A non-adapted sparse approximation of PDEs with stochastic inputs. Zbl 1218.65008
Doostan, Alireza; Owhadi, Houman |
|
2011
|
Multigrid with rough coefficients and multiresolution operator decomposition from hierarchical information games. Zbl 1358.65071
Owhadi, Houman |
|
2017
|
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid |
|
2014
|
Bayesian numerical homogenization. Zbl 1322.35002
Owhadi, Houman |
|
2015
|
Metric-based upscaling. Zbl 1190.35070
Owhadi, Houman; Zhang, Lei |
|
2007
|
Operator-adapted wavelets, fast solvers, and numerical homogenization. From a game theoretic approach to numerical approximation and algorithm design. Zbl 1477.65004
Owhadi, Houman; Scovel, Clint |
|
2019
|
Long-run accuracy of variational integrators in the stochastic context. Zbl 1215.65012
Bou-Rabee, Nawaf; Owhadi, Houman |
|
2010
|
Stochastic variational integrators. Zbl 1171.37027
Bou-Rabee, Nawaf; Owhadi, Houman |
|
2009
|
Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140
Owhadi, Houman; Zhang, Lei |
|
2011
|
Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. |
|
2010
|
Solving and learning nonlinear PDEs with Gaussian processes. Zbl 07516428
Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M. |
|
2021
|
Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast. Zbl 1229.35009
Berlyand, Leonid; Owhadi, Houman |
|
2010
|
Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows. Zbl 1509.68217
Hamzi, Boumediene; Owhadi, Houman |
|
2021
|
Numerical homogenization of the acoustic wave equations with a continuum of scales. Zbl 1228.76122
Owhadi, Houman; Zhang, Lei |
|
2008
|
Kernel flows: from learning kernels from data into the abyss. Zbl 1452.65028
Owhadi, Houman; Yoo, Gene Ryan |
|
2019
|
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. Zbl 1380.65406
Owhadi, Houman; Zhang, Lei |
|
2017
|
Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Zbl 1461.65067
Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman |
|
2021
|
Optimal uncertainty quantification. Zbl 1278.60040
Owhadi, H.; Scovel, C.; Sullivan, T. J.; Mckerns, M.; Ortiz, M. |
|
2013
|
Sparse Cholesky factorization by Kullback-Leibler minimization. Zbl 07364386
Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman |
|
2021
|
On the brittleness of Bayesian inference. Zbl 1341.62094
Owhadi, Houman; Scovel, Clint; Sullivan, Tim |
|
2015
|
Approximation of the effective conductivity of ergodic media by periodization. Zbl 1040.60025
Owhadi, Houman |
|
2003
|
Homogenization of parabolic equations with a continuum of space and time scales. Zbl 1170.34037
Owhadi, Houman; Zhang, Lei |
|
2008
|
Brittleness of Bayesian inference under finite information in a continuous world. Zbl 1305.62123
Owhadi, Houman; Scovel, Clint; Sullivan, Tim |
|
2015
|
Brittleness of Bayesian inference and new Selberg formulas. Zbl 1357.62125
Owhadi, Houman; Scovel, Clint |
|
2015
|
Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction. Zbl 1447.65165
Xie, Hehu; Zhang, Lei; Owhadi, Houman |
|
2019
|
Statistical numerical approximation. Zbl 07146568
Owhadi, Houman; Scovel, Clint; Schäfer, Florian |
|
2019
|
Qualitative robustness in Bayesian inference. Zbl 1395.62059
Owhadi, Houman; Scovel, Clint |
|
2017
|
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M. |
|
2021
|
Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities. Zbl 1194.74550
Lucas, L. J.; Owhadi, H.; Ortiz, M. |
|
2008
|
Multiscale homogenization with bounded ratios and anomalous slow diffusion. Zbl 1205.76223
Ben Arous, Gérard; Owhadi, Houman |
|
2003
|
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics. Zbl 07599627
Akian, J.-L.; Bonnet, L.; Owhadi, H.; Savin, É. |
|
2022
|
Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series. Zbl 1510.37122
Lee, Jonghyeon; De Brouwer, Edward; Hamzi, Boumediene; Owhadi, Houman |
|
2023
|
Computational graph completion. Zbl 1497.68464
Owhadi, Houman |
|
2022
|
Variational integrators for electric circuits. Zbl 1298.78024
Ober-Blöbaum, Sina; Tao, Molei; Cheng, Mulin; Owhadi, Houman; Marsden, Jerrold E. |
|
2013
|
Deep regularization and direct training of the inner layers of neural networks with kernel flows. Zbl 1515.68273
Yoo, Gene Ryan; Owhadi, Houman |
|
2021
|
Anomalous slow diffusion from perpetual homogenization. Zbl 1042.60049
Owhadi, Houman |
|
2003
|
Control of a model of DNA division via parametric resonance. Zbl 1319.92038
Sang Koon, Wang; Owhadi, Houman; Tao, Molei; Yanao, Tomohiro |
|
2013
|
Separability of reproducing kernel spaces. Zbl 1369.46022
Owhadi, Houman; Scovel, Clint |
|
2017
|
From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Zbl 1243.65149
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. |
|
2011
|
On the equilibrium of simplicial masonry structures. Zbl 1305.68297
de Goes, Fernando; Alliez, Pierre; Owhadi, Houman; Desbrun, Mathieu |
|
2013
|
Kernel mode decomposition and the programming of kernels. Zbl 1504.62012
Owhadi, Houman; Scovel, Clint; Yoo, Gene Ryan |
|
2021
|
Learning dynamical systems from data: a simple cross-validation perspective. IV: Case with partial observations. Zbl 1541.37090
Hamzi, Boumediene; Owhadi, Houman; Kevrekidis, Yannis |
|
2023
|
Convex optimal uncertainty quantification. Zbl 1317.90236
Han, Shuo; Tao, Molei; Topcu, Ufuk; Owhadi, Houman; Murray, Richard M. |
|
2015
|
Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest. Zbl 1338.34037
Tao, Molei; Owhadi, Houman |
|
2016
|
One-shot learning of stochastic differential equations with data adapted kernels. Zbl 07642851
Darcy, Matthieu; Hamzi, Boumediene; Livieri, Giulia; Owhadi, Houman; Tavallali, Peyman |
|
2023
|
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks. Zbl 07642857
Owhadi, Houman |
|
2023
|
Super-diffusivity in a shear flow model from perpetual homogenization. Zbl 1065.76109
Ben Arous, Gérard; Owhadi, Houman |
|
2002
|
Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs. Zbl 1221.65229
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. |
|
2011
|
De-noising by thresholding operator adapted wavelets. Zbl 1436.62126
Yoo, Gene Ryan; Owhadi, Houman |
|
2019
|
A note on microlocal kernel design for some slow-fast stochastic differential equations with critical transitions and application to EEG signals. Zbl 07679922
Hamzi, Boumediene; Owhadi, Houman; Paillet, Léo |
|
2023
|
Operator-adapted wavelets for finite-element differential forms. Zbl 1452.65226
Budninskiy, Max; Owhadi, Houman; Desbrun, Mathieu |
|
2019
|
Multiresolution operator decomposition for flow simulation in fractured porous media. Zbl 1452.76242
Zhang, Qingfu; Owhadi, Houman; Yao, Jun; Schäfer, Florian; Huang, Zhaoqin; Li, Yang |
|
2019
|
Extreme points of a ball about a measure with finite support. Zbl 1376.60010
Owhadi, Houman; Scovel, Clint |
|
2017
|
Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates. Zbl 1245.74044
Zhang, Lei; Berlyand, Leonid; Fedorov, Maxim V.; Owhadi, Houman |
|
2010
|
Ergodicity of Langevin processes with degenerate diffusion in momentums. Zbl 1173.82344
Bou-Rabee, Nawaf; Owhadi, Houman |
|
2008
|
Variational and linearly implicit integrators, with applications. Zbl 1334.65198
Tao, Molei; Owhadi, Houman |
|
2016
|
Kernel methods are competitive for operator learning. Zbl 07807976
Batlle, Pau; Darcy, Matthieu; Hosseini, Bamdad; Owhadi, Houman |
|
2024
|
Mean-field limits of trained weights in deep learning: a dynamical systems perspective. Zbl 1540.68229
Smirnov, Alexandre; Hamzi, Boumediene; Owhadi, Houman |
|
2022
|
Averaging versus chaos in turbulent transport? Zbl 1056.76038
Owhadi, Houman |
|
2004
|
Uncertainty quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball. Zbl 07605580
Bajgiran, Hamed Hamze; Batlle, Pau; Owhadi, Houman; Samir, Mostafa; Scovel, Clint; Shirdel, Mahdy; Stanley, Michael; Tavallali, Peyman |
|
2022
|
Gaussian process hydrodynamics. Zbl 1516.35310
Owhadi, H. |
|
2023
|
Sparse recovery of elliptic solvers from matrix-vector products. Zbl 1535.65298
Schäfer, Florian; Owhadi, Houman |
|
2024
|
Learning dynamical systems from data: a simple cross-validation perspective. V: Sparse kernel flows for 132 chaotic dynamical systems. Zbl 07842130
Yang, Lu; Sun, Xiuwen; Hamzi, Boumediene; Owhadi, Houman; Xie, Naiming |
|
2024
|
Kernel methods are competitive for operator learning. Zbl 07807976
Batlle, Pau; Darcy, Matthieu; Hosseini, Bamdad; Owhadi, Houman |
|
2024
|
Sparse recovery of elliptic solvers from matrix-vector products. Zbl 1535.65298
Schäfer, Florian; Owhadi, Houman |
|
2024
|
Learning dynamical systems from data: a simple cross-validation perspective. V: Sparse kernel flows for 132 chaotic dynamical systems. Zbl 07842130
Yang, Lu; Sun, Xiuwen; Hamzi, Boumediene; Owhadi, Houman; Xie, Naiming |
|
2024
|
Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series. Zbl 1510.37122
Lee, Jonghyeon; De Brouwer, Edward; Hamzi, Boumediene; Owhadi, Houman |
|
2023
|
Learning dynamical systems from data: a simple cross-validation perspective. IV: Case with partial observations. Zbl 1541.37090
Hamzi, Boumediene; Owhadi, Houman; Kevrekidis, Yannis |
|
2023
|
One-shot learning of stochastic differential equations with data adapted kernels. Zbl 07642851
Darcy, Matthieu; Hamzi, Boumediene; Livieri, Giulia; Owhadi, Houman; Tavallali, Peyman |
|
2023
|
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks. Zbl 07642857
Owhadi, Houman |
|
2023
|
A note on microlocal kernel design for some slow-fast stochastic differential equations with critical transitions and application to EEG signals. Zbl 07679922
Hamzi, Boumediene; Owhadi, Houman; Paillet, Léo |
|
2023
|
Gaussian process hydrodynamics. Zbl 1516.35310
Owhadi, H. |
|
2023
|
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics. Zbl 07599627
Akian, J.-L.; Bonnet, L.; Owhadi, H.; Savin, É. |
|
2022
|
Computational graph completion. Zbl 1497.68464
Owhadi, Houman |
|
2022
|
Mean-field limits of trained weights in deep learning: a dynamical systems perspective. Zbl 1540.68229
Smirnov, Alexandre; Hamzi, Boumediene; Owhadi, Houman |
|
2022
|
Uncertainty quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball. Zbl 07605580
Bajgiran, Hamed Hamze; Batlle, Pau; Owhadi, Houman; Samir, Mostafa; Scovel, Clint; Shirdel, Mahdy; Stanley, Michael; Tavallali, Peyman |
|
2022
|
Solving and learning nonlinear PDEs with Gaussian processes. Zbl 07516428
Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M. |
|
2021
|
Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows. Zbl 1509.68217
Hamzi, Boumediene; Owhadi, Houman |
|
2021
|
Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Zbl 1461.65067
Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman |
|
2021
|
Sparse Cholesky factorization by Kullback-Leibler minimization. Zbl 07364386
Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman |
|
2021
|
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M. |
|
2021
|
Deep regularization and direct training of the inner layers of neural networks with kernel flows. Zbl 1515.68273
Yoo, Gene Ryan; Owhadi, Houman |
|
2021
|
Kernel mode decomposition and the programming of kernels. Zbl 1504.62012
Owhadi, Houman; Scovel, Clint; Yoo, Gene Ryan |
|
2021
|
Operator-adapted wavelets, fast solvers, and numerical homogenization. From a game theoretic approach to numerical approximation and algorithm design. Zbl 1477.65004
Owhadi, Houman; Scovel, Clint |
|
2019
|
Kernel flows: from learning kernels from data into the abyss. Zbl 1452.65028
Owhadi, Houman; Yoo, Gene Ryan |
|
2019
|
Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction. Zbl 1447.65165
Xie, Hehu; Zhang, Lei; Owhadi, Houman |
|
2019
|
Statistical numerical approximation. Zbl 07146568
Owhadi, Houman; Scovel, Clint; Schäfer, Florian |
|
2019
|
De-noising by thresholding operator adapted wavelets. Zbl 1436.62126
Yoo, Gene Ryan; Owhadi, Houman |
|
2019
|
Operator-adapted wavelets for finite-element differential forms. Zbl 1452.65226
Budninskiy, Max; Owhadi, Houman; Desbrun, Mathieu |
|
2019
|
Multiresolution operator decomposition for flow simulation in fractured porous media. Zbl 1452.76242
Zhang, Qingfu; Owhadi, Houman; Yao, Jun; Schäfer, Florian; Huang, Zhaoqin; Li, Yang |
|
2019
|
Multigrid with rough coefficients and multiresolution operator decomposition from hierarchical information games. Zbl 1358.65071
Owhadi, Houman |
|
2017
|
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. Zbl 1380.65406
Owhadi, Houman; Zhang, Lei |
|
2017
|
Qualitative robustness in Bayesian inference. Zbl 1395.62059
Owhadi, Houman; Scovel, Clint |
|
2017
|
Separability of reproducing kernel spaces. Zbl 1369.46022
Owhadi, Houman; Scovel, Clint |
|
2017
|
Extreme points of a ball about a measure with finite support. Zbl 1376.60010
Owhadi, Houman; Scovel, Clint |
|
2017
|
Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest. Zbl 1338.34037
Tao, Molei; Owhadi, Houman |
|
2016
|
Variational and linearly implicit integrators, with applications. Zbl 1334.65198
Tao, Molei; Owhadi, Houman |
|
2016
|
Bayesian numerical homogenization. Zbl 1322.35002
Owhadi, Houman |
|
2015
|
On the brittleness of Bayesian inference. Zbl 1341.62094
Owhadi, Houman; Scovel, Clint; Sullivan, Tim |
|
2015
|
Brittleness of Bayesian inference under finite information in a continuous world. Zbl 1305.62123
Owhadi, Houman; Scovel, Clint; Sullivan, Tim |
|
2015
|
Brittleness of Bayesian inference and new Selberg formulas. Zbl 1357.62125
Owhadi, Houman; Scovel, Clint |
|
2015
|
Convex optimal uncertainty quantification. Zbl 1317.90236
Han, Shuo; Tao, Molei; Topcu, Ufuk; Owhadi, Houman; Murray, Richard M. |
|
2015
|
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid |
|
2014
|
Optimal uncertainty quantification. Zbl 1278.60040
Owhadi, H.; Scovel, C.; Sullivan, T. J.; Mckerns, M.; Ortiz, M. |
|
2013
|
Variational integrators for electric circuits. Zbl 1298.78024
Ober-Blöbaum, Sina; Tao, Molei; Cheng, Mulin; Owhadi, Houman; Marsden, Jerrold E. |
|
2013
|
Control of a model of DNA division via parametric resonance. Zbl 1319.92038
Sang Koon, Wang; Owhadi, Houman; Tao, Molei; Yanao, Tomohiro |
|
2013
|
On the equilibrium of simplicial masonry structures. Zbl 1305.68297
de Goes, Fernando; Alliez, Pierre; Owhadi, Houman; Desbrun, Mathieu |
|
2013
|
A non-adapted sparse approximation of PDEs with stochastic inputs. Zbl 1218.65008
Doostan, Alireza; Owhadi, Houman |
|
2011
|
Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140
Owhadi, Houman; Zhang, Lei |
|
2011
|
From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Zbl 1243.65149
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. |
|
2011
|
Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs. Zbl 1221.65229
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. |
|
2011
|
Long-run accuracy of variational integrators in the stochastic context. Zbl 1215.65012
Bou-Rabee, Nawaf; Owhadi, Houman |
|
2010
|
Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. |
|
2010
|
Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast. Zbl 1229.35009
Berlyand, Leonid; Owhadi, Houman |
|
2010
|
Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates. Zbl 1245.74044
Zhang, Lei; Berlyand, Leonid; Fedorov, Maxim V.; Owhadi, Houman |
|
2010
|
Stochastic variational integrators. Zbl 1171.37027
Bou-Rabee, Nawaf; Owhadi, Houman |
|
2009
|
Numerical homogenization of the acoustic wave equations with a continuum of scales. Zbl 1228.76122
Owhadi, Houman; Zhang, Lei |
|
2008
|
Homogenization of parabolic equations with a continuum of space and time scales. Zbl 1170.34037
Owhadi, Houman; Zhang, Lei |
|
2008
|
Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities. Zbl 1194.74550
Lucas, L. J.; Owhadi, H.; Ortiz, M. |
|
2008
|
Ergodicity of Langevin processes with degenerate diffusion in momentums. Zbl 1173.82344
Bou-Rabee, Nawaf; Owhadi, Houman |
|
2008
|
Metric-based upscaling. Zbl 1190.35070
Owhadi, Houman; Zhang, Lei |
|
2007
|
Averaging versus chaos in turbulent transport? Zbl 1056.76038
Owhadi, Houman |
|
2004
|
Approximation of the effective conductivity of ergodic media by periodization. Zbl 1040.60025
Owhadi, Houman |
|
2003
|
Multiscale homogenization with bounded ratios and anomalous slow diffusion. Zbl 1205.76223
Ben Arous, Gérard; Owhadi, Houman |
|
2003
|
Anomalous slow diffusion from perpetual homogenization. Zbl 1042.60049
Owhadi, Houman |
|
2003
|
Super-diffusivity in a shear flow model from perpetual homogenization. Zbl 1065.76109
Ben Arous, Gérard; Owhadi, Houman |
|
2002
|