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10 papers · 1 filter
A Schelling model with switching agents: decreasing segregation via random allocation and social mobility
Aurélien Hazan, Julien Randon-Furling
We study the behaviour of a Schelling-class system in which a fraction of spatially-fixed switching agents is introduced. This new model allows for multiple interpretations, in…
What is Nature-like Computation? A Behavioural Approach and a Notion of Programmability
Hector Zenil
The aim of this paper is to propose an alternative behavioural definition of computation (and of a computer) based simply on whether a system is capable of reacting to the environm…
Neural Networks for Complex Data
Marie Cottrell, Madalina Olteanu, Fabrice Rossi +2
Artificial neural networks are simple and efficient machine learning tools. Defined originally in the traditional setting of simple vector data, neural network models have evolved…
Convex hull of n planar Brownian paths: an exact formula for the average number of edges
Julien Randon-Furling
We establish an exact formula for the average number of edges appearing on the boundary of the global convex hull of n independent Brownian paths in the plane. This requires the in…
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold
Zdzislaw Brzezniak, Annie Millet
We prove the existence and the uniqueness of a solution to the stochastic NSLE on a two-dimensional compact riemannian manifold. Thus we generalize a recent work by Burq, Gérard an…
Monitoring procedure for parameter change in causal time series
Jean-Marc Bardet, William Chakry Kengne
We propose a new sequential procedure to detect change in the parameters of a process belonging to a large class of causal models (such as AR(), ARCH(…