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» The Zeta Function of a Hypergraph
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JMLR
2010
125views more  JMLR 2010»
13 years 2 months ago
Stochastic Complexity and Generalization Error of a Restricted Boltzmann Machine in Bayesian Estimation
In this paper, we consider the asymptotic form of the generalization error for the restricted Boltzmann machine in Bayesian estimation. It has been shown that obtaining the maximu...
Miki Aoyagi
MICS
2010
102views more  MICS 2010»
13 years 5 months ago
Computing Zeta Functions of Superelliptic Curves in Larger Characteristic
Abstract. Following Gaudry and G¨urel who extended Kedlaya’s point-counting algorithm to superelliptic curves, we introduce Harvey’s running time improvements for large enough...
Moritz Minzlaff
CORR
2010
Springer
142views Education» more  CORR 2010»
13 years 7 months ago
Graph Zeta Function in the Bethe Free Energy and Loopy Belief Propagation
We propose a new approach to the analysis of Loopy Belief Propagation (LBP) by establishing a formula that connects the Hessian of the Bethe free energy with the edge zeta functio...
Yusuke Watanabe, Kenji Fukumizu
ISSAC
2001
Springer
141views Mathematics» more  ISSAC 2001»
13 years 12 months ago
On the Barnes function
The multiple Barnes function, defined as a generalization of the Euler gamma function, is used in many applications of pure and applied mathematics and theoretical physics. This pa...
Victor Adamchik
SIAMCOMP
2000
109views more  SIAMCOMP 2000»
13 years 7 months ago
Dual-Bounded Generating Problems: Partial and Multiple Transversals of a Hypergraph
Abstract. We consider two natural generalizations of the notion of transversal to a finite hypergraph, arising in data-mining and machine learning, the so called multiple and parti...
Endre Boros, Vladimir Gurvich, Leonid Khachiyan, K...