Search results for " and statistics"

Coherence between brain activation and speech envelope at word and sentence levels showed age-related differences in low frequency bands

2021

Abstract Speech perception is dynamic and shows changes across development. In parallel, functional differences in brain development over time have been well documented and these differences may interact with changes in speech perception during infancy and childhood. Further, there is evidence that the two hemispheres contribute unequally to speech segmentation at the sentence and phonemic levels. To disentangle those contributions, we studied the cortical tracking of various sized units of speech that are crucial for spoken language processing in children (4.7–9.3 years old, N = 34) and adults (N = 19). We measured participants’ magnetoencephalogram (MEG) responses to syllables, words, and…

Measuring High-Order Interactions in Rhythmic Processes Through Multivariate Spectral Information Decomposition

2021

Many complex systems in physics, biology and engineering are modeled as dynamical networks and described using multivariate time series analysis. Recent developments have shown that the emergent dynamics of a network system are significantly affected by interactions involving multiple network nodes which cannot be described using pairwise links. While these higher-order interactions can be probed using information-theoretic measures, a rigorous framework to describe them in the frequency domain is still lacking. This work presents an approach for the spectral decomposition of multivariate information measures, capable of identifying higher-order synergistic and redundant interactions betwee…

La circulation des objets métalliques à l'âge du Bronze entre Rhône et Saône: utilisation d'une transformation cartographique linéaire

2006

In order to gain a better understanding of circulation flows of metal objects during the Bronze Age, and move beyond traditional distribution maps of archaeological discoveries, the authors propose a more quantitative and concise method of graphic representation, namely cartographic linear transformation. The value of the method was tested on the Saône-Rhône axis. Bronze axes, swords and daggers were recorded along a 50 km strip either side of the river axis, in order to estimate the frequency and mass of objects in “circulation”.

Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems

2023

AbstractTheoretical and applied cancer studies that use individual-based models (IBMs) have been limited by the lack of a mathematical formulation that enables rigorous analysis of these models. However, spatial cumulant models (SCMs), which have arisen from theoretical ecology, describe population dynamics generated by a specific family of IBMs, namely spatio-temporal point processes (STPPs). SCMs are spatially resolved population models formulated by a system of differential equations that approximate the dynamics of two STPP-generated summary statistics: first-order spatial cumulants (densities), and second-order spatial cumulants (spatial covariances).We exemplify how SCMs can be used i…

On the use of fractional calculus for the probabilistic characterization of random variables

2009

In this paper, the classical problem of the probabilistic characterization of a random variable is re-examined. A random variable is usually described by the probability density function (PDF) or by its Fourier transform, namely the characteristic function (CF). The CF can be further expressed by a Taylor series involving the moments of the random variable. However, in some circumstances, the moments do not exist and the Taylor expansion of the CF is useless. This happens for example in the case of $\alpha$--stable random variables. Here, the problem of representing the CF or the PDF of random variables (r.vs) is examined by introducing fractional calculus. Two very remarkable results are o…

Reflections on Connectionist Modeling

2018

International audience

Neural networks with non-uniform embedding and explicit validation phase to assess Granger causality

2015

A challenging problem when studying a dynamical system is to find the interdependencies among its individual components. Several algorithms have been proposed to detect directed dynamical influences between time series. Two of the most used approaches are a model-free one (transfer entropy) and a model-based one (Granger causality). Several pitfalls are related to the presence or absence of assumptions in modeling the relevant features of the data. We tried to overcome those pitfalls using a neural network approach in which a model is built without any a priori assumptions. In this sense this method can be seen as a bridge between model-free and model-based approaches. The experiments perfo…

Lidar : traitement avancé des données et interprétation archéologique - cours 2016

2016

Do firms share the same functional form of their growth rate distribution? A statistical test

2014

We introduce a new statistical test of the hypothesis that a balanced panel of firms have the same growth rate distribution or, more generally, that they share the same functional form of growth rate distribution. We applied the test to European Union and US publicly quoted manufacturing firms data, considering functional forms belonging to the Subbotin family of distributions. While our hypotheses are rejected for the vast majority of sets at the sector level, we cannot rejected them at the subsector level, indicating that homogenous panels of firms could be described by a common functional form of growth rate distribution.

La vulgarisation scientifique et les doctorants : mesure de l'engagement, exploration d'effets sur le chercheur

2018

We ask two questions: what are the factors that influence researchers’ public engagement activities (PEA)? And what are the impacts of these activities on the researcher? After presenting a historical overview of PEA, we analyze 20 surveys carried out between 1967 and 2014. We identify some global trends: PEA is generally positively perceived, researcher’s engagement is occasional but robust. Besides those trends some differences appear between studies based on theoretical models and empirical studies: the latter report complaints such as lack of time or lack of recognition, whereas theoretical-based ones challenge these statements.To further explore our two questions, we used two approache…