Publications related to Analytic Sensing For Multi-Layer Spherical Models With Application To EEG Source Imaging

Lower-bounds on the Bayesian Risk in Estimation Procedures via f–Divergences

Michael Christoph Gastpar, Adrien Vandenbroucque, Amedeo Roberto Esposito

We consider the problem of parameter estimation in a Bayesian setting and propose a general lower-bound that includes part of the family of f-Divergences. The results are then applied to specific settings of interest and compared to other notable results i ...

2022

Quadrature-free immersed isogeometric analysis

Pablo Antolin Sanchez, Thibaut Hirschler

This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the eva ...

SPRINGER2022

Generalization Error Bounds Via Rényi-, f-Divergences and Maximal Leakage

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

In this work, the probability of an event under some joint distribution is bounded by measuring it with the product of the marginals instead (which is typically easier to analyze) together with a measure of the dependence between the two random variables. ...

2021

Is there an analog of Nesterov acceleration for gradient-based MCMC?

Nicolas Henri Bernard Flammarion, Xiang Cheng

We formulate gradient-based Markov chain Monte Carlo (MCMC) sampling as optimization on the space of probability measures, with Kullback-Leibler (KL) divergence as the objective functional. We show that an under-damped form of the Langevin algorithm perfor ...

INT STATISTICAL INST2021

Robust Generalization via f−Mutual Information

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

Given two probability measures P and Q and an event E, we provide bounds on P(E) in terms of Q(E) and f-divergences. In particular, the bounds are instantiated when the measures considered are a joint distribution and the corresponding product of marginals ...

IEEE2020

Dynamic analysis of fMRI activation during epileptic spikes can help identify the seizure origin

Amir Hossein Omidvarnia

Objective We use the dynamic electroencephalography-functional magnetic resonance imaging (EEG-fMRI) method to incorporate variability in the amplitude and field of the interictal epileptic discharges (IEDs) into the fMRI analysis. We ask whether IED varia ...

2020

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

Entropy as a tool for crystal discovery

Pablo Miguel Piaggi

The computational prediction of crystal structures has emerged as an useful alternative to expensive and often cumbersome experiments. We propose an approach to the prediction of crystal structures and polymorphism based on reproducing the crystallization ...

EPFL2019

Simultaneous EEG-fMRI at ultra-high field for the study of human brain function

João Pedro Forjaco Jorge

Scalp electroencephalography (EEG) and functional magnetic resonance imaging (fMRI) have highly complementary domains, and their combination has been actively sought within neuroscience research. The important gains in fMRI sensitivity achieved with higher ...

EPFL2016

Presurgical brain mapping in epilepsy using simultaneous EEG and functional MRI at ultra-high field: feasibility and first results

Wietske Van der Zwaag, João Pedro Forjaco Jorge, François Lazeyras, Giannina Rita Iannotti

OBJECTIVES: The aim of this study was to demonstrate that eloquent cortex and epileptic-related hemodynamic changes can be safely and reliably detected using simultaneous electroencephalography (EEG)-functional magnetic resonance imaging (fMRI) recordings ...

Springer Verlag2016

Analytic Sensing For Multi-Layer Spherical Models With Application To EEG Source Imaging

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Lower-bounds on the Bayesian Risk in Estimation Procedures via f–Divergences

Quadrature-free immersed isogeometric analysis

Generalization Error Bounds Via Rényi-, f-Divergences and Maximal Leakage

Is there an analog of Nesterov acceleration for gradient-based MCMC?

Robust Generalization via f−Mutual Information

Dynamic analysis of fMRI activation during epileptic spikes can help identify the seizure origin

Robust Generalization via $\alpha$-Mutual Information

Entropy as a tool for crystal discovery

Simultaneous EEG-fMRI at ultra-high field for the study of human brain function

Presurgical brain mapping in epilepsy using simultaneous EEG and functional MRI at ultra-high field: feasibility and first results

Quadrature-free immersed isogeometric analysis

Generalization Error Bounds Via Rényi-, f-Divergences and Maximal Leakage

Robust Generalization via f−Mutual Information

Robust Generalization via $\alpha$-Mutual Information

Dynamic analysis of fMRI activation during epileptic spikes can help identify the seizure origin

Presurgical brain mapping in epilepsy using simultaneous EEG and functional MRI at ultra-high field: feasibility and first results

Simultaneous EEG-fMRI at ultra-high field for the study of human brain function

Is there an analog of Nesterov acceleration for gradient-based MCMC?

Entropy as a tool for crystal discovery

Lower-bounds on the Bayesian Risk in Estimation Procedures via f–Divergences