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

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

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Localization errors of the stochastic heat equation

On the asymptotic behavior of the solutions to parabolic variational inequalities

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

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

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems