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The Mirror Descent Algorithm

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Convex Optimization with Computational Errors

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 155))

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Abstract

In this chapter we analyze the mirror descent algorithm for minimization of convex and nonsmooth functions and for computing the saddle points of convex–concave functions, under the presence of computational errors. The problem is described by an objective function and a set of feasible points.

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References

  1. Beck A, Teboulle M (2003) Mirror descent and nonlinear projected subgradient methods for convex optimization. Oper Res Lett 31:167–175

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  2. Nemirovski A, Yudin D (1983) Problem complexity and method efficiency in optimization. Wiley, New York

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  3. Zaslavski AJ (2016) Numerical optimization with computational errors. Springer, Cham

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J. Zaslavski, A. (2020). The Mirror Descent Algorithm. In: Convex Optimization with Computational Errors. Springer Optimization and Its Applications, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-030-37822-6_3

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