Modeling Probabilistic Networks of Discrete and Continuous Variables

Causal Probabilistic Networks with Both Discrete and Continuous Variables D Causal Probabilistic Networks with Both Discrete and Continuous Variables

An extension of the expert system shell HUGIN to include continuous variables, in the form of linear additive normally distributed variables, is presented. The theoretical foundation of the method was developed by Lauritzen (1992), whereas this report primarily focus on implementation aspects. The approach has several advantages over purely discrete systems: It enables a more natural model of t...

Causal Probabilistic Networks with Both Discrete and Continuous Variables

Probabilistic Power Flow Method Considering Continuous and Discrete Variables

This paper proposes a probabilistic power flow (PPF) method considering continuous and discrete variables (continuous and discrete power flow, CDPF) for power systems. The proposed method—based on the cumulant method (CM) and multiple deterministic power flow (MDPF) calculations—can deal with continuous variables such as wind power generation (WPG) and loads, and discrete variables such as fuel...

Modeling Genetic Regulatory Networks: Continuous or Discrete?

Selecting an appropriate mathematical model to describe the dynamical behavior of a genetic regulatory network plays an important part in discovering gene regulatory mechanisms. Whereas fine-scale models can in principle provide a very accurate description of the real genetic regulatory system, one must be aware of the availability and quality of the data used to infer such models. Consequently...

Modeling Conditional Distributions of Continuous Variables in Bayesian Networks

The MTE (mixture of truncated exponentials) model was introduced as a general solution to the problem of specifying conditional distributions for continuous variables in Bayesian networks, especially as an alternative to discretization. In this paper we compare the behavior of two different approaches for constructing conditional MTE models in an example taken from Finance, which is a domain we...