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Dual descent methods are commonly used to solve network optimization problems because their implementation can be distributed through the network. However, their convergence rates are typically very slow. This paper introduces a family of…

Optimization and Control · Mathematics 2011-04-07 M. Zargham , A. Ribeiro , A. Jadbabaie , A. Ozdaglar

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving ERM problems with a nonsmooth regularization term. Current second-order and quasi-Newton methods for this…

Optimization and Control · Mathematics 2018-05-29 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

Energy distribution networks are crucial for human societies and since they often cover large geographical areas, their physical analysis is challenging. Modeling and simulation can be used to analyze such complex energy networks. In this…

Analysis of PDEs · Mathematics 2025-03-26 Saleha Kiran , Farhan Hussain , Mian Ilyas Ahmad

This paper proposes a multi-scale method to design a continuous-time distributed algorithm for constrained convex optimization problems by using multi-agents with Markov switched network dynamics and noisy inter-agent communications. Unlike…

Optimization and Control · Mathematics 2021-03-02 Wei Ni , Xiaoli Wang

This paper studies the problem of steering the distribution of a discrete-time dynamical system from an initial distribution to a target distribution in finite time. The formulation is fully nonlinear, allowing the use of general control…

Systems and Control · Electrical Eng. & Systems 2024-09-05 George Rapakoulias , Panagiotis Tsiotras

We present a computationally efficient framework, called $\texttt{FlowDRO}$, for solving flow-based distributionally robust optimization (DRO) problems with Wasserstein uncertainty sets while aiming to find continuous worst-case…

Machine Learning · Computer Science 2024-02-27 Chen Xu , Jonghyeok Lee , Xiuyuan Cheng , Yao Xie

In this paper, we propose a data-based methodology to solve a multi-period stochastic optimal water flow (OWF) problem for water distribution networks (WDNs). The framework explicitly considers the pump schedule and water network head level…

Optimization and Control · Mathematics 2022-04-26 Yi Guo , Shen Wang , Ahmad Taha , Tyler Summers

Various distributed optimization methods have been developed for solving problems which have simple local constraint sets and whose objective function is the sum of local cost functions of distributed agents in a network. Motivated by…

Systems and Control · Computer Science 2016-11-17 Tsung-Hui Chang , Angelia Nedić , Anna Scaglione

State transition algorithm (STA) has been emerging as a novel metaheuristic method for global optimization in recent few years. In our previous study, the parameter of transformation operator in continuous STA is kept constant or decreasing…

Optimization and Control · Mathematics 2018-12-20 Xiaojun Zhou

This paper aims at distributed multi-agent convex optimization where the communications network among the agents are presented by a random sequence of possibly state-dependent weighted graphs. This is the first work to consider both random…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Seyyed Shaho Alaviani , Atul Kelkar

This paper proposes a fully distributed reactive power optimization algorithm that can obtain the global optimum of non-convex problems for distribution networks without a central coordinator. Second-order cone (SOC) relaxation is used to…

Optimization and Control · Mathematics 2014-09-12 Weiye Zheng , Wenchuan Wu , Boming Zhang , Hongbin Sun , Liu Yibing

This paper presents a novel methodology to automatically split a water distribution system (WDS) into self-adapting district metered areas (DMAs) of different size. Complex networks theory is used to propose a novel multiscale network…

Applications · Statistics 2019-05-10 Carlo Giudicianni , Manuel Herrera , Armando di Nardo , Kemi Adeyeye

This paper presents a novel Wasserstein distributionally robust control and state estimation algorithm for partially observable linear stochastic systems, where the probability distributions of disturbances and measurement noises are…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

This article introduces, and reviews recent work using, a simple optimisation technique for analysing the nonlinear stability of a state in a dynamical system. The technique can be used to identify the most efficient way to disturb a system…

Fluid Dynamics · Physics 2014-08-18 R. R. Kerswell , C. C. T. Pringle , A. P. Willis

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

State estimation (SE) of water distribution networks (WDNs) is difficult to solve due to nonlinearity/nonconvexity of water flow models, uncertainties from parameters and demands, lack of redundancy of measurements, and inaccurate flow and…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Shen Wang , Ahmad F. Taha , Lina Sela , Nikolaos Gatsis , Marcio H. Giacomoni

Hybridisation of the multi-objective optimisation algorithm NSGA-II and local search is proposed for water distribution system design. Results obtained with the proposed algorithm are presented for four medium-size water networks taken from…

Neural and Evolutionary Computing · Computer Science 2019-05-21 Mahesh Patil , M. Naveen Naidu , A. Vasan , Murari R. R. Varma

There exist many criteria for the optimal design of water distribution networks. One of the most common criteria is to design the optimal cost water distribution network while satisfying the hydraulic design constraints. This study was…

Optimization and Control · Mathematics 2023-08-23 K. H. M. R. N. Senavirathna , C. K. Walgampaya

To cope with fast-fluctuating distributed energy resources (DERs) and uncontrolled loads, this paper formulates a time-varying optimization problem for distribution grids with DERs and develops a novel non-iterative algorithm to track the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 J. Wu , M. Liu , W. Lu , K. Xie , M. Xie