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SIAMJO
2008
104views more  SIAMJO 2008»
13 years 7 months ago
A Minimax Theorem with Applications to Machine Learning, Signal Processing, and Finance
This paper concerns a fractional function of the form xT a/ xT Bx, where B is positive definite. We consider the game of choosing x from a convex set, to maximize the function, an...
Seung-Jean Kim, Stephen P. Boyd
APAL
2005
154views more  APAL 2005»
13 years 7 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema
APAL
1998
71views more  APAL 1998»
13 years 7 months ago
Splitting Theorems and the Jump Operator
We investigate the relationship of (jumps of) the degrees of splittings of a computably enumerable set and the degree of the set. We prove that there is a high computably enumerab...
Rodney G. Downey, Richard A. Shore
TIT
2002
87views more  TIT 2002»
13 years 7 months ago
Coding theorems for turbo code ensembles
This paper is devoted to a Shannon-theoretic study of turbo codes. We prove that ensembles of parallel and serial turbo codes are "good" in the following sense. For a tur...
Hui Jin, Robert J. McEliece
DIS
2007
Springer
14 years 1 months ago
Computational Discovery in Pure Mathematics
Abstract. We discuss what constitutes knowledge in pure mathematics and how new advances are made and communicated. We describe the impact of computer algebra systems, automated th...
Simon Colton