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ISIPTA
1999
IEEE
13 years 9 months ago
Nonlinear Filtering of Convex Sets of Probability Distributions
A solution is provided to the problem of computing a convex set of conditional probability distributions that characterize the state of a nonlinear dynamic system as it evolves in...
John Kenney, Wynn C. Stirling
ISIPTA
2003
IEEE
145views Mathematics» more  ISIPTA 2003»
13 years 10 months ago
An Extended Set-valued Kalman Filter
Set-valued estimation offers a way to account for imprecise knowledge of the prior distribution of a Bayesian statistical inference problem. The set-valued Kalman filter, which p...
Darryl Morrell, Wynn C. Stirling
UAI
1997
13 years 6 months ago
Robustness Analysis of Bayesian Networks with Local Convex Sets of Distributions
Robust Bayesian inference is the calculation of posterior probability bounds given perturbations in a probabilistic model. This paper focuses on perturbations that can be expresse...
Fabio Gagliardi Cozman
NIPS
2001
13 years 6 months ago
Minimax Probability Machine
When constructing a classifier, the probability of correct classification of future data points should be maximized. In the current paper this desideratum is translated in a very ...
Gert R. G. Lanckriet, Laurent El Ghaoui, Chiranjib...
ISIPTA
2005
IEEE
115views Mathematics» more  ISIPTA 2005»
13 years 10 months ago
A Protocol for the Elicitation of Imprecise Probabilities
A protocol for the elicitation of imprecise probabilities based on linear programming is applied to the case of two continuous variables. Two medical experts were elicited. The re...
Alane Alves Silva, Fernando Campello de Souza