Exact probabilistic inference for discrete Bayesian networks utilizing factor products, evidence reduction, and variable elimination.
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graph TD
A[Factor Pool phi_1, phi_2, ... phi_k] --> B[Reduce Observed Evidence]
B --> C[Select Variable to Eliminate X_i]
C --> D[Multiply Factors Containing X_i]
D --> E[Sum out X_i: sum_X_i phi_prod]
E --> F{Remaining Variables?}
F -->|Yes| C
F -->|No: Target Left| G[Normalize to Posterior Distribution]
- General discrete multidimensional factor operations.
- Exact posterior computation without Monte Carlo sampling variance.
- Pure Python standard library.