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ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
14 years 7 days ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
CPAIOR
2008
Springer
13 years 10 months ago
Integrating Symmetry, Dominance, and Bound-and-Bound in a Multiple Knapsack Solver
Abstract. The multiple knapsack problem (MKP) is a classical combinatorial optimization problem. A recent algorithm for some classes of the MKP is bin-completion, a bin-oriented, b...
Alex S. Fukunaga
MOR
2010
91views more  MOR 2010»
13 years 7 months ago
Bounding Probability of Small Deviation: A Fourth Moment Approach
In this paper we study the problem of bounding the value of the probability distribution function of a random variable X at E[X] + a where a is a small quantity in comparison with...
Simai He, Jiawei Zhang, Shuzhong Zhang
NIPS
2003
13 years 9 months ago
Online Learning of Non-stationary Sequences
We consider an online learning scenario in which the learner can make predictions on the basis of a fixed set of experts. We derive upper and lower relative loss bounds for a cla...
Claire Monteleoni, Tommi Jaakkola
BMCBI
2007
153views more  BMCBI 2007»
13 years 8 months ago
Lower bounds on multiple sequence alignment using exact 3-way alignment
Background: Multiple sequence alignment is fundamental. Exponential growth in computation time appears to be inevitable when an optimal alignment is required for many sequences. E...
Charles J. Colbourn, Sudhir Kumar