Define an energy function e over the t variables

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Problem

Show how the optimal alpha-beta swap step can be found by running min-cut on an appropriately constructed graph. More precisely:

a. Define a set of binary variables t1, . . . , tn, such that the value of the ti's defines an alpha-beta-swap transformation on the xi's.

b. Define an energy function E' over the T variables such that E'(t) = E(x').

c. Show that the energy function E' is sub modular if the original energy function E is a semimetric.

Reference no: EM131854976

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