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ESANN
2004
15 years 6 months ago
Linearization identification and an application to BSS using a SOM
The one-dimensional functional equation g(y(t)) = cg(z(t)) with known functions y and z and constant c is considered. The indeterminacies are calculated, and an algorithm for appro...
Fabian J. Theis, Elmar Wolfgang Lang
STOC
1990
ACM
96views Algorithms» more  STOC 1990»
15 years 9 months ago
Monotone Circuits for Matching Require Linear Depth
We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and non...
Ran Raz, Avi Wigderson
117
Voted
ICALP
2010
Springer
15 years 10 months ago
On the k-Independence Required by Linear Probing and Minwise Independence
We show that linear probing requires 5-independent hash functions for expected constant-time performance, matching an upper bound of [Pagh et al. STOC’07]. For (1 + ε)-approxima...
Mihai Patrascu, Mikkel Thorup
COCO
2001
Springer
135views Algorithms» more  COCO 2001»
15 years 9 months ago
Simple Analysis of Graph Tests for Linearity and PCP
We give a simple analysis of the PCP with low amortized query complexity of Samorodnitsky and Trevisan [16]. The analysis also applies to the linearity testing over finite field...
Johan Håstad, Avi Wigderson
ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
15 years 9 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy