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2017

2017

We consider the problem of estimating a sparse linear regression vector Î²âˆ— under a gaussian noise model, for the purpose of bothâ€¦Â (More)

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2011

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2011

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2010

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2010

We consider a finite mixture of regressions (FMR) model for highdimensional inhomogeneous data where the number of covariates mayâ€¦Â (More)

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2008

2008

and Î»Ì‚ := Î»Ì‚ âˆˆ Argmin Î»âˆˆÎ›Ì‚Îµ â€–Î»â€–l1 . In the case where fâˆ— := fÎ»âˆ— , Î» âˆ— âˆˆ R , Candes and Tao [Ann. Statist. 35 (2007) 2313â€“2351â€¦Â (More)

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2008

2008

- L. Cavalier
- 2008

We explain some basic theoretical issues regarding nonparametric statistics applied to inverse problems. Simple examples are usedâ€¦Â (More)

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2007

Highly Cited

2007

We exhibit an approximate equivalence between the Lasso es-timator and Dantzig selector. For both methods we derive parallelâ€¦Â (More)

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2006

2006

Estimation methods for the LÃ©vy density of a LÃ©vy process are developed under mild qualitative assumptions. A classical modelâ€¦Â (More)

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2001

Highly Cited

2001

- Antoniadis, X J Fan
- 2001

In this paper, we introduce nonlinear regularized wavelet estimators for estimating nonparametric regression functions whenâ€¦Â (More)

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2000

Highly Cited

2000

We consider a sequence space model of statistical linear inverse problems where we need to estimate a function f from indirectâ€¦Â (More)

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1999

Highly Cited

1999

In this paper, we introduce nonlinear regularized wavelet estimators for estimating nonparametric regression functions whenâ€¦Â (More)

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