17 citations · 48 across the 20 of their papers we have counts for
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math.ST2014★ 4 cited
Classification with the nearest neighbor rule in general finite dimensional spaces: necessary and sufficient conditions
Sébastien Gadat, Thierry Klein, Clément Marteau
Given an -sample of random vectors whose joint law is unknown, the long-standing problem of supervised classification aims to \textit{optimally} pr…
math.ST2014★ 7 cited
A unified treatment for non-asymptotic and asymptotic approaches to minimax signal detection
Clement Marteau, Theofanis Sapatinas
We are concerned with minimax signal detection. In this setting, we discuss non-asymptotic and asymptotic approaches through a unified treatment. In particular, we consider a Gauss…
math.ST2014
Signal detection for inverse problems in a multidimensional framework
Yuri I. Ingster, Béatrice Laurent, Clément Marteau
This paper is devoted to multi-dimensional inverse problems. In this setting, we address a goodness-of-fit testing problem. We investigate the separation rates associated to differ…