Publications related to Correlations

An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

We give an extension of Le's stochastic sewing lemma. The stochastic sewing lemma proves convergence in

L_m

of Riemann type sums

\sum _{[s,t] \in \pi } A_{s,t}

for an adapted two-parameter stochastic process A, under certain conditions on the moments o ...

Cambridge Univ Press2024

Quantifying uncertain system outputs via the multi-level Monte Carlo method --- distribution and robustness measures

Fabio Nobile, Sebastian Krumscheid, Sundar Subramaniam Ganesh

In this work, we consider the problem of estimating the probability distribution, the quantile or the conditional expectation above the quantile, the so called conditional-value-at-risk, of output quantities of complex random differential models by the MLM ...

2022

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Michael Christoph Gastpar, Alper Köse, Ahmet Arda Atalik

The conditional mean is a fundamental and important quantity whose applications include the theories of estimation and rate-distortion. It is also notoriously difficult to work with. This paper establishes novel bounds on the differential entropy of the co ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Differential Entropy of the Conditional Expectation under Gaussian Noise

Michael Christoph Gastpar, Alper Köse, Ahmet Arda Atalik

This paper considers an additive Gaussian noise channel with arbitrarily distributed finite variance input signals. It studies the differential entropy of the minimum mean-square error (MMSE) estimator and provides a new lower bound which connects the diff ...

IEEE2021

A quantum algorithm for the direct estimation of the steady state of open quantum systems

Vincenzo Savona, Nathan Ramusat

Simulating the dynamics and the non-equilibrium steady state of an open quantum system are hard computational tasks on conventional computers. For the simulation of the time evolution, several efficient quantum algorithms have recently been developed. Howe ...

VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF2021

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

Matthieu Claude Martin

This thesis work focuses on optimal control of partial differential equations (PDEs) with uncertain parameters, treated as a random variables. In particular, we assume that the random parameters are not observable and look for a deterministic control which ...

EPFL2019

Deterministic Algorithms for Submodular Maximization Problems

Moran Feldman

Randomization is a fundamental tool used in many theoretical and practical areas of computer science. We study here the role of randomization in the area of submodular function maximization. In this area, most algorithms are randomized, and in almost all c ...

ASSOC COMPUTING MACHINERY2018

Spontaneous symmetry breaking in a quadratically driven nonlinear photonic lattice

Vincenzo Savona

We investigate the occurrence of a phase transition, characterized by the spontaneous breaking of a discrete symmetry, in a driven-dissipative Bose-Hubbard lattice in the presence of two-photon coherent driving. The driving term does not lift the original ...

Amer Physical Soc2017

Robust Data-Driven Dynamic Programming

Daniel Kuhn, Grani Adiwena Hanasusanto

In stochastic optimal control the distribution of the exogenous noise is typically unknown and must be inferred from limited data before dynamic programming (DP)-based solution schemes can be applied. If the conditional expectations in the DP recursions ar ...

2013

Propagation Models for Biochemical Reaction Networks

Maria-Emanuela-Canini Mateescu

In this thesis we investigate different ways of approximating the solution of the chemical master equation (CME). The CME is a system of differential equations that models the stochastic transient behaviour of biochemical reaction networks. It does so by d ...

EPFL2011

Correlations

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An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

Quantifying uncertain system outputs via the multi-level Monte Carlo method --- distribution and robustness measures

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Differential Entropy of the Conditional Expectation under Gaussian Noise

A quantum algorithm for the direct estimation of the steady state of open quantum systems

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

Deterministic Algorithms for Submodular Maximization Problems

Spontaneous symmetry breaking in a quadratically driven nonlinear photonic lattice

Robust Data-Driven Dynamic Programming

Propagation Models for Biochemical Reaction Networks

An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

Quantifying uncertain system outputs via the multi-level Monte Carlo method --- distribution and robustness measures

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Differential Entropy of the Conditional Expectation under Gaussian Noise

A quantum algorithm for the direct estimation of the steady state of open quantum systems

Robust Data-Driven Dynamic Programming

Spontaneous symmetry breaking in a quadratically driven nonlinear photonic lattice

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

Deterministic Algorithms for Submodular Maximization Problems

Propagation Models for Biochemical Reaction Networks