQuantification.2011003433