Definition
Expectation Propagation (EP) approximates intractable integrals by iteratively refining Gaussian approximations to the true posterior distribution. It minimizes the Kullback-Leibler divergence between the approximate and true distributions by matching moments. EP is widely used in Bayesian machine learning for tasks like classification and regression where exact inference is computationally prohibitive, offering a balance between accuracy and efficiency.
Summary
An approximate inference algorithm used to estimate posterior distributions in complex probabilistic graphical models.
Key Concepts
- Posterior Approximation
- Moment Matching
- Kullback-Leibler Divergence
- Gaussian Processes
Use Cases
- Sparse Gaussian Processes
- Bayesian logistic regression
- Probabilistic matrix factorization