17 citations · 48 across the 20 of their papers we have counts for
21 papers · 1 filter
Gaussian Mixture Model with unknown diagonal covariances via continuous sparse regularization
Romane Giard, Yohann de Castro, Clément Marteau
This paper addresses the statistical estimation of Gaussian Mixture Models (GMMs) with unknown diagonal covariances from independent and identically distributed samples. We employ…
Minimax testing in a statistical inverse problem with unknown operator
Clément Marteau, Theofanis Sapatinas
We study minimax testing in a statistical inverse problem when the associated operator is unknown. In particular, we consider observations from an inverse Gaussian regression model…
SuperMix: Sparse Regularization for Mixtures
Yohann de Castro, Sébastien Gadat, Clément Marteau +1
This paper investigates the statistical estimation of a discrete mixing measure 0 involved in a kernel mixture model. Using some recent advances in l1-regularization over the sp…
Maxiset point of view for signal detection in inverse problems
Florent Autin, Marianne Clausel, Jean-Marc Freyermuth +1
This paper extends the successful maxiset paradigm from function estimation to signal detection in inverse problems. In this context, the maxisets do not have the same shape compar…
Optimal functional supervised classification with separation condition
Sébastien Gadat, Sébastien Gerchinovitz, Clément Marteau
We consider the binary supervised classification problem with the Gaussian functional model introduced in [7]. Taking advantage of the Gaussian structure, we design a natural plug-…
Minimax Signal Detection Under Weak Noise Assumptions
Clement Marteau, Theofanis Sapatinas
We consider minimax signal detection in the sequence model. Working with certain ellipsoids in the space of square-summable sequences of real numbers, with a ball of positive radiu…