Ehemalige Mitarbeiter

Dr. Pierre Lairez

Anschrift
INRIA Saclay Île-de-France, Bât. Alan Turing
1 rue Honoré d'Estienne d'Orves
Campus de l'École polytechnique
91120 Palaiseau
France

Persönliche Homepage
pierre.lairez.fr

Computing the homology of basic semialgebraic sets in weak exponential time
Zitatschlüssel	CBL-Computing-The-Homology-Of-Basic-Semialgebraic-Sets-In-Weak-Exponential-Time
Autor	Felipe Cucker and Peter Bürgisser and Pierre Lairez
Jahr	2019
DOI	10.1145/3275242
Journal	Journal of the Association for Computing Machinery
Jahrgang	66
Nummer	1
Zusammenfassung	We describe and analyze an algorithm for computing the homology (Betti numbers and torsion coefficients) of basic semialgebraic sets which works in weak exponential time. That is, out of a set of exponentially small measure in the space of data the cost of the algorithm is exponential in the size of the data. All algorithms previously proposed for this problem have a complexity which is doubly exponential (and this is so for almost all data).