Lower bounds on arithmetic circuits via partial derivatives

Noam Nisan*, Avi Wigderson

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

16 Scopus citations

Abstract

In this paper we describe a new technique for obtaining lower bounds on restricted classes of non-monotone arithmetic circuits. The heart of this technique is a complexity measure for multivariate polynomials, based on the linear span of their partial derivatives. We use the technique to obtain new lower bounds for computing symmetric polynomials and iterated matrix products.

Original languageEnglish
Pages (from-to)16-25
Number of pages10
JournalAnnual Symposium on Foundations of Computer Science - Proceedings
StatePublished - 1995
EventProceedings of the 1995 IEEE 36th Annual Symposium on Foundations of Computer Science - Milwaukee, WI, USA
Duration: 23 Oct 199525 Oct 1995

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