A. Nemirovski

activity

20082026

most citedOn Verifiable Sufficient Conditions for Sparse Signal Recovery via

ℓ_{1}

Minimization

103 citations · 384 across the 41 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

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★ 16 cited

Verifiable conditions of $ℓ_{1}$ -recovery of sparse signals with sign restrictions

Anatoli Iouditski, Fatma Kilinc Karzan, Arkadii S. Nemirovski

We propose necessary and sufficient conditions for a sensing matrix to be "s-semigood" -- to allow for exact $ℓ_{1}$ -recovery of sparse signals with at most $s$ nonzero entries un…

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…

Nonparametric estimation by convex programming

Verifiable conditions of ℓ1​-recovery of sparse signals with sign restrictions

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

Verifiable conditions of $ℓ_{1}$ -recovery of sparse signals with sign restrictions