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GLOBECOM
2008
IEEE
14 years 2 months ago
Tight Bounds of the Generalized Marcum Q-Function Based on Log-Concavity
—In this paper, we manage to prove the log-concavity of the generalized Marcum Q-function Qν (a, b) with respect to its order ν on [1, ∞). The proof relies on a powerful math...
Yin Sun, Shidong Zhou
COLT
2000
Springer
14 years 25 days ago
Computable Shell Decomposition Bounds
Haussler, Kearns, Seung and Tishby introduced the notion of a shell decomposition of the union bound as a means of understanding certain empirical phenomena in learning curves suc...
John Langford, David A. McAllester
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
14 years 20 hour ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
MP
2006
88views more  MP 2006»
13 years 8 months ago
Bounds on linear PDEs via semidefinite optimization
Using recent progress on moment problems, and their connections with semidefinite optimization, we present in this paper a new methodology based on semidefinite optimization, to ob...
Dimitris Bertsimas, Constantine Caramanis
MFCS
2009
Springer
14 years 3 months ago
Bounds on Non-surjective Cellular Automata
Abstract. Cellular automata (CA) are discrete, homogeneous dynamical systems. Non-surjective one-dimensional CA have nite words with no preimage (called orphans), pairs of dieren...
Jarkko Kari, Pascal Vanier, Thomas Zeume