A. Nemirovski

most citedNonparametric estimation by convex programming

19 citations · 23 across the 3 of their papers we have counts for

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math.ST2009★ 19 cited

Nonparametric estimation by convex programming

Anatoli B. Juditsky, Arkadi S. Nemirovski

The problem we concentrate on is as follows: given (1) a convex compact set $X$ in $R^{n}$ , an affine mapping $x \mapsto A (x)$ , a parametric family ${p_{μ} (\cdot)}$ of prob…

math.ST2009★ 4 cited

Nonparametric denoising Signals of Unknown Local Structure, II: Nonparametric Regression Estimation

Anatoli Iouditski, Arkadii S. Nemirovski

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the ca…

math.ST2008

Nonparametric Denoising of Signals with Unknown Local Structure, I: Oracle Inequalities

Anatoli Juditsky, Arkadii S. Nemirovski

We consider the problem of pointwise estimation of multi-dimensional signals $s$ , from noisy observations $(y_{τ})$ on the regular grid $\bZd$. Our focus is on the adaptive estimatio…