Publications related to Metastability of reversible condensed zero range processes on a finite set

A Functional Perspective on Information Measures

Since the birth of Information Theory, researchers have defined and exploited various information measures, as well as endowed them with operational meanings. Some were born as a "solution to a problem", like Shannon's Entropy and Mutual Information. Other ...

EPFL2022

Preconditioners for robust optimal control problems under uncertainty

Fabio Nobile, Tommaso Vanzan

The discretization of robust quadratic optimal control problems under uncertainty using the finite element method and the stochastic collocation method leads to large saddle-point systems, which are fully coupled across the random realizations. Despite its ...

2022

Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical Solution

Daniel Kuhn, Soroosh Shafieezadeh Abadeh, Bahar Taskesen

Semi-discrete optimal transport problems, which evaluate the Wasserstein distance between a discrete and a generic (possibly non-discrete) probability measure, are believed to be computationally hard. Even though such problems are ubiquitous in statistics, ...

2021

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Florian Karl Richter

Let T be a measure-preserving Zℓ-action on the probability space (X,B,μ), let q1,…,qm:R→Rℓ be vector polynomials, and let f0,…,fm∈L∞⁡(X). For any ϵ>0 and multicorrelation sequences of the form α⁡(n)=∫Xf0⋅T⌊q1⁡(n)⌋⁢f1⋯T⌊qm⁡(n)⌋⁢fmd⁢μ we show that there exis ...

2021

Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions

Daniel Maria Busiello, Deepak Gupta

We consider a general discrete state-space system with both unidirectional and bidirectional links. In contrast to bidirectional links, there is no reverse transition along the unidirectional links Herein, we first compute the statistical length and the th ...

2020

Normalized Gaussian path integrals

Giulio Corazza

Path integrals play a crucial role in describing the dynamics of physical systems subject to classical or quantum noise. In fact, when correctly normalized, they express the probability of transition between two states of the system. In this work, we show ...

AMER PHYSICAL SOC2020

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps

Fabio Nobile, Francesca Bonizzoni, Davide Pradovera

The present work deals with rational model order reduction methods based on the single-point Least-Square (LS) Padé approximation techniques introduced in Bonizzoni et al. (ESAIM Math. Model. Numer. Anal., 52(4), 1261–1284 2018, Math. Comput. 89, 1229–1257 ...

2020

Uniform distribution in nilmanifolds along functions from a Hardy field

Florian Karl Richter

We study equidistribution properties of translations on nilmanifolds along functions of polynomial growth from a Hardy field. More precisely, if

X=G/\Gamma

is a nilmanifold,

a_1,\ldots,a_k\in G

are commuting nilrotations, and

f_1,\ldots,f_k

are funct ...

2020

Optimistic Distributionally Robust Optimization for Nonparametric Likelihood Approximation

Daniel Kuhn, Viet Anh Nguyen, Soroosh Shafieezadeh Abadeh, Wolfram Wiesemann

The likelihood function is a fundamental component in Bayesian statistics. However, evaluating the likelihood of an observation is computationally intractable in many applications. In this paper, we propose a non-parametric approximation of the likelihood ...

2019

Statistical Aspects of Wasserstein Distances

Victor Panaretos, Yoav Zemel

Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover th ...

ANNUAL REVIEWS2019

Metastability of reversible condensed zero range processes on a finite set

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A Functional Perspective on Information Measures

Preconditioners for robust optimal control problems under uncertainty

Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical Solution

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions

Normalized Gaussian path integrals

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps

Uniform distribution in nilmanifolds along functions from a Hardy field

Optimistic Distributionally Robust Optimization for Nonparametric Likelihood Approximation

Statistical Aspects of Wasserstein Distances

A Functional Perspective on Information Measures

Preconditioners for robust optimal control problems under uncertainty

Statistical Aspects of Wasserstein Distances

Uniform distribution in nilmanifolds along functions from a Hardy field

Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical Solution

Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions

Normalized Gaussian path integrals

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps

Optimistic Distributionally Robust Optimization for Nonparametric Likelihood Approximation

Structure of multicorrelation sequences with integer part polynomial iterates along primes