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arXiv · 1707.07625

Restoring a smooth function from its noisy integrals

Olga Goulko·Nikolay Prokof'ev·Boris Svistunov
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Abstract

Numerical (and experimental) data analysis often requires the restoration of a smooth function from a set of sampled integrals over finite bins. We present the bin hierarchy method that efficiently computes the maximally smooth function from the sampled integrals using essentially all the information contained in the data. We perform extensive tests with different classes of functions and levels of data quality, including Monte Carlo data suffering from a severe sign problem and physical data for the Green's function of the Fröhlich polaron.

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Olga Goulko, Nikolay Prokof'ev, Boris Svistunov. 2018-05-11. Restoring a smooth function from its noisy integrals. https://doi.org/10.1103/physreve.97.053305

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