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» A Lower Bound for Primality
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COMPGEOM
2010
ACM
15 years 11 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard
KDID
2004
134views Database» more  KDID 2004»
15 years 7 months ago
Theoretical Bounds on the Size of Condensed Representations
Abstract. Recent studies demonstrate the usefulness of condensed representations as a semantic compression technique for the frequent itemsets. Especially in inductive databases, c...
Nele Dexters, Toon Calders
TIT
2008
90views more  TIT 2008»
15 years 6 months ago
An Improved Sphere-Packing Bound for Finite-Length Codes Over Symmetric Memoryless Channels
This paper derives an improved sphere-packing (ISP) bound for finite-length error-correcting codes whose transmission takes place over symmetric memoryless channels, and the codes...
Gil Wiechman, Igal Sason
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
16 years 6 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
ICDT
2009
ACM
148views Database» more  ICDT 2009»
16 years 7 months ago
Tight results for clustering and summarizing data streams
In this paper we investigate algorithms and lower bounds for summarization problems over a single pass data stream. In particular we focus on histogram construction and K-center c...
Sudipto Guha