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The Cartographer
Summation Problem Revisited -- More Robust Computation
November 08, 2022 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Vaclav Skala
arXiv ID
2211.04402
Category
cs.DS: Data Structures & Algorithms
Cross-listed
math.NA
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
Numerical data processing is a key task across different fields of computer technology use. However, even simple summation of values is not precise due to the floating point representation use. This paper presents a practical algorithm for summation of values convenient for medium and large data sets. The proposed algorithm is simple, easy to implement. Its computational complexity is O(N) in the contrary of the Exact Sign Summation Algorithm (ESSA) approach with O(N^2) run-time complexity. The proposed algorithm is especially convenient for cases when exponent data differ significantly and many small values are summed with higher values
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