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Probably faster multiplication of sparse polynomials

Published: August 22, 2025 | arXiv ID: 2508.16164v1

By: Joris van der Hoeven

Potential Business Impact:

Makes math problems with many parts solve faster.

Business Areas:
A/B Testing Data and Analytics

In this paper, we present a probabilistic algorithm to multiply two sparse polynomials almost as efficiently as two dense univariate polynomials with a result of approximately the same size. The algorithm depends on unproven heuristics that will be made precise. Non-heuristic versions that are a constant times slower are also presented.

Country of Origin
🇫🇷 France

Page Count
24 pages

Category
Computer Science:
Symbolic Computation