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π
The Cartographer
An Adaptive Grid Algorithm for Computing the Homology Group of Semialgebraic Set
March 04, 2019 Β· Declared Dead Β· + Add venue
"No code URL or promise found in abstract"
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Authors
Han Jiadong
arXiv ID
1903.02388
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CG,
math.GT,
math.OC
Citations
2
Last Checked
4 months ago
Abstract
Looking for an efficient algorithm for the computation of the homology groups of an algebraic set or even a semi-algebraic set is an important problem in the effective real algebraic geometry. Recently, Peter Burgisser, Felipe Cucker and Pierre Lairez wrote a paper [1], which made a step forward by giving an algorithm of weak exponential time. However, the algorithm is not not practical. In my thesis, I will introduce my improvement of this algorithm using an adaptive grid algorithm on the unit sphere.
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