EnhancedBayesianNetworks.jl

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EnhancedBayesianNetworks.jl ​

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A Julia package for building, reducing, and querying enhanced Bayesian networks — Bayesian networks extended with the continuous and functional nodes of structural reliability analysis, and with imprecision carried consistently from the inputs through to the inference result.

Features ​

Current functionality includes:

  • Node types

    • Discrete and continuous nodes, with conditional probability tables or distributions known a priori

    • Discrete and continuous functional nodes, whose tables are derived from the parents through UncertaintyQuantification.jl models

    • Imprecision at credal and simulation level — interval probabilities and probability boxes

  • Network types

    • Bayesian networks

    • Credal networks (imprecise)

    • Enhanced Bayesian networks — discrete, continuous, and functional nodes side by side

  • Reduction & reliability analysis

    • Discretization of continuous nodes

    • Evaluation of functional nodes as structural reliability problems (Monte Carlo, Subset Simulation, Line Sampling, …)

    • Imprecise reliability by Double Loop and Random Slicing

    • Precise inputs reduce to a Bayesian network, imprecise inputs to a credal network

  • Inference

    • Exact inference by variable elimination

    • Credal inference with lower/upper posterior bounds

  • Parameter learning

    • Maximum likelihood estimation from complete data

    • Expectation–Maximization for data with missing entries

  • Visualization

    • Layered, top-down network plots that encode each node's kind, precision, and discretization

Installation ​

EnhancedBayesianNetworks.jl is not yet registered. Install the latest version directly from GitHub through the Julia package manager:

julia
julia> ]add https://github.com/JuliaUQ/EnhancedBayesianNetworks.jl
julia> using EnhancedBayesianNetworks

New here? Start with the Introduction for the concepts, or jump to Getting Started to run your first model.

  • UncertaintyQuantification.jl: the structural-reliability and uncertainty-propagation backbone that EnhancedBayesianNetworks.jl builds on — its models, inputs, and simulation methods evaluate every functional node.