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Fast Decomposable Submodular Function Minimization using Constrained Total Variation
Senanayak Sesh Kumar Karri · Francis Bach · Thomas Pock

Wed Dec 11 10:45 AM -- 12:45 PM (PST) @ East Exhibition Hall B + C #165

We consider the problem of minimizing the sum of submodular set functions assuming minimization oracles of each summand function. Most existing approaches reformulate the problem as the convex minimization of the sum of the corresponding Lov\'asz extensions and the squared Euclidean norm, leading to algorithms requiring total variation oracles of the summand functions; without further assumptions, these more complex oracles require many calls to the simpler minimization oracles often available in practice. In this paper, we consider a modified convex problem requiring constrained version of the total variation oracles that can be solved with significantly fewer calls to the simple minimization oracles. We support our claims by showing results on graph cuts for 2D and 3D graphs.

Author Information

Senanayak Sesh Kumar Karri (Imperial College London)
Francis Bach (INRIA - Ecole Normale Superieure)
Thomas Pock (Graz University of Technology)

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