H. Owhadi

发表

Numerical coarsening of inhomogeneous elastic materials

Mathieu Desbrun, Lily Kharevych, Patrick Mullen, 2009, SIGGRAPH 2009.

Brittleness of Bayesian Inference Under Finite Information in a Continuous World

C. Scovel, H. Owhadi, T. Sullivan, 2013, 1304.6772.

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

H. Owhadi, L. Berlyand, Lei Zhang, 2012, 1212.0812.

Metric‐based upscaling

H. Owhadi, Lei Zhang, 2007 .

Stochastic Variational Partitioned Runge-Kutta Integrators for Constrained Systems

H. Owhadi, N. Bou-Rabee, Nawaf Bou-Rabee, 2007, 0709.2222.

Metric based up-scaling

H. Owhadi, Lei Zhang, 2005, math/0505223.

Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast

H. Owhadi, L. Berlyand, 2009, 0901.1463.

Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter

Houman Owhadi, Addis Kidane, G. Ravichandran, 2012 .

DISTANCES AND DIAMETERS IN CONCENTRATION INEQUALITIES: FROM GEOMETRY TO OPTIMAL ASSIGNMENT OF SAMPLING RESOURCES

H. Owhadi, T. Sullivan, 2012 .

Stochastic Variational Integrators

H. Owhadi, N. Bou-Rabee, Nawaf Bou-Rabee, 2007, 0708.2187.

Separability of reproducing kernel spaces

C. Scovel, H. Owhadi, 2015, 1506.04288.

Ju n 20 15 Separability of reproducing kernel Hilbert spaces

C. Scovel, H. Owhadi, 2015 .

Modeling Across Scales: Discrete Geometric Structures in Homogenization and Inverse Homogenization

Mathieu Desbrun, H. Owhadi, Roger Donaldson, 2013 .

Uncertainty Quantification for Modular and Hierarchical Models *

M. Ortiz, U. Topcu, H. Owhadi, 2022 .

Brittleness of Bayesian inference and new Selberg formulas

C. Scovel, H. Owhadi, 2013, 1304.7046.

Homogenization of the acoustic wave equation with a continuum of scales.

H. Owhadi, Lei Zhang, 2006 .

On testing the simulation theory

H. Owhadi, J. Sauvageau, Tom Campbell, 2017, 1703.00058.

Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis

Houman Owhadi, Clint Scovel, C. Scovel, 2017, 1703.10761.

Qualitative Robustness in Bayesian Inference

Houman Owhadi, Clint Scovel, C. Scovel, 2014, 1411.3984.

Variational and linearly-implicit integrators, with applications

H. Owhadi, Molei Tao, 2011, 1103.4645.

A new approach to homogenization with arbitrarily rough and high contrast coefficients for scalar and vectorial problems

H. Owhadi, L. Berlyand, 2009 .

Approximation of the effective conductivity of ergodic media by periodization

Houman Owhadi, H. Owhadi, 2002 .

Numerical homogenization of the acoustic wave equations with a continuum of scales

Houman Owhadi, Lei Zhang, H. Owhadi, 2006 .

Stochastic Simulation of a Casimir Oscillator

C. D. Silva, H. Owhadi, Farbod Khoshnoud, 2010 .

Stochastic Simulation of Energy Extraction With an Optically Controlled Nano-Electromechanical Engine

C. D. de Silva, H. Owhadi, Farbod Khoshnoud, 2011 .

Analysis and Design of a Nano-Electromechanical Vibration Sensor

C. D. Silva, H. Owhadi, Farbod Khoshnoud, 2010 .

Energy Harvesting From Ambient Vibration For Remote Vibration Monitoring With A Self-powered Nanotube Based Sensor

C. D. Silva, C. Ventura, H. Owhadi, 2011 .

Long-Run Behavior of Variational Integrators in the Stochastic Context

H. Owhadi, N. Bou-Rabee, Nawaf Bou-Rabee, 2009 .

Extreme points of a ball about a measure with finite support

Houman Owhadi, Clint Scovel, C. Scovel, 2015, 1504.06745.

Scientific Computation of Optimal Statistical Estimators

H. Owhadi, 2015 .

Control of a model of DNA division via parametric resonance.

W. Koon, H. Owhadi, Molei Tao, 2012, Chaos.

Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2010, 1006.4657.

A cutoff phenomenon in accelerated stochastic simulations of chemical kinetics via flow averaging (FLAVOR-SSA).

Houman Owhadi, Petros Koumoutsakos, Basil Bayati, 2010, The Journal of chemical physics.

Bayesian Brittleness: Why no Bayesian model is "good enough"

Houman Owhadi, T. J. Sullivan, Clint Scovel, 2013 .

Statistical Numerical Approximation

C. Scovel, H. Owhadi, Florian Schäfer, 2019, Notices of the American Mathematical Society.

De-noising by thresholding operator adapted wavelets Gene

H. Owhadi, Ryan Yoo, 2018 .

Anomalous diffusion and homogenization on an infinite number of scales

H. Owhadi, 2001 .

— PR EP R IN T — Uncertainty quantification via codimension-onepartitioning

U. Topcu, H. Owhadi, T. Sullivan, 2010 .

Uncertainty quantification via codimension one domain partitioning and a new concentration inequality

U. Topcu, H. Owhadi, M. McKerns, 2010 .

Equivalence of concentration inequalities for linear and non-linear functions

H. Owhadi, T. Sullivan, 2010, 1009.4913.

N A ] 2 J un 2 00 5 Metric based upscaling

H. Owhadi, Lei Zhang, 2007 .

N A ] 1 1 M ay 2 00 5 Metric based upscaling

H. Owhadi, Lei Zhang, 2007 .

Finite dimensional approximation of solutions of divergence form equations with rough and high contrast coefficients

Houman Owhadi, Leonid Berlyand, H. Owhadi, 2009 .

Anomalous slow diffusion from perpetual homogenization

Houman Owhadi, H. Owhadi, 2001, math/0105165.

Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization

B. Engquist, H. Owhadi, G. Bal, 2013 .

Flux Norm Approach to Homogenization Problems with non-separated Scales

H. Owhadi, L. Berlyand, 2009 .

Learning"best"kernels from data in Gaussian process regression. With application to aerodynamics

H. Owhadi, J. Akian, L. Bonnet, 2022, 2206.02563.

The game theoretic approach to Uncertainty Quantification, reduced order modeling and numerical analysis

H. Owhadi, 2017 .

Additional Programming Modules and Squeezing

C. Scovel, H. Owhadi, G. Yoo, 2021, Surveys and Tutorials in the Applied Mathematical Sciences.

Discrete Geometric Structures in Homogenization and Inverse Homogenization with Application to EIT

Mathieu Desbrun, H. Owhadi, Roger Donaldson, 2009, 0904.2601.

Numerical homogenization of the acoustic wave equations with a continuum of scales

H. Owhadi, Lei Zhang, 2006, math/0604380.

Symplectic, linearly-implicit and stable integrators, with applications to constrained dynamics

J. Marsden, H. Owhadi, Molei Tao, 2011 .

N ov 2 00 5 Metric based upscaling

H. Owhadi, Lei Zhang, 2022 .

Anomalous slow diffusion from perpetual homogenization

H. Owhadi, 2001, math/0105165.

Averaging Versus Chaos in Turbulent Transport?

H. Owhadi, 2004, math-ph/0402028.

Learning "best" kernels from data in Gaussian process regression. With application to aerodynamics

H. Owhadi, J. Akian, L. Bonnet, 2022, J. Comput. Phys..

ST ] 1 O ct 2 01 5 Towards Machine

C. Scovel, H. Owhadi, 2015 .

Self-powered Dynamic Systems in the framework of Optimal Uncertainty Quantification

Houman Owhadi, Ibrahim Esat, Michael M. McKerns, 2017 .

Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball

Hamed Hamze Bajgiran, C. Scovel, H. Owhadi, 2021, J. Comput. Phys..

Multiscale homogenization with bounded ratios and anomalous slow diffusion

G. Ben Arous, H. Owhadi, 2001, math/0105258.

Gaussian Process Hydrodynamics

H. Owhadi, 2022, 2209.10707.

One-Shot Learning of Stochastic Differential Equations with Computational Graph Completion

B. Hamzi, H. Owhadi, G. Livieri, 2022, ArXiv.

Homogenization of Parabolic Equations with a Continuum of Space and Time Scales

H. Owhadi, Lei Zhang, 2005, SIAM J. Numer. Anal..

Do ideas have shape? Idea registration as the continuous limit of artificial neural networks

H. Owhadi, 2020, Physica D: Nonlinear Phenomena.

Gaussian Process Hydrodynamics

H. Owhadi, 2022, ArXiv.

Geometric Langevin Algorithm

H. Owhadi, N. Bou-Rabee, 2007 .

One-Shot Learning of Stochastic Differential Equations with Data Adapted Kernels

B. Hamzi, H. Owhadi, G. Livieri, 2022, 2209.12086.

Mean-field limits of trained weights in deep learning: A dynamical systems perspective

B. Hamzi, H. Owhadi, A. Smirnov, 2022 .

Approximation of the effective conductivity of ergodic media by periodization

H. Owhadi, 2002, math/0201062.

Energy harvest via parametric super-resonance and temporal homogenization of linear ODEs

H. Owhadi, Molei Tao, 2013 .

One-shot learning of Stochastic differential equations with data adapted kernels

B. Hamzi, H. Owhadi, G. Livieri, 2022, Physica D: Nonlinear Phenomena.

Temporal Homogenization of Linear ODEs, with Applications to Parametric Super-Resonance and Energy Harvest

H. Owhadi, Molei Tao, 2015, Archive for Rational Mechanics and Analysis.

Super-Diffusivity in a Shear Flow Model¶from Perpetual Homogenization

G. Ben Arous, H. Owhadi, 2001, math/0105199.

Sparse recovery of elliptic solvers from matrix-vector products

H. Owhadi, Florian Schäfer, 2021, ArXiv.

Toward Machine Wald

Houman Owhadi, Clint Scovel, C. Scovel, 2015, 1508.02449.

Solving and Learning Nonlinear PDEs with Gaussian Processes

Houman Owhadi, Bamdad Hosseini, Yifan Chen, 2021, J. Comput. Phys..

Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity pdf

Florian Schäfer, Houman Owhadi, Timothy John Sullivan, 2017, Multiscale Model. Simul..

Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games

Houman Owhadi, H. Owhadi, 2015, SIAM Rev..

Conditioning Gaussian measure on Hilbert space

Houman Owhadi, Clint Scovel, C. Scovel, 2015, 1506.04208.

Bayesian Numerical Homogenization

Houman Owhadi, H. Owhadi, 2014, Multiscale Model. Simul..

Ballistic Transport at Uniform Temperature

Houman Owhadi, Nawaf Bou-Rabee, H. Owhadi, 2007, 0710.1565.

On the Brittleness of Bayesian Inference

Houman Owhadi, Clint Scovel, Timothy John Sullivan, 2013, SIAM Rev..

Variational integrators for electric circuits

Jerrold E. Marsden, Houman Owhadi, Sina Ober-Blöbaum, 2011, J. Comput. Phys..

Optimal uncertainty quantification with model uncertainty and legacy data

Houman Owhadi, Michael Ortiz, M. Ortiz, 2014 .

Optimal Uncertainty Quantification

Houman Owhadi, Michael Ortiz, Clint Scovel, 2010, SIAM Rev..

Optimal uncertainty quantification for legacy data observations of Lipschitz functions pdf

Houman Owhadi, Dominik Meyer, Florian Theil, 2012, ArXiv.

Rigorous uncertainty quantification without integral testing

Ufuk Topcu, Houman Owhadi, Michael Ortiz, 2011, Reliab. Eng. Syst. Saf..

Uncertainty quantification via codimension‐one partitioning

Ufuk Topcu, Houman Owhadi, U. Topcu, 2011 .

A non-adapted sparse approximation of PDEs with stochastic inputs

Houman Owhadi, Alireza Doostan, H. Owhadi, 2010, J. Comput. Phys..

Optimal Control Strategies for Robust Certification

Houman Owhadi, Sigrid Leyendecker, Michael Ortiz, 2010 .

Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities

Houman Owhadi, Michael Ortiz, Leonard J. Lucas, 2008 .

Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2009, Multiscale Model. Simul..

Learning dynamical systems from data: a simple cross-validation perspective pdf

Houman Owhadi, Boumediene Hamzi, B. Hamzi, 2020, Physica D: Nonlinear Phenomena.

Aggregation of Models, Choices, Beliefs, and Preferences

Houman Owhadi, Hamed Hamze Bajgiran, H. Owhadi, 2021, 2111.11630.

Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates

Houman Owhadi, Leonid Berlyand, Maxim V. Fedorov, 2010, Multiscale Model. Simul..

Review

C. Scovel, H. Owhadi, G. Yoo, 2023, Surveys and Tutorials in the Applied Mathematical Sciences.

The Mode Decomposition Problem

C. Scovel, H. Owhadi, G. Yoo, 2021, Surveys and Tutorials in the Applied Mathematical Sciences.

Kernel Mode Decomposition and programmable/interpretable regression networks pdf

Houman Owhadi, Clint Scovel, Gene Ryan Yoo, 2019, ArXiv.

Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization

Houman Owhadi, Clint Scovel, C. Scovel, 2019 .

On the equilibrium of simplicial masonry structures

Pierre Alliez, Mathieu Desbrun, Houman Owhadi, 2013, ACM Trans. Graph..

Machine Wald pdf

Houman Owhadi, Clint Scovel, C. Scovel, 2015, ArXiv.

Multi-scale Non-equilibrium Molecular Dynamics Formulation For Casimir Energy

Shaofan Li, C. D. Silva, H. Owhadi, 2011 .

Introduction

C. Scovel, H. Owhadi, G. Yoo, 2021, Surveys and Tutorials in the Applied Mathematical Sciences.

Aggregation of Pareto optimal models

Houman Owhadi, Hamed Hamze Bajgiran, H. Owhadi, 2021, 2112.04161.

Multiresolution operator decomposition for flow simulation in fractured porous media

Yang Li, Qingfu Zhang, Florian Schäfer, 2019, J. Comput. Phys..

On testing the simulation hypothesis

Houman Owhadi, Tom Campbell, David Watkinson, 2017 .

Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients

Houman Owhadi, Lei Zhang, H. Owhadi, 2016, J. Comput. Phys..

Bayesian Numerical Homogenization | Multiscale Modeling & Simulation | Vol. 13, No. 3 | Society for Industrial and Applied Mathematics

H. Owhadi, HOUMAN OWHADI, 2015 .

Decision Theoretic Bootstrapping

Hamed Hamze Bajgiran, H. Owhadi, P. Tavallali, 2021, International Journal for Uncertainty Quantification.

Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels

B. Hamzi, R. Maulik, H. Owhadi, 2021, Proceedings of the Royal Society A.

Gaussian process hydrodynamics

H. Owhadi, 2022, Applied Mathematics and Mechanics.

BISTABLE EQUILIBRIUM POINTS OF MERCURY BODY BURDEN

H. Owhadi, A. Boulos, 2006, q-bio/0606024.

Material-adapted refinable basis functions for elasticity simulation

Mathieu Desbrun, Max Budninskiy, Houman Owhadi, 2019, ACM Trans. Graph..

Handbook of Uncertainty Quantification

Houman Owhadi, David Higdon, Roger Ghanem, 2017 .

Symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2010, 1006.4659.

Long-Run Accuracy of Variational Integrators in the Stochastic Context

Houman Owhadi, Nawaf Bou-Rabee, H. Owhadi, 2007, SIAM J. Numer. Anal..

Gaussian processes A hands-on tutorial

Houman Owhadi, Paris Perdikaris, P. Perdikaris, 2017 .

Kernel Flows: from learning kernels from data into the abyss pdf

Houman Owhadi, Gene Ryan Yoo, H. Owhadi, 2018, J. Comput. Phys..

Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks pdf

Houman Owhadi, H. Owhadi, 2020, ArXiv.

Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums

H. Owhadi, N. Bou-Rabee, 2007, 0710.4259.

Competitive Mirror Descent pdf

Houman Owhadi, Anima Anandkumar, Florian Schafer, 2020, ArXiv.

Numerical coarsening of inhomogeneous elastic materials

Mathieu Desbrun, Houman Owhadi, Patrick Mullen, 2009, ACM Trans. Graph..

Kernel Methods are Competitive for Operator Learning

H. Owhadi, Bamdad Hosseini, Matthieu Darcy, 2023, ArXiv.

Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast

Houman Owhadi, Lei Zhang, H. Owhadi, 2010, Multiscale Model. Simul..

Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation pdf

Andrew M. Stuart, Houman Owhadi, Yifan Chen, 2020, Math. Comput..

Sparse Cholesky factorization by Kullback-Leibler minimization pdf

Houman Owhadi, Florian Schäfer, Matthias Katzfuss, 2020, SIAM J. Sci. Comput..

Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction

Hehu Xie, Houman Owhadi, Lei Zhang, 2018, SIAM J. Numer. Anal..

A Mini-Batch Method for Solving Nonlinear PDEs with Gaussian Processes

H. Owhadi, Xianjin Yang, 2023, ArXiv.

Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs

A. Stuart, H. Owhadi, Bamdad Hosseini, 2023, ArXiv.

Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes

H. Owhadi, F. Schafer, Yifan Chen, 2023, ArXiv.

Computational graph completion

H. Owhadi, 2021, Research in the Mathematical Sciences.

A Game Theoretic Approach to Numerical Approximation and Algorithm Design

Houman Owhadi, H. Owhadi, 2018 .

Temporal Homogenization of Linear ODEs, with Applications to Parametric Super-Resonance and Energy Harvest

Houman Owhadi, Molei Tao, H. Owhadi, 2013, 1310.6460.

Sparse Cholesky factorization by greedy conditional selection

M. Katzfuss, J. Guinness, H. Owhadi, 2023, arXiv.org.

Operator-adapted wavelets for finite-element differential forms

Mathieu Desbrun, Max Budninskiy, Houman Owhadi, 2019, J. Comput. Phys..

Multiclass classification utilising an estimated algorithmic probability prior

H. Owhadi, K. Dingle, P. Batlle, 2022, Physica D: Nonlinear Phenomena.

Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows

H. Owhadi, G. Yoo, 2020, ArXiv.

De-noising by thresholding operator adapted wavelets

Houman Owhadi, Gene Ryan Yoo, H. Owhadi, 2018, Statistics and Computing.

Convex Optimal Uncertainty Quantification

Ufuk Topcu, Richard M. Murray, Houman Owhadi, 2013, SIAM J. Optim..

Convex optimal uncertainty quantification: Algorithms and a case study in energy storage placement for power grids

Ufuk Topcu, Richard M. Murray, Houman Owhadi, 2013, 2013 American Control Conference.

Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series

B. Hamzi, H. Owhadi, E. Brouwer, 2021, Physica A: Statistical Mechanics and its Applications.

Optimization-based frequentist confidence intervals for functionals in constrained inverse problems: Resolving the Burrus conjecture

H. Owhadi, Pau Batlle, Pratik Patil, 2023, 2310.02461.

A non-adapted sparse approximation of PDEs with stochastic inputs

H. Owhadi, A. Doostan, 2010, J. Comput. Phys..

Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations

B. Hamzi, H. Owhadi, Y. Kevrekidis, 2023, Physica D: Nonlinear Phenomena.

Learning Dynamical Systems from Data: A Simple Cross-Validation Perspective, Part V: Sparse Kernel Flows for 132 Chaotic Dynamical Systems

B. Hamzi, H. Owhadi, Nai-ming Xie, 2023, Physica D: Nonlinear Phenomena.

Kernel Methods are Competitive for Operator Learning

H. Owhadi, Bamdad Hosseini, Matthieu Darcy, 2023, J. Comput. Phys..

Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots

H. Owhadi, Pau Batlle, Th'eo Bourdais, 2023, ArXiv.

Bridging Algorithmic Information Theory and Machine Learning: A New Approach to Kernel Learning

B. Hamzi, H. Owhadi, Marcus Hutter, 2023, Physica D: Nonlinear Phenomena.

A note on microlocal kernel design for some slow-fast stochastic differential equations with critical transitions and application to EEG signals

B. Hamzi, H. Owhadi, Léo Paillet, 2023, Physica A: Statistical Mechanics and its Applications.

Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2011, 1104.0272.

Fe b 20 04 Averaging versus Chaos in Turbulent Transport ?

H. Owhadi, 2008 .

Communications in Mathematical Physics Averaging Versus Chaos in Turbulent Transport ?

H. Owhadi, 2004 .

Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics

H. Owhadi, Michael Penwarden, Robert M. Kirby, 2024, arXiv.org.

Diffeomorphic Measure Matching with Kernels for Generative Modeling

H. Owhadi, Bamdad Hosseini, Pau Batlle, 2024, ArXiv.

Kernel Sum of Squares for Data Adapted Kernel Learning of Dynamical Systems from Data: A global optimization approach

B. Hamzi, H. Owhadi, P. Parpas, 2024, 2408.06465.

Learning dynamical systems from data: a simple cross-validation perspective, part

B. Hamzi, A. Braverman, H. Owhadi, 2021 .