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pro vyhledávání: '"Marteau, Cl��ment"'
We consider a Gaussian sequence model that contains ill-posed inverse problems as special cases. We assume that the associated operator is partially unknown in the sense that its singular functions are known and the corresponding singular values are
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https://explore.openaire.eu/search/publication?articleId=doi_________::2f4f6a5f8fdfbf325466d35920c142fa
Autor:
Marteau, Cl��ment, Math��, Peter
The authors discuss how general regularization schemes, in particular linear regularization schemes and projection schemes, can be used to design tests for signal detection in statistical inverse problems. It is shown that such tests can attain the m
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https://explore.openaire.eu/search/publication?articleId=doi_________::6129505657573e52913a1d4c7d435e90
Autor:
Loustau, S��bastien, Marteau, Cl��ment
The effect of measurement errors in discriminant analysis is investigated. Given observations $Z=X+��$, where $��$ denotes a random noise, the goal is to predict the density of $X$ among two possible candidates $f$ and $g$. We suppose that we
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https://explore.openaire.eu/search/publication?articleId=doi_________::3e99720a9aa7e8404dfed0d3ad0c91e4
This paper considers the problem of adaptive estimation of a non-homogeneous intensity function from the observation of n independent Poisson processes having a common intensity that is randomly shifted for each observed trajectory. We show that esti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adf5d40d4523be28f3fa91b9b539343d
Autor:
Loubes, Jean-Michel, Marteau, Cl��ment
We tackle the problem of estimating a regression function observed in an instrumental regression framework. This model is an inverse problem with unknown operator. We provide a spectral cut-off estimation procedure which enables to derive oracle ineq
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https://explore.openaire.eu/search/publication?articleId=doi_________::8bba4a2695780d92e760897eafde6617
This paper considers the problem of adaptive estimation of a template in a randomly shifted curve model. Using the Fourier transform of the data, we show that this problem can be transformed into a stochastic linear inverse problem. Our aim is to app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47b60dfc34c5472b23af5b8c271b0bb6
Autor:
Marteau, Cl��ment
We are interested in the statistical linear inverse problem $Y=Af+����$, where $A$ denotes a compact operator and $����$ a stochastic noise. In a first time, we investigate the link between some threshold estimators and the risk hull
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https://explore.openaire.eu/search/publication?articleId=doi_________::b2dd5ee86fdb28bba19503df49ddc6b4