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CIKM
2005
Springer
14 years 1 months ago
Towards estimating the number of distinct value combinations for a set of attributes
Accurately and efficiently estimating the number of distinct values for some attribute(s) or sets of attributes in a data set is of critical importance to many database operation...
Xiaohui Yu, Calisto Zuzarte, Kenneth C. Sevcik
CORR
2008
Springer
158views Education» more  CORR 2008»
13 years 7 months ago
Improved Smoothed Analysis of the k-Means Method
The k-means method is a widely used clustering algorithm. One of its distinguished features is its speed in practice. Its worst-case running-time, however, is exponential, leaving...
Bodo Manthey, Heiko Röglin
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
14 years 2 months ago
Piercing Translates and Homothets of a Convex Body
According to a classical result of Gr¨unbaum, the transversal number τ(F) of any family F of pairwise-intersecting translates or homothets of a convex body C in Rd is bounded by...
Adrian Dumitrescu, Minghui Jiang
SODA
2000
ACM
85views Algorithms» more  SODA 2000»
13 years 8 months ago
Improved bounds on the sample complexity of learning
We present a new general upper bound on the number of examples required to estimate all of the expectations of a set of random variables uniformly well. The quality of the estimat...
Yi Li, Philip M. Long, Aravind Srinivasan
IPCO
2007
114views Optimization» more  IPCO 2007»
13 years 9 months ago
Distinct Triangle Areas in a Planar Point Set
Erd˝os, Purdy, and Straus conjectured that the number of distinct (nonzero) areas of the triangles determined by n noncollinear points in the plane is at least n−1 2 , which is...
Adrian Dumitrescu, Csaba D. Tóth