A funny way to use an MRF
• The lateral connections form an MRF.
• The MRF is used during learning and generation.
• The MRF is not used for inference.
– This is  a novel idea so vision researchers don’t like it.
• The MRF enforces constraints. During inference,
constraints do not need to be enforced because the data
obeys them.
– The constraints only need to be enforced during
generation.
• Unobserved hidden units cannot enforce constraints.
– This requires lateral connections or observed
descendants.