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Boskos, D. (author), Cortes, Jorge (author), Martinez Sandez, S. (author)This paper introduces a spectral parameterization of ambiguity sets to hedge against distributional uncertainty in stochastic optimization problems. We build an ambiguity set of probability densities around a histogram estimator, which is constructed by independent samples from the unknown distribution. The densities in the ambiguity set are...conference paper 2022
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Lavaei, Abolfazl (author), Mohajerin Esfahani, P. (author), Zamani, Majid (author)In this work, we propose a data-driven approach for the stability analysis of discrete-time homogeneous nonlinear systems with unknown models. The proposed framework is based on constructing Lyapunov functions via a set of data, collected from trajectories of unknown systems, while providing an a-priori guaranteed confidence on the stability of...conference paper 2022