most citedDistributionally Time-Varying Online Stochastic Optimization under Polyak-Łojasiewicz Condition with Application in Conditional Value-at-Risk Statistical Learning

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math.OC2024

Online Non-Stationary Stochastic Quasar-Convex Optimization

Yuen-Man Pun, Iman Shames

Recent research has shown that quasar-convexity can be found in applications such as identification of linear dynamical systems and generalized linear models. Such observations hav…

math.OC20231 cited

Distributionally Time-Varying Online Stochastic Optimization under Polyak-Łojasiewicz Condition with Application in Conditional Value-at-Risk Statistical Learning

Yuen-Man Pun, Farhad Farokhi, Iman Shames

In this work, we consider a sequence of stochastic optimization problems following a time-varying distribution via the lens of online optimization. Assuming that the loss function…

math.OC2023

A Robust Control Approach to Asymptotic Optimality of the Heavy Ball Method for Optimization of Quadratic Functions

V. Ugrinovskii, I. R. Petersen, I. Shames

Among first order optimization methods, Polyak's heavy ball method has long been known to guarantee the asymptotic rate of convergence matching Nesterov's lower bound for functions…

math.OC2023

Nonlinear Dual control based on Fast Moving Horizon estimation and Model Predictive Control with an observability constraint

Emilien Flayac, Girish Nair, Iman Shames

This paper proposes an algorithm that combines Fast Moving Horizon Parameter Estimation and Model Predictive Control subject to an observability constraint designed to ensure a low…

math.OC2023

Regret Analysis of Online LQR Control via Trajectory Prediction and Tracking: Extended Version

Yitian Chen, Timothy L. Molloy, Tyler Summers +1

In this paper, we propose and analyze a new method for online linear quadratic regulator (LQR) control with a priori unknown time-varying cost matrices. The cost matrices are revea…

math.OC20231 cited

Self-Tuning Network Control Architectures

Tyler Summers, Karthik Ganapathy, Iman Shames +1

We formulate a general mathematical framework for self-tuning network control architecture design. This problem involves jointly adapting the locations of active sensors and actuat…