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03/07/2023
Multilevel Monte Carlo methods for stochastic convection-diffusion eigenvalue problems
We develop new multilevel Monte Carlo (MLMC) methods to estimate the exp...
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09/30/2022
Downlink Compression Improves TopK Sparsification
Training large neural networks is time consuming. To speed up the proces...
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06/04/2022
Neural Lyapunov Control of Unknown Nonlinear Systems with Stability Guarantees
Learning for control of dynamical systems with formal guarantees remains...
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09/29/2021
Anderson Acceleration as a Krylov Method with Application to Asymptotic Convergence Analysis
Anderson acceleration is widely used for accelerating the convergence of...
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09/29/2021
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis
We study the asymptotic convergence of AA(m), i.e., Anderson acceleratio...
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01/02/2021
Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting
Fully implicit Runge-Kutta (IRK) methods have many desirable properties ...
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10/22/2020
N-ODE Transformer: A Depth-Adaptive Variant of the Transformer Using Neural Ordinary Differential Equations
We use neural ordinary differential equations to formulate a variant of ...
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07/06/2020
Quantifying the asymptotic linear convergence speed of Anderson Acceleration applied to ADMM
We explain how Anderson Acceleration (AA) speeds up the Alternating Dire...
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07/04/2020
On the Asymptotic Linear Convergence Speed of Anderson Acceleration, Nesterov Acceleration, and Nonlinear GMRES
We consider nonlinear convergence acceleration methods for fixed-point i...
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06/19/2020
Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods
In this paper we present a geometric multigrid method with Jacobi and Va...
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10/09/2019
Optimizing MGRIT and Parareal coarse-grid operators for linear advection
Parallel-in-time methods, such as multigrid reduction-in-time (MGRIT) an...
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01/22/2016