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An adapted linear discriminant analysis for the classification in high-dimension, and an application to medical data
The classification of normally distributed data in a high-dimensional setting when variables are more numerous than observations is …
Thi Khuyen Le
,
Caroline Chaux
,
Frédéric J.P. Richard
,
Eric Guedj
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DOI
Statistical tests of heterogeneity for anisotropic multifractional Brownian fields.
In this paper, we deal with some anisotropic extensions of the multifractional Brownian fields that account for spatial phenomena whose …
Huong T.L.Vu
,
Frédéric J.P. Richard
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DOI
A consistent framework for a statistical analysis of surfaces based on generalized stochastic processes
The statistical analysis of surfaces is an important issue of Image Analysis, especially in Computational Anatomy. In [23], Vaillant …
Benjamin Coulaud
,
Frédéric J.P Richard
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DOI
Surface Regularity via the Estimation of Fractional Brownian Motion Index
The recent definition of fractional Brownian motions on surfaces has raised the statistical issue of estimating the Hurst index …
Hamed Rabiei
,
Olivier Coulon
,
Julien Lefèvre
,
Frédéric J. P. Richard
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DOI
Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures
The characterization and estimation of the Hölder regularity of random fields has long been an important topic of Probability theory …
Frédéric J.P. Richard
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DOI
A Turning-Band Method for the Simulation of Anisotropic Fractional Brownian Fields.
In this article, we propose a method for simulating realizations of two-dimensional anisotropic fractional Brownian fields (AFBF) …
Hermine Biermé
,
Lionel Moisan
,
Frédéric Richard
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