# Integer Convex Minimization in Low Dimensions

@inproceedings{Oertel2014IntegerCM, title={Integer Convex Minimization in Low Dimensions}, author={Timm Oertel}, year={2014} }

In this dissertation we discuss several approaches to solve integer and mixedinteger convex minimization problems. That is, we try to minimize a convex function over a convex set with the additional constraint that a small number variables must be integral. The thesis consists of four parts. In the first part we apply the Mirror-Descent Method from continuous convex optimization to the mixed-integer setting. The main feature of this method is that the number of iterations is independent of the…

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