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TCS
2008
15 years 26 days ago
On the bandwidth of 3-dimensional Hamming graphs
This paper presents strategies for improving the known upper and lower bounds for the bandwidth of Hamming graphs (Kn)d and [0, 1]d. Our labeling strategy lowers the upper bound o...
J. Balogh, Sergei L. Bezrukov, L. H. Harper, &Aacu...
JMLR
2012
13 years 3 months ago
Algorithms for Learning Kernels Based on Centered Alignment
This paper presents new and effective algorithms for learning kernels. In particular, as shown by our empirical results, these algorithms consistently outperform the so-called uni...
Corinna Cortes, Mehryar Mohri, Afshin Rostamizadeh
CORR
2008
Springer
114views Education» more  CORR 2008»
15 years 1 months ago
Multiparty Communication Complexity of Disjointness
We obtain a lower bound of n 1 k+1 22k (k-1)2k-1 on the k-party randomized communication complexity of the Disjointness function in the `Number on the Forehead' model of mul...
Arkadev Chattopadhyay, Anil Ada
FOCS
2003
IEEE
15 years 6 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
ICALP
1999
Springer
15 years 5 months ago
Average-Case Complexity of Shellsort
We demonstrate an ⍀( pn1ϩ1/p) lower bound on the average-case running time (uniform distribution) of p-pass Shellsort. This is the first nontrivial general lower bound for avera...
Tao Jiang, Ming Li, Paul M. B. Vitányi