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» Bounds on marginal probability distributions
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UAI
2004
13 years 6 months ago
Variational Chernoff Bounds for Graphical Models
Recent research has made significant progress on the problem of bounding log partition functions for exponential family graphical models. Such bounds have associated dual paramete...
Pradeep D. Ravikumar, John D. Lafferty
ECSQARU
1995
Springer
13 years 9 months ago
Parametric Structure of Probabilities in Bayesian Networks
The paper presents a method for uncertainty propagation in Bayesian networks in symbolic, as opposed to numeric, form. The algebraic structure of probabilities is characterized. Th...
Enrique Castillo, José Manuel Gutiér...
CORR
2011
Springer
144views Education» more  CORR 2011»
13 years 10 days ago
On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function
— Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we ...
Mehdi Molkaraie, Payam Pakzad
ICML
2003
IEEE
14 years 6 months ago
Margin Distribution and Learning
Recent theoretical results have shown that improved bounds on generalization error of classifiers can be obtained by explicitly taking the observed margin distribution of the trai...
Ashutosh Garg, Dan Roth
UAI
2004
13 years 6 months ago
A New Characterization of Probabilities in Bayesian Networks
We characterize probabilities in Bayesian networks in terms of algebraic expressions called quasi-probabilities. These are arrived at by casting Bayesian networks as noisy AND-OR-...
Lenhart K. Schubert