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The rapid growth of online network platforms generates large-scale network data and it poses great challenges for statistical analysis using the spatial autoregression (SAR) model. In this work, we develop a novel distributed estimation and…

Computation · Statistics 2023-11-29 Yimeng Ren , Zhe Li , Xuening Zhu , Yuan Gao , Hansheng Wang

State estimation allows to monitor power networks, exploiting field measurements to derive the most likely grid state. In the literature, measurement errors are usually assumed to follow zero-mean Gaussian distributions; however, it has…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

With the rising penetration of distributed energy resources, distribution system control and enabling techniques such as state estimation have become essential to distribution system operation. However, traditional state estimation…

Optimization and Control · Mathematics 2019-04-11 Priya L. Donti , Yajing Liu , Andreas J. Schmitt , Andrey Bernstein , Rui Yang , Yingchen Zhang

Incorporating Renewable Energy Sources (RES) incurs a high level of uncertainties to electric power systems. This level of uncertainties makes the conventional energy management methods inefficient and jeopardizes the security of…

Optimization and Control · Mathematics 2019-10-17 Mohammad Rasoul Narimani , Ali Azizivahed , Ehsan Naderi

Current transmission and distribution system states are mostly unobservable to each other, and state estimation is separately conducted in the two systems owing to the differences in network structures and analytical models. The large-scale…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Ying Zhang , Yanbo Chen , Jianhui Wang , Yue Meng , Tianqiao Zhao

Microgrid (MG) with different technologies in distributed generations (DG) and different control facilities require proper management and scheduling strategies. In these strategies, in order to reach the optimal management, the stochastic…

Optimization and Control · Mathematics 2017-08-17 Farhad Samadi Gazijahani , Javad Salehi

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

Optimization and Control · Mathematics 2025-07-31 Yang Jiao , Kai Yang , Dongjin Song

In this work, we consider the problem of a network of agents collectively minimizing a sum of convex functions. The agents in our setting can only access their local objective functions and exchange information with their immediate…

Optimization and Control · Mathematics 2019-10-01 Charikleia Iakovidou , Ermin Wei

We derive high-dimensional scaling limits and fluctuations for the online least-squares Stochastic Gradient Descent (SGD) algorithm by taking the properties of the data generating model explicitly into consideration. Our approach treats the…

Probability · Mathematics 2024-04-05 Krishnakumar Balasubramanian , Promit Ghosal , Ye He

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

Machine Learning · Computer Science 2022-12-20 Yang Jiao , Kai Yang , Dongjin Song

In this paper we consider a network of agents monitoring a spatially distributed arrival process. Each node measures the number of arrivals seen at its monitoring point in a given time-interval with the objective of estimating the unknown…

Optimization and Control · Mathematics 2017-02-17 Angelo Coluccia , Giuseppe Notarstefano

State estimation plays a key role in the transition from the passive to the active operation of distribution systems, as it allows to monitor these networks and, successively, to perform control actions. However, designing state estimators…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

Signal Processing · Electrical Eng. & Systems 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

This paper studies two fundamental problems in power systems: the economic dispatch problem (EDP) and load shedding. For the EDP, an extension of the problem considering the transmission losses is presented. Because the optimization problem…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Ismi Rosyiana Fitri , Jung-Su Kim

Distributed descent-based methods are an essential toolset to solving optimization problems in multi-agent system scenarios. Here the agents seek to optimize a global objective function through mutual cooperation. Oftentimes, cooperation is…

Optimization and Control · Mathematics 2019-08-28 Arunselvan Ramaswamy

Motivated by the growing demand for serving large language model inference requests, we study distributed load balancing for global serving systems with network latencies. We consider a fluid model in which continuous flows of requests…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-16 Santiago R. Balseiro , Vahab S. Mirrokni , Bartek Wydrowski

The precise knowledge regarding the state of the power grid is important in order to ensure optimal and reliable grid operation. Specifically, knowing the state of the distribution grid becomes increasingly important as more renewable…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Jonatan Ostrometzky , Konstantin Berestizshevsky , Andrey Bernstein , Gil Zussman

In this paper, we investigate a distributed learning scheme for a broad class of stochastic optimization problems and games that arise in signal processing and wireless communications. The proposed algorithm relies on the method of matrix…

Information Theory · Computer Science 2017-04-05 Panayotis Mertikopoulos , E. Veronica Belmega , Romain Negrel , Luca Sanguinetti

Contemporary electricity distribution systems are being challenged by the variability of renewable energy sources. Slow response times and long energy management periods cannot efficiently integrate intermittent renewable generation and…

Systems and Control · Computer Science 2016-02-02 Gang Wang , Vassilis Kekatos , Antonio J. Conejo , Georgios B. Giannakis