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06/21/2023
Neural Multigrid Memory For Computational Fluid Dynamics
Turbulent flow simulation plays a crucial role in various applications, ...
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10/30/2022
One Gradient Frank-Wolfe for Decentralized Online Convex and Submodular Optimization
Decentralized learning has been studied intensively in recent years moti...
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07/31/2022
Online Decentralized Frank-Wolfe: From theoretical bound to applications in smart-building
The design of decentralized learning algorithms is important in the fast...
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04/18/2022
Multilevel Picard approximations for high-dimensional decoupled forward-backward stochastic differential equations
Backward stochastic differential equations (BSDEs) appear in numeruous a...
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02/05/2022
Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions
The full history recursive multilevel Picard approximation method for se...
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11/08/2021
Strong convergence rate of Euler-Maruyama approximations in temporal-spatial Hölder-norms
Classical approximation results for stochastic differential equations an...
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08/24/2021
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations
Backward stochastic differential equations (BSDEs) belong nowadays to th...
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03/19/2021
Multilevel Picard approximations for McKean-Vlasov stochastic differential equations
In the literatur there exist approximation methods for McKean-Vlasov sto...
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09/05/2020
Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities
The recently introduced full-history recursive multilevel Picard (MLP) a...
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08/28/2019
A Liouville principle for the random conductance model under degenerate conditions
We consider a random conductance model on the d-dimensional lattice, d∈[...
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05/30/2019
Deep Learning Approach for Receipt Recognition
Inspired by the recent successes of deep learning on Computer Vision and...
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05/20/2019
An L^p-comparison, p∈ (1,∞), on the finite differences of a discrete harmonic function at the boundary of a discrete box
It is well-known that for a harmonic function u defined on the unit ball...
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08/24/2017