103 citations · 384 across the 41 of their papers we have counts for
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Adaptive Denoising of Signals with Local Shift-Invariant Structure
Zaid Harchaoui, Anatoli Juditsky, Arkadi Nemirovski +1
We discuss the problem of adaptive discrete-time signal denoising in the situation where the signal to be recovered admits a "linear oracle" -- an unknown linear estimate that take…
Near-Optimal Recovery of Linear and N-Convex Functions on Unions of Convex Sets
Anatoli Juditsky, Arkadi Nemirovski
In this paper we build provably near-optimal, in the minimax sense, estimates of linear forms and, more generally, "-convex functionals" (the simplest example being the maximum…
On Polyhedral Estimation of Signals via Indirect Observations
Anatoli Juditsky, Arkadi Nemirovski
We consider the problem of recovering linear image of unknown signal belonging to a given convex compact signal set from noisy observation of another linear image of the signal. We…