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STOC
2007
ACM
133views Algorithms» more  STOC 2007»
16 years 4 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
FOCS
2003
IEEE
15 years 9 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
EJC
2006
15 years 4 months ago
Tracing a single user
Let g(n, r) be the maximum possible cardinality of a family F of subsets of {1, 2, . . . , n} so that given a union of at most r members of F, one can identify at least one of the...
Noga Alon, Vera Asodi
COLT
1999
Springer
15 years 8 months ago
Regret Bounds for Prediction Problems
We present a unified framework for reasoning about worst-case regret bounds for learning algorithms. This framework is based on the theory of duality of convex functions. It brin...
Geoffrey J. Gordon
FSTTCS
2007
Springer
15 years 10 months ago
Probabilistic Analysis of the Degree Bounded Minimum Spanning Tree Problem
In the b-degree constrained Euclidean minimum spanning tree problem (bMST) we are given n points in [0;1]d and a degree constraint b  2. The aim is to nd a minimum weight spannin...
Anand Srivastav, Sören Werth