Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes
Fuente:
arXiv
Saved in:
| Main Authors: | Chen, Yifan, Owhadi, Houman, Schäfer, Florian |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
GMRES with randomized sketching and deflated restarting
by: Burke, Liam, et al.
Published: (2023)
by: Burke, Liam, et al.
Published: (2023)
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
by: Palitta, Davide, et al.
Published: (2023)
by: Palitta, Davide, et al.
Published: (2023)
A derivative-free localized stochastic method for very high-dimensional semilinear parabolic PDEs
by: Fang, Shuixin, et al.
Published: (2025)
by: Fang, Shuixin, et al.
Published: (2025)
Accelerating a restarted Krylov method for matrix functions with randomization
by: Guidotti, Nicolas L., et al.
Published: (2025)
by: Guidotti, Nicolas L., et al.
Published: (2025)
A Mini-Batch Method for Solving Nonlinear PDEs with Gaussian Processes
by: Yang, Xianjin, et al.
Published: (2023)
by: Yang, Xianjin, et al.
Published: (2023)
Anderson acceleration with approximate calculations: applications to scientific computing
by: Pasini, Massimiliano Lupo, et al.
Published: (2022)
by: Pasini, Massimiliano Lupo, et al.
Published: (2022)
Beyond Low Rank: Fast Low-Rank + Diagonal Decomposition with a Spectral Approach
by: Yeon, Kingsley, et al.
Published: (2025)
by: Yeon, Kingsley, et al.
Published: (2025)
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
by: Vacek, Petr, et al.
Published: (2025)
by: Vacek, Petr, et al.
Published: (2025)
Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
by: Führer, Thomas, et al.
Published: (2026)
by: Führer, Thomas, et al.
Published: (2026)
Fast Maxwell Solvers Based on Exact Discrete Eigen-Decompositions I. Two-Dimensional Case
by: Wang, Lixiu, et al.
Published: (2025)
by: Wang, Lixiu, et al.
Published: (2025)
Sketched and Truncated Polynomial Krylov Subspace Methods: Matrix Sylvester Equations
by: Palitta, Davide, et al.
Published: (2023)
by: Palitta, Davide, et al.
Published: (2023)
Accelerating Newton-Schulz Iteration for Orthogonalization via Chebyshev-type Polynomials
by: Grishina, Ekaterina, et al.
Published: (2025)
by: Grishina, Ekaterina, et al.
Published: (2025)
Variable Projection Methods for Solving Regularized Separable Inverse Problems with Applications to Semi-Blind Image Deblurring
by: Salzer, Delfina B. Comerso, et al.
Published: (2026)
by: Salzer, Delfina B. Comerso, et al.
Published: (2026)
Convergence Analysis of a Variable Projection Method for Regularized Separable Nonlinear Inverse Problems
by: Español, Malena I., et al.
Published: (2024)
by: Español, Malena I., et al.
Published: (2024)
Fast operator learning for mapping correlations
by: Khoo, Yuehaw, et al.
Published: (2025)
by: Khoo, Yuehaw, et al.
Published: (2025)
On a randomized small-block Lanczos method for large-scale null space computations
by: Kressner, Daniel, et al.
Published: (2024)
by: Kressner, Daniel, et al.
Published: (2024)
The Detection and Correction of Silent Errors in Pipelined Krylov Subspace Methods
by: Carson, Erin Claire, et al.
Published: (2024)
by: Carson, Erin Claire, et al.
Published: (2024)
A Krylov projection algorithm for large symmetric matrices with dense spectra
by: Druskin, Vladimir, et al.
Published: (2025)
by: Druskin, Vladimir, et al.
Published: (2025)
Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing $B^T ϕ(A) B$
by: Zimmerling, Jörn, et al.
Published: (2024)
by: Zimmerling, Jörn, et al.
Published: (2024)
Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement
by: Dereziński, Michał, et al.
Published: (2026)
by: Dereziński, Michał, et al.
Published: (2026)
Computing electrostatic potentials using regularization based on the range-separated tensor format
by: Benner, Peter, et al.
Published: (2019)
by: Benner, Peter, et al.
Published: (2019)
Fast tensor-based electrostatic energy calculations in the perspective of protein-ligand docking problem
by: Benner, Peter, et al.
Published: (2025)
by: Benner, Peter, et al.
Published: (2025)
A hybrid Chebyshev-Tucker tensor format for approximation of multivariate functions
by: Benner, Peter, et al.
Published: (2025)
by: Benner, Peter, et al.
Published: (2025)
Randomized block-Krylov subspace methods for low-rank approximation of matrix functions
by: Persson, David, et al.
Published: (2025)
by: Persson, David, et al.
Published: (2025)
FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
by: Madhavan, Madhusudan, et al.
Published: (2026)
by: Madhavan, Madhusudan, et al.
Published: (2026)
Matrix-oriented FEM formulation for stationary and time-dependent PDEs on x-normal domains
by: Frittelli, Massimo, et al.
Published: (2021)
by: Frittelli, Massimo, et al.
Published: (2021)
A general framework for Krylov ODE residuals with applications to randomized Krylov methods
by: Krieger, Emil, et al.
Published: (2025)
by: Krieger, Emil, et al.
Published: (2025)
Optimal Sensor Placement in Gaussian Processes via Column Subset Selection
by: Chen, Jessie, et al.
Published: (2026)
by: Chen, Jessie, et al.
Published: (2026)
Parameter Selection by GCV and a $χ^2$ test within Iterative Methods for $\ell_1$-regularized Inverse Problems
by: Sweeney, Brian, et al.
Published: (2024)
by: Sweeney, Brian, et al.
Published: (2024)
Efficient Decomposition-Based Algorithms for $\ell_1$-Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices
by: Sweeney, Brian, et al.
Published: (2024)
by: Sweeney, Brian, et al.
Published: (2024)
Split Bregman Isotropic and Anisotropic Image Deblurring with Kronecker Product Sum Approximations using Single Precision Enlarged-GKB or RSVD Algorithms to provide low rank truncated SVDs
by: Alsubhi, Abdulmajeed, et al.
Published: (2024)
by: Alsubhi, Abdulmajeed, et al.
Published: (2024)
Sparse inverse Cholesky factorization of dense kernel matrices by greedy conditional selection
by: Huan, Stephen, et al.
Published: (2023)
by: Huan, Stephen, et al.
Published: (2023)
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods
by: Lu, Peipei, et al.
Published: (2021)
by: Lu, Peipei, et al.
Published: (2021)
Approximating Sparse Matrices and their Functions using Matrix-vector products
by: Park, Taejun, et al.
Published: (2023)
by: Park, Taejun, et al.
Published: (2023)
Fast and forward stable randomized algorithms for linear least-squares problems
by: Epperly, Ethan N.
Published: (2023)
by: Epperly, Ethan N.
Published: (2023)
Fast randomized least-squares solvers can be just as accurate and stable as classical direct solvers
by: Epperly, Ethan N., et al.
Published: (2024)
by: Epperly, Ethan N., et al.
Published: (2024)
Detecting when one probe vector is enough for preconditioned log-determinant approximation
by: Cortinovis, Alice, et al.
Published: (2026)
by: Cortinovis, Alice, et al.
Published: (2026)
Deflation-based preconditioning for immersed finite element methods and immersogeometric analysis
by: Voet, Yannis, et al.
Published: (2026)
by: Voet, Yannis, et al.
Published: (2026)
Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels
by: Fairbanks, Hillary R., et al.
Published: (2024)
by: Fairbanks, Hillary R., et al.
Published: (2024)
Nearly Optimal Approximation of Matrix Functions by the Lanczos Method
by: Amsel, Noah, et al.
Published: (2023)
by: Amsel, Noah, et al.
Published: (2023)
Similar Items
-
GMRES with randomized sketching and deflated restarting
by: Burke, Liam, et al.
Published: (2023) -
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
by: Palitta, Davide, et al.
Published: (2023) -
A derivative-free localized stochastic method for very high-dimensional semilinear parabolic PDEs
by: Fang, Shuixin, et al.
Published: (2025) -
Accelerating a restarted Krylov method for matrix functions with randomization
by: Guidotti, Nicolas L., et al.
Published: (2025) -
A Mini-Batch Method for Solving Nonlinear PDEs with Gaussian Processes
by: Yang, Xianjin, et al.
Published: (2023)