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COLT
2001
Springer
15 years 2 months ago
Intrinsic Complexity of Learning Geometrical Concepts from Positive Data
Intrinsic complexity is used to measure the complexity of learning areas limited by broken-straight lines (called open semi-hulls) and intersections of such areas. Any strategy le...
Sanjay Jain, Efim B. Kinber
IPPS
1999
IEEE
15 years 1 months ago
A Parallel Algorithm for Bound-Smoothing
Determining molecular structure from interatomic distances is an important and challenging problem. Given a molecule with n atoms, lower and upper bounds on interatomic distances ...
Kumar Rajan, Narsingh Deo
COCO
2009
Springer
131views Algorithms» more  COCO 2009»
15 years 4 months ago
A Multi-Round Communication Lower Bound for Gap Hamming and Some Consequences
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
Joshua Brody, Amit Chakrabarti
CORR
2010
Springer
104views Education» more  CORR 2010»
14 years 9 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
84
Voted
COCO
2007
Springer
85views Algorithms» more  COCO 2007»
15 years 3 months ago
Norms, XOR Lemmas, and Lower Bounds for GF(2) Polynomials and Multiparty Protocols
This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and GF(2) polynomials. The key is t...
Emanuele Viola, Avi Wigderson