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We consider the problem of reconstruction of a non-linear finite-parametric model M = M p (x), with p = (p 1 ,. .. , p r) a set of parameters, from a set of measurements µ j (M). In this paper µ j (M) are always the moments m j (M) = x j M p (x)dx. This problem is a central one in Signal Processing, Statistics, and in many other applications. We concentrate… (More)

- Boris Ettinger, Niv Sarig, Yosef Yomdin
- ArXiv
- 2007

We address in this paper the following two closely related problems: 1. How to represent functions with singularities (up to a prescribed accuracy) in a compact way? 2. How to reconstruct such functions from a small number of measurements? The stress is on a comparison of linear and non-linear approaches. As a model case we use piecewise-constant functions… (More)

- Dima Batenkov, Niv Sarig, Yosef Yomdin
- 2009

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