Laplace Method, Approximate Bayesian Inference
Please answer the following questions and provide references for your answers.
Question 1
What is approximate Bayesian inference and give at least three examples of approximate inferential frameworks.
Question 2
Explain what is a Latent Gaussian Model (LGM).
Question 3
Explain what is a Gaussian Markov Random field (GMRF) and give an example thereof.
Question 4
Explain the Laplace method as an approximate inference tool.