Convex Analysis and Optimization with Submodular Functions: a Tutorial

Details Convex Analysis and Optimization with Submodular Functions: a Tutorial Convex Analysis and Optimization with Submodular Functions: a Tutorial

2010-10-20

arxiv.org/abs/1010.4207v2

Computer Science

Learning

Scientific paper

Set-functions appear in many areas of computer science and applied mathematics, such as machine learning, computer vision, operations research or electrical networks. Among these set-functions, submodular functions play an important role, similar to convex functions on vector spaces. In this tutorial, the theory of submodular functions is presented, in a self-contained way, with all results shown from first principles. A good knowledge of convex analysis is assumed.

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