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STOC
2004
ACM
177views Algorithms» more  STOC 2004»
15 years 9 months ago
Lower bounds for linear degeneracy testing
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
Nir Ailon, Bernard Chazelle
STOC
2004
ACM
145views Algorithms» more  STOC 2004»
15 years 9 months ago
Using mixture models for collaborative filtering
A collaborative filtering system at an e-commerce site or similar service uses data about aggregate user behavior to make recommendations tailored to specific user interests. We d...
Jon M. Kleinberg, Mark Sandler
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
15 years 9 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
STOC
2004
ACM
153views Algorithms» more  STOC 2004»
15 years 9 months ago
Quantum and classical query complexities of local search are polynomially related
Let f be an integer valued function on a finite set V . We call an undirected graph G(V, E) a neighborhood structure for f. The problem of finding a local minimum for f can be phr...
Miklos Santha, Mario Szegedy
STOC
2004
ACM
89views Algorithms» more  STOC 2004»
15 years 9 months ago
Hit-and-run from a corner
We show that the hit-and-run random walk mixes rapidly starting from any interior point of a convex body. This is the first random walk known to have this property. In contrast, t...
László Lovász, Santosh Vempal...
Algorithms
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