TU Berlin

Fachgebiet Algorithmische AlgebraDr. Stefan Mengel

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Ehemalige Mitarbeiter

Dr. Stefan Mengel


CRIL-CNRS/Université d'Artois
Faculté des Sciences Jean Perrin
rue Jean Souvraz, S.P. 18
F-62307 LENS Cedex
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Publikationen in der Arbeitsgruppe

The arithmetic complexity of tensor contractions
Zitatschlüssel CDM-The-Arithmetic-Complexity-Of-Tensor-Contractions
Autor Florent Capelli and Arnaud Durand and Stefan Mengel
Buchtitel Proceedings Symposium on Theoretical Aspects of Computer Science (STACS) 2013
Jahr 2013
Zusammenfassung We investigate the algebraic complexity of tensor calulus. We consider a generalization of iterated matrix product to tensors and show that the resulting formulas exactly capture VP, the class of polynomial families efficiently computable by arithmetic circuits. This gives a natural and robust characterization of this complexity class that despite its naturalness is not very well understood so far.
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