Andrey Akinshin

activity

20152024

most citedTrimmed Harrell-Davis quantile estimator based on the highest density interval of the given width

12 citations · 22 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.CA2017

Accuracy of reconstruction of spike-trains with two near-colliding nodes

Andrey Akinshin, Gil Goldman, Vladimir Golubyatnikov +1

We consider a signal reconstruction problem for signals $F$ of the form $F (x) = \sum_{j = 1}^{d} a_{j} δ (x - x_{j}),$ from their moments $m_{k} (F) = \int x^{k} F (x) d x .$ We assume $m_k…

math.CA2017

Geometry of error amplification in solving Prony system with near-colliding nodes

Andrey Akinshin, Gil Goldman, Yosef Yomdin

We consider a reconstruction problem for ``spike-train'' signals $F$ of an a priori known form $F (x) = \sum_{j = 1}^{d} a_{j} δ (x - x_{j}),$ from their moments $m_k(F)=\int x^kF…

math.CA2015★ 5 cited

Accuracy of spike-train Fourier reconstruction for colliding nodes

Andrey Akinshin, Dmitry Batenkov, Yosef Yomdin

We consider Fourier reconstruction problem for signals F, which are linear combinations of shifted delta-functions. We assume the Fourier transform of F to be known on the frequenc…