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- W2078261608 abstract "The n-point correlation functions (npcf) are powerful spatial statistics capable of fully characterizing any set of multidimensional points. These functions are critical in key data analyses in astronomy and materials science, among other fields, for example to test whether two point sets come from the same distribution and to validate physical models and theories. For example, the npcf has been used to study the phenomenon of dark energy, considered one of the major breakthroughs in recent scientific discoveries. Unfortunately, directly estimating the continuous npcf at a single value requires O(Nn) time for $N$ points, and n may be 2, 3, 4 or even higher, depending on the sensitivity required. In order to draw useful conclusions about real scientific problems, we must repeat this expensive computation both for many different scales in order to derive a smooth estimate and over many different subsamples of our data in order to bound the variance." @default.
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- W2078261608 date "2012-08-12" @default.
- W2078261608 modified "2023-10-05" @default.
- W2078261608 title "Fast algorithms for comprehensive n-point correlation estimates" @default.
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- W2078261608 doi "https://doi.org/10.1145/2339530.2339761" @default.
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