Concept

Compact convergence

Publications associées (84)

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Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

A combinatorial proof of a sumset conjecture of Furstenberg

Florian Karl Richter

We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if

\log r / \log s

is irrational and

X

and

Y

are

\times r

- and

\times s

-invariant subsets of

[0,1]

, respectively, then $\dim_\text{ ...

2021

Compact convergence

Graph Chatbot

Chattez avec Graph Search

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Residual-based attention in physics-informed neural networks

Gyrokinetic simulations of plasma turbulence in a Z-pinch using a moment-based approach and advanced collision operators

Localization errors of the stochastic heat equation

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

A combinatorial proof of a sumset conjecture of Furstenberg

Data-Driven Convergence Prediction of Astrobots Swarms

On the Almost Sure Convergence of Stochastic Gradient Descent in Non-Convex Problems

On the asymptotic behavior of the solutions to parabolic variational inequalities

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems

Gyrokinetic simulations of plasma turbulence in a Z-pinch using a moment-based approach and advanced collision operators

Residual-based attention in physics-informed neural networks

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Localization errors of the stochastic heat equation

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

A combinatorial proof of a sumset conjecture of Furstenberg

On the asymptotic behavior of the solutions to parabolic variational inequalities

Data-Driven Convergence Prediction of Astrobots Swarms

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems

On the Almost Sure Convergence of Stochastic Gradient Descent in Non-Convex Problems