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62 papers · 1 filter
Modeling and simulation with operator scaling
Serge Cohen, Mark M. Meerschaert, Jan Rosinski
Self-similar processes are useful in modeling diverse phenomena that exhibit scaling properties. Operator scaling allows a different scale factor in each coordinate. This paper dev…
Approximation of stationary solutions of Gaussian driven Stochastic Differential Equations
Serge Cohen, Fabien Panloup
We study sequences of empirical measures of Euler schemes associated to some non-Markovian SDEs: SDEs driven by Gaussian processes with stationary increments. We obtain the functio…
Non asymptotic minimax rates of testing in signal detection with heterogeneous variances
Béatrice Laurent, Jean-Michel Loubès, Clément Marteau
The aim of this paper is to establish non-asymptotic minimax rates of testing for goodness-of-fit hypotheses in a heteroscedastic setting. More precisely, we deal with sequences $(…
Triangulated categories of mixed motives
Denis-Charles Cisinski, Frédéric Déglise
This book discusses the construction of triangulated categories of mixed motives over a noetherian scheme of finite dimension, extending Voevodsky's definition of motives over a fi…
Adaptive estimation of spectral densities via wavelet thresholding and information projection
Jérémie Bigot, Rolando Biscay Lirio, Jean-Michel Loubes +1
In this paper, we study the problem of adaptive estimation of the spectral density of a stationary Gaussian process. For this purpose, we consider a wavelet-based method which comb…
A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters
Amic Frouvelle
We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a large number of self-…