Publications related to Reconciling Factor Graph with User Feedback

A Local Law for Singular Values from Diophantine Equations

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

2020

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

Entropic Matroids and Their Representation

Emmanuel Abbé

This paper investigates entropic matroids, that is, matroids whose rank function is given as the Shannon entropy of random variables. In particular, we consider p-entropic matroids, for which the random variables each have support of cardinality p. We draw ...

2019

A Data-Driven Approach Based on Multivariate Copulas for Quantitative Risk Assessment of Concrete Dam

Zhenzhu Meng, Yating Hu, Chenfei Shao

Risk assessment of dam's running status is an important part of dam management. A data-driven method based on monitored displacement data has been applied in risk assessment, owing to its easy operation and real-time analysis. However, previous data-driven ...

MDPI2019

Chebyshev Inequalities for Products of Random Variables

Daniel Kuhn, Napat Rujeerapaiboon, Wolfram Wiesemann

We derive sharp probability bounds on the tails of a product of symmetric non-negative random variables using only information about their first two moments. If the covariance matrix of the random variables is known exactly, these bounds can be computed nu ...

2018

Reconstruction using approximate message passing methods

Paul Hurley, Matthieu Martin Jean-André Simeoni, Giovanni Cherubini, Sanaz Kazemi

The present invention is notably directed to a computer-implemented method for image reconstruction. The method comprises: accessing elements that respectively correspond to measurement values, which can be respectively mapped to measurement nodes; and per ...

2017

Dynamics of MOOC Discussion Forums

Pierre Dillenbourg, Mina Shirvani Boroujeni

In this integrated study of dynamics in MOOCs discussion forums, we analyze the interplay of temporal patterns, discussion content, and the social structure emerging from the communication using mixed methods. A special focus is on the yet under-explored a ...

2017

Ecologie politique des votations fédérales sur l’environnement en Suisse, 1981-2010

Shin Alexandre Koseki

Political cohesion is a key form of collective socio-ethical manifestations of solidarity and cooperation in groups. The disappearance of traditional political lines among voters and in the political elite destabilizes political institutions. Research find ...

Métis Presses2017

Dimensionality Reduction in Dynamic Optimization under Uncertainty

Napat Rujeerapaiboon

Dynamic optimization problems affected by uncertainty are ubiquitous in many application domains. Decision makers typically model the uncertainty through random variables governed by a probability distribution. If the distribution is precisely known, then ...

EPFL2016

Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations

Fabio Nobile

In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a random domain parameterized by N random variables. The elliptic problem is remap ...

2016

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A Local Law for Singular Values from Diophantine Equations

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

Entropic Matroids and Their Representation

A Data-Driven Approach Based on Multivariate Copulas for Quantitative Risk Assessment of Concrete Dam

Chebyshev Inequalities for Products of Random Variables

Reconstruction using approximate message passing methods

Dynamics of MOOC Discussion Forums

Ecologie politique des votations fédérales sur l’environnement en Suisse, 1981-2010

Dimensionality Reduction in Dynamic Optimization under Uncertainty

Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations

A Local Law for Singular Values from Diophantine Equations

Dimensionality Reduction in Dynamic Optimization under Uncertainty

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

Entropic Matroids and Their Representation

Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations

Dynamics of MOOC Discussion Forums

A Data-Driven Approach Based on Multivariate Copulas for Quantitative Risk Assessment of Concrete Dam

Ecologie politique des votations fédérales sur l’environnement en Suisse, 1981-2010

Chebyshev Inequalities for Products of Random Variables

Reconstruction using approximate message passing methods