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We address the problem of one dimensional segment detection and estimation, in a regression setup.
ϵ \epsilon -entropy of convex sets and functions
E. M. Bronshtein · 1976
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Statistical Estimation: Asymptotic Theory
I. A. Ibragimov and R. Z. Khasminskii · 1984
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Asymptotically minimax image reconstruction problems. in topics in nonparametric estimation
A. P. Korostelev and A. B. Tsybakov · 1992
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Minimax Theory of Image Reconstruction
A. P. Korostelev and A. B. Tsybakov · 1993
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Regression shrinkage and selection via the lasso
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Locally adaptive regression splines
E. Mammen and S. van de Geer · 1997
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Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point
O. V. Lepski and A. B. Tsybakov · 2000
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Detecting multiple change-points in the mean of gaussian process by model selection
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On minimax estimation of a discontinuous signal (translation of a paper in russian, published in 1986)
A. P. Korostelev · 2006
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Aggregation for gaussian regression
F. Bunea, A. B. Tsybakov, and M. H. Wegkamp · 2007
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Multiscale change-point inference
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Consistencies and rates of convergence of jump-penalized least squares estimators
L. Boysen, A. Kempe, V. Liebscher, A. Munk, and O. Wittich · 2009
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Introduction to nonparametric estimation
A.B. Tsybakov · 2009
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Testing for change points in time series
X. Shao and X. Zhang · 2010
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Adaptive estimation of convex polytopes and convex sets from noisy data
V.-E. Brunel · 2013
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Detection with the scan and the average likelihood ratio
H. P. Chan and G. Walther · 2013
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