Bayesian inference of structural brain networks with region-specific Dirichlet parametrisation
نویسنده
چکیده
In this paper we present an extension to a Bayesian framework for inference of structural brain networks. This framework provides a generative model that explicitely describes how structural brain networks lead to observed streamline distributions. Our extension consists of adding a hyperprior on the latent Dirichlet variables, such that we can capture global and region-specific behaviour within the streamline distributions. We apply these models on both simulated and empirical data. We show that the added flexibility of region-specific parametrisation is not needed for inference of the underlying structure of a brain network, and that the global model with less parameters is still sufficiently flexible to represent data even when generated from a model with region-specific Dirichlet parameters.
منابع مشابه
A Surface Water Evaporation Estimation Model Using Bayesian Belief Networks with an Application to the Persian Gulf
Evaporation phenomena is a effective climate component on water resources management and has special importance in agriculture. In this paper, Bayesian belief networks (BBNs) as a non-linear modeling technique provide an evaporation estimation method under uncertainty. As a case study, we estimated the surface water evaporation of the Persian Gulf and worked with a dataset of observations ...
متن کاملA Surface Water Evaporation Estimation Model Using Bayesian Belief Networks with an Application to the Persian Gulf
Evaporation phenomena is a effective climate component on water resources management and has special importance in agriculture. In this paper, Bayesian belief networks (BBNs) as a non-linear modeling technique provide an evaporation estimation method under uncertainty. As a case study, we estimated the surface water evaporation of the Persian Gulf and worked with a dataset of observations ...
متن کاملAn Introduction to Inference and Learning in Bayesian Networks
Bayesian networks (BNs) are modern tools for modeling phenomena in dynamic and static systems and are used in different subjects such as disease diagnosis, weather forecasting, decision making and clustering. A BN is a graphical-probabilistic model which represents causal relations among random variables and consists of a directed acyclic graph and a set of conditional probabilities. Structure...
متن کاملBayesian Networks on Dirichlet Distributed Vectors
Exact Bayesian network inference exists for Gaussian and multinomial distributions. For other kinds of distributions, approximations or restrictions on the kind of inference done are needed. In this paper we present generalized networks of Dirichlet distributions, and show how, using the two-parameter Poisson-Dirichlet distribution and Gibbs sampling, one can do approximate inference over them....
متن کاملParameter estimation for text analysis
This primer presents parameter estimation methods common in Bayesian statistics and apply them to discrete probability distributions, which commonly occur in text modeling. Presentation starts with maximum likelihood and a posteriori estimation approaches and the full Bayesian approach. This presentation is completed by an overview of Bayesian networks, a graphical language to express probabili...
متن کامل