Houman Owhadi

Orcid: 0000-0002-5677-1600

Affiliations:
  • California Institute of Technology, Pasadena, CA, USA


According to our database1, Houman Owhadi authored at least 56 papers between 2007 and 2024.

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Bibliography

2024
Kernel methods are competitive for operator learning.
J. Comput. Phys., January, 2024

Sparse Recovery of Elliptic Solvers from Matrix-Vector Products.
SIAM J. Sci. Comput., 2024

Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics.
CoRR, 2024

Diffeomorphic Measure Matching with Kernels for Generative Modeling.
CoRR, 2024

2023
Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots.
CoRR, 2023

Bridging Algorithmic Information Theory and Machine Learning: A New Approach to Kernel Learning.
CoRR, 2023

Sparse Cholesky factorization by greedy conditional selection.
CoRR, 2023

A Mini-Batch Method for Solving Nonlinear PDEs with Gaussian Processes.
CoRR, 2023

Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs.
CoRR, 2023

Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes.
CoRR, 2023

Learning Dynamical Systems from Data: A Simple Cross-Validation Perspective, Part V: Sparse Kernel Flows for 132 Chaotic Dynamical Systems.
CoRR, 2023

2022
Uncertainty quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball.
J. Comput. Phys., 2022

Learning "best" kernels from data in Gaussian process regression. With application to aerodynamics.
J. Comput. Phys., 2022

Multiclass classification utilising an estimated algorithmic probability prior.
CoRR, 2022

One-Shot Learning of Stochastic Differential Equations with Computational Graph Completion.
CoRR, 2022

Gaussian Process Hydrodynamics.
CoRR, 2022

2021
Sparse Cholesky Factorization by Kullback-Leibler Minimization.
SIAM J. Sci. Comput., 2021

Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation.
Math. Comput., 2021

Compression, Inversion, and Approximate PCA of Dense Kernel Matrices at Near-Linear Computational Complexity.
Multiscale Model. Simul., 2021

Solving and learning nonlinear PDEs with Gaussian processes.
J. Comput. Phys., 2021

Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series.
CoRR, 2021

Computational Graph Completion.
CoRR, 2021

Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball.
CoRR, 2021

Decision Theoretic Bootstrapping.
CoRR, 2021

2020
Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks.
CoRR, 2020

Learning dynamical systems from data: a simple cross-validation perspective.
CoRR, 2020

Competitive Mirror Descent.
CoRR, 2020

Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows.
CoRR, 2020

2019
Material-adapted refinable basis functions for elasticity simulation.
ACM Trans. Graph., 2019

Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction.
SIAM J. Numer. Anal., 2019

De-noising by thresholding operator adapted wavelets.
Stat. Comput., 2019

Multiresolution operator decomposition for flow simulation in fractured porous media.
J. Comput. Phys., 2019

Kernel Flows: From learning kernels from data into the abyss.
J. Comput. Phys., 2019

Operator-adapted wavelets for finite-element differential forms.
J. Comput. Phys., 2019

Kernel Mode Decomposition and programmable/interpretable regression networks.
CoRR, 2019

2017
Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games.
SIAM Rev., 2017

Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients.
J. Comput. Phys., 2017

2015
On the Brittleness of Bayesian Inference.
SIAM Rev., 2015

Convex Optimal Uncertainty Quantification.
SIAM J. Optim., 2015

Bayesian Numerical Homogenization.
Multiscale Model. Simul., 2015

Machine Wald.
CoRR, 2015

2013
On the equilibrium of simplicial masonry structures.
ACM Trans. Graph., 2013

Optimal Uncertainty Quantification.
SIAM Rev., 2013

Variational integrators for electric circuits.
J. Comput. Phys., 2013

Convex optimal uncertainty quantification: Algorithms and a case study in energy storage placement for power grids.
Proceedings of the American Control Conference, 2013

2012
The Optimal Uncertainty Algorithm in the Mystic Framework
CoRR, 2012

Optimal uncertainty quantification for legacy data observations of Lipschitz functions.
CoRR, 2012

2011
Rigorous uncertainty quantification without integral testing.
Reliab. Eng. Syst. Saf., 2011

Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast.
Multiscale Model. Simul., 2011

A non-adapted sparse approximation of PDEs with stochastic inputs.
J. Comput. Phys., 2011

2010
Long-Run Accuracy of Variational Integrators in the Stochastic Context.
SIAM J. Numer. Anal., 2010

Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates.
Multiscale Model. Simul., 2010

Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging.
Multiscale Model. Simul., 2010

2009
Numerical coarsening of inhomogeneous elastic materials.
ACM Trans. Graph., 2009

Multiple target detection using Bayesian learning.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2007
Homogenization of Parabolic Equations with a Continuum of Space and Time Scales.
SIAM J. Numer. Anal., 2007


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