Publications related to Probability distribution

MATHICSE Technical Report: Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale

Assyr Abdulle, Andrea Zanoni, Grigorios A. Pavliotis

We propose a novel method for drift estimation of multiscale diffusion processes when a sequence of discrete observations is given. For the Langevin dynamics in a two-scale potential, our approach relies on the eigenvalues and the eigenfunctions of the hom ...

MATHICSE2021

Does It Pay to Do Novel Science? The Selectivity Patterns in Science Funding

Fabiana Visentin, Charles Chadi Ayoubi, Michele Pezzoni

Public funding agencies aim to fund novel breakthrough research to promote the radical scientific discoveries of tomorrow. Identifying the profiles of scientists being financed to pursue their research is therefore crucial. This paper shows that the fundin ...

OXFORD UNIV PRESS2021

Stochastic Optimal Control for Autonomous Driving Applications via Polynomial Chaos Expansions

Colin Neil Jones, Petr Listov, Johannes Christian Schwarz

Model-based methods in autonomous driving and advanced driving assistance gain importance in research and development due to their potential to contribute to higher road safety. Parameters of vehicle models, however, are hard to identify precisely or they ...

2021

A Statistical Test for Probabilistic Fairness

Daniel Kuhn, Viet Anh Nguyen, Bahar Taskesen

Algorithms are now routinely used to make consequential decisions that affect human lives. Examples include college admissions, medical interventions or law enforcement. While algorithms empower us to harness all information hidden in vast amounts of data, ...

2021

Direct measurement of key exciton properties: Energy, dynamics, and spatial distribution of the wave function

Michele Puppin, Martin Wolf

Excitons, Coulomb-bound electron-hole pairs, are the fundamental excitations governing the optoelectronic properties of semiconductors. Although optical signatures of excitons have been studied extensively, experimental access to the excitonic wave functio ...

Hoboken2021

Improving parametric mass modelling of lensing clusters through a perturbative approach

Jean-Paul Richard Kneib, Benjamin Yvan Alexandre Clement, Benjamin Emmanuel Nicolas Beauchesne, Johan Richard

We present a new method to model the mass distribution of galaxy clusters that combines a parametric and a free-form approach to reconstruct cluster cores with strong lensing constraints. It aims at combining the advantages of both approaches, by keeping t ...

OXFORD UNIV PRESS2021

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Matthew De Courcy-Ireland

We prove equidistribution at shrinking scales for the monochromatic ensemble on a compact Riemannian manifold of any dimension. This ensemble on an arbitrary manifold takes a slowly growing spectral window in order to synthesize a random function. With hig ...

OXFORD UNIV PRESS2021

A Variational Inference Approach to Learning Multivariate Wold Processes

Patrick Thiran, Matthias Grossglauser, Negar Kiyavash, Seyed Jalal Etesami, William Trouleau

Temporal point-processes are often used for mathematical modeling of sequences of discrete events with asynchronous timestamps. We focus on a class of temporal point-process models called multivariate Wold processes (MWP). These processes are well suited t ...

PMLR2021

Robust Generalization via $\alpha$-Mutual Information

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

The aim of this work is to provide bounds connecting two probability measures of the same event using Rényi

\alpha

-Divergences and Sibson’s

\alpha

-Mutual Information, a generalization of respectively the Kullback-Leibler Divergence and Shannon’s Mutual ...

ETHZ2020

Distributional Robustness in Mechanism Design

Cagil Kocyigit

Mechanism design theory examines the design of allocation mechanisms or incentive systems involving multiple rational but self-interested agents and plays a central role in many societally important problems in economics. In mechanism design problems, agen ...

EPFL2020

Probability distribution

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MATHICSE Technical Report: Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale

Does It Pay to Do Novel Science? The Selectivity Patterns in Science Funding

Stochastic Optimal Control for Autonomous Driving Applications via Polynomial Chaos Expansions

A Statistical Test for Probabilistic Fairness

Direct measurement of key exciton properties: Energy, dynamics, and spatial distribution of the wave function

Improving parametric mass modelling of lensing clusters through a perturbative approach

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

A Variational Inference Approach to Learning Multivariate Wold Processes

Robust Generalization via $\alpha$-Mutual Information

Distributional Robustness in Mechanism Design

Robust Generalization via $\alpha$-Mutual Information

MATHICSE Technical Report: Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Improving parametric mass modelling of lensing clusters through a perturbative approach

A Variational Inference Approach to Learning Multivariate Wold Processes

Distributional Robustness in Mechanism Design

Direct measurement of key exciton properties: Energy, dynamics, and spatial distribution of the wave function

Stochastic Optimal Control for Autonomous Driving Applications via Polynomial Chaos Expansions

Does It Pay to Do Novel Science? The Selectivity Patterns in Science Funding

A Statistical Test for Probabilistic Fairness