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COLT
1999
Springer
13 years 11 months ago
Covering Numbers for Support Vector Machines
—Support vector (SV) machines are linear classifiers that use the maximum margin hyperplane in a feature space defined by a kernel function. Until recently, the only bounds on th...
Ying Guo, Peter L. Bartlett, John Shawe-Taylor, Ro...
GD
2007
Springer
14 years 1 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth
JAL
2006
89views more  JAL 2006»
13 years 7 months ago
Improved bounds for the unsplittable flow problem
In this paper we consider the unsplittable flow problem (UFP): given a directed or undirected network G = (V, E) with edge capacities and a set of terminal pairs (or requests) wit...
Petr Kolman, Christian Scheideler
COMPGEOM
1996
ACM
13 years 11 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson
STACS
2001
Springer
13 years 11 months ago
New Bounds on the OBDD-Size of Integer Multiplication via Universal Hashing
Abstract. Ordered binary decision diagrams (OBDDs) nowadays belong to the most common representation types for Boolean functions. Although they allow important operations such as s...
Philipp Woelfel