Writing Sentences [1]

1) try ‘there will be’ instead of ‘then’

In homogeneity MRF, if and , there will be even if .

2) in terms of

There are two approaches for specifying an MRF, that in terms of the conditional probabilities and that in terms of the joint probability .

3) specify

note that in the second term on the right-hand side.

4) try ‘that is’ instead of ‘showing below’

Sometimes, it may be convenient to express the energy of a Gibbs distribution as the sum of several terms, each ascribed to cliques of a certain size, that is,

5) there is no need using ‘that’ always

The above implies a homogeneous Gibbs distribution because , , and are independent of the location of , , and .