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arXiv 1909.03433math.OCcs.LGstat.COstat.MLstat.OT

Distributionally Robust Optimization with Correlated Data from Vector Autoregressive Processes

University of Chicago(芝加哥大学);Argonne National Laboratory(阿贡国家实验室)

Xialiang Dou, Mihai Anitescu

英文摘要:

We present a distributionally robust formulation of a stochastic optimization problem for non-i.i.d vector autoregressive data. We use the Wasserstein distance to define robustness in the space of distributions and we show, using duality theory, that the problem is equivalent to a finite convex-concave saddle point problem. The performance of the method is demonstrated on both synthetic and real data.

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