Leitung

Prof. Dr. Peter Bürgisser

Anschrift
Technische Universität Berlin
Institut für Mathematik
Sekretariat MA 3-2
Straße des 17. Juni 136
10623 Berlin

Büro
Raum MA 317 (3. OG)
Institut für Mathematik

Sekretariat
Beate Nießen
Raum MA 318
Tel.: +49 (0)30 314 - 25771

eMail
pbuerg@math.tu-berlin.de
contact form

Telefon
+49 (0)30 314 - 75902

Faxgerät
+49 (0)30 314 - 25839

Sprechstunde
Während der Vorlesungszeit: Do, 15-16 Uhr.
Während der vorlesungsfreien Zeit: nach Vereinbarung.

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).