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SODA
2010
ACM
171views Algorithms» more  SODA 2010»
14 years 7 months ago
Coresets and Sketches for High Dimensional Subspace Approximation Problems
We consider the problem of approximating a set P of n points in Rd by a j-dimensional subspace under the p measure, in which we wish to minimize the sum of p distances from each p...
Dan Feldman, Morteza Monemizadeh, Christian Sohler...
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 7 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
CORR
2011
Springer
165views Education» more  CORR 2011»
13 years 4 months ago
Causal Dependence Tree Approximations of Joint Distributions for Multiple Random Processes
—We investigate approximating joint distributions of random processes with causal dependence tree distributions. Such distributions are particularly useful in providing parsimoni...
Christopher J. Quinn, Todd P. Coleman, Negar Kiyav...
SODA
2001
ACM
157views Algorithms» more  SODA 2001»
13 years 11 months ago
New approaches to covering and packing problems
Covering and packing integer programs model a large family of combinatorial optimization problems. The current-best approximation algorithms for these are an instance of the basic...
Aravind Srinivasan
ENTCS
2006
118views more  ENTCS 2006»
13 years 9 months ago
Domain Theoretic Solutions of Initial Value Problems for Unbounded Vector Fields
This paper extends the domain theoretic method for solving initial value problems, described in [8], to unbounded vector fields. Based on a sequence of approximations of the vecto...
Abbas Edalat, Dirk Pattinson