Submodular functions are an important concept in combinatorial
optimization that have recently received interest by the machine
learning community. In this talk we will show how it is possible in
polynomial time to construct an approximately optimal $k$-partition of
a submodular function using a Gomory-Hu tree. We will see how this
yields a clustering algorithm on the multi-information function (the
generalization of mutual-information). We apply this algorithm to the
task of predicting single nucleotide polymorphisms (SNPs) and show
results that suggest state-of-the-art performance on this task.
Given time, we will also briefly mention other activities going on at
University of Washington, Seattle and MPI.