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Submodular Functions
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Provable Submodular Function Minimization via Fujishige Wolfe Algorithm
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- 1 Submodular Functions
- 2 Submodular Function Minimization Find set A which minimizes f(A)
- 3 Theory vs Practice
- 4 Is it good in theory?
- 5 Base Polytope
- 6 Edmond's Theorems for Submod. f
- 7 Robust Fujishige's Theorem
- 8 Reduction to Convex Optimization
- 9 Geometrical preliminaries
- 10 Wolfe's algorithm in a nutshell
- 11 Checking Optimality
- 12 Wolfe's Algorithm: Details
- 13 If S is a corral: Major Cycle
- 14 Summarizing Wolfe's Algorithm
- 15 Two Major Cycles in a Row
- 16 Major-minor-Major
- 17 Wrapping up
- 18 Take home points
