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Additive white Gaussian noise

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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

Additive white Gaussian noise

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Distributionally Robust Linear Quadratic Control

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Regularization for distributionally robust state estimation and prediction

Propagation of singularities for the stochastic wave equation

Shannon Bounds on Lossy Gray-Wyner Networks

Score Matching Enables Causal Discovery of Nonlinear Additive Noise Models

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Local Nondeterminism and Local Times of the Stochastic Wave Equation Driven by Fractional-Colored Noise

Localization errors of the stochastic heat equation

The Gray-Wyner Network and Wyner's Common Information for Gaussian Sources

Regularization for distributionally robust state estimation and prediction

Localization errors of the stochastic heat equation

Local Nondeterminism and Local Times of the Stochastic Wave Equation Driven by Fractional-Colored Noise

The Gray-Wyner Network and Wyner's Common Information for Gaussian Sources

Distributionally Robust Linear Quadratic Control

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Shannon Bounds on Lossy Gray-Wyner Networks

Score Matching Enables Causal Discovery of Nonlinear Additive Noise Models

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Propagation of singularities for the stochastic wave equation