# Complexity of optimizing over the integers

@article{Basu2021ComplexityOO, title={Complexity of optimizing over the integers}, author={Amitabh Basu}, journal={ArXiv}, year={2021}, volume={abs/2110.06172} }

In the first part of this paper, we present a unified framework for analyzing the algorithmic complexity of any optimization problem, whether it be continuous or discrete in nature. This helps to formalize notions like “input”, “size” and “complexity” in the context of general mathematical optimization, avoiding context dependent definitions which is one of the sources of difference in the treatment of complexity within continuous and discrete optimization. In the second part of the paper, we…

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