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This paper presents a new approach to distributed controller design that exploits a partial-structure representation of linear time invariant systems to characterize the structure of a system. This partial-structure representation, called…

Optimization and Control · Mathematics 2012-09-18 Anurag Rai , Sean Warnick

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

Statistics Theory · Mathematics 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

The problem under consideration is the synthesis of a distributed controller for a nonlinear network composed of input affine systems. The objective is to achieve exponential convergence of the solutions. To design such a feedback law,…

Optimization and Control · Mathematics 2016-09-26 Humberto Stein Shiromoto , Ian R. Manchester

A large-scale complex system comprising many, often spatially distributed, dynamical subsystems with partial autonomy and complex interactions are called system of systems. This paper describes an efficient algorithm for model predictive…

Optimization and Control · Mathematics 2019-04-25 Branimir Novoselnik , Vedrana Spudić , Mato Baotić

Many statistical learning problems can be posed as minimization of a sum of two convex functions, one typically a composition of non-smooth and linear functions. Examples include regression under structured sparsity assumptions. Popular…

Machine Learning · Statistics 2021-07-19 Seyoon Ko , Donghyeon Yu , Joong-Ho Won

In this paper, we present a novel approach to reconstruct a unique image of an observed scene with widely distributed radar sensors. The problem is posed as a constrained optimization problem in which the global image which represents the…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Ahmed Murtada , Ruizhi Hu , Bhavani Shankar Mysore Rama Rao , Udo Schroeder

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

Optimization and Control · Mathematics 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

This paper describes a two-layer control and coordination framework for distributed energy resources. The lower layer is a real-time model predictive control (MPC) executed at 10 s resolution to achieve fine tuning of a given energy…

Systems and Control · Computer Science 2020-08-07 Rahul Gupta , Fabrizio Sossan , Enrica Scolari , Emil Namor , Luca Fabietti , Colin Jones , Mario Paolone

This paper develops column partition based distributed schemes for a class of large-scale convex sparse optimization problems, e.g., basis pursuit (BP), LASSO, basis pursuit denosing (BPDN), and their extensions, e.g., fused LASSO. We are…

Optimization and Control · Mathematics 2020-03-18 Jinglai Shen , Jianghai Hu , Eswar Kumar Hathibelagal Kammara

The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

Machine Learning · Statistics 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

Distributed optimization, where the computations are performed in a localized and coordinated manner using multiple agents, is a promising approach for solving large-scale optimization problems, e.g., those arising in model predictive…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Wentao Tang , Prodromos Daoutidis

We consider constraint-coupled optimization problems in which agents of a network aim to cooperatively minimize the sum of local objective functions subject to individual constraints and a common linear coupling constraint. We propose a…

Optimization and Control · Mathematics 2019-07-26 Alessandro Falsone , Ivano Notarnicola , Giuseppe Notarstefano , Maria Prandini

This paper examines online distributed Alternating Direction Method of Multipliers (ADMM). The goal is to distributively optimize a global objective function over a network of decision makers under linear constraints. The global objective…

Optimization and Control · Mathematics 2015-10-05 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

This paper presents a distributed optimization algorithm tailored for solving optimal control problems arising in multi-building coordination. The buildings coordinated by a grid operator, join a demand response program to balance the…

Optimization and Control · Mathematics 2021-01-14 Junyan Su , Yuning Jiang , Altug Bitlislioglu , Colin N. Jones , Boris Houska

In this paper, we propose a distributed control strategy for the design of an energy market. The method relies on a hierarchical structure of aggregators for the coordination of prosumers (agents which can produce and consume energy). The…

Systems and Control · Computer Science 2018-06-28 Lorenzo Nespoli , Vasco Medici

This work is concerned with the finite-horizon optimal covariance steering of networked systems governed by discrete-time stochastic linear dynamics. In contrast with existing work that has only considered systems with dynamically decoupled…

Optimization and Control · Mathematics 2025-04-29 Ahmed Khalil , Yoonjae Lee , Efstathios Bakolas

This paper proposes a parallel optimization algorithm for cooperative automation of large-scale connected vehicles. The task of cooperative automation is formulated as a centralized optimization problem taking the whole decision space of…

Systems and Control · Computer Science 2018-08-01 Zhitao Wang , Yang Zheng , Shengbo Eben Li , Keyou You , Keqiang Li

In this paper, we propose a solution for a fundamental problem in computational harmonic analysis, namely, the construction of a multiresolution analysis with directional components. We will do so by constructing subdivision schemes which…

Numerical Analysis · Mathematics 2007-10-16 Gitta Kutyniok , Tomas Sauer

Parabolic optimal control problems with control constraints are generally challenging, from either theoretical analysis or algorithmic design perspectives. Conceptually, the well-known alternating direction method of multipliers (ADMM) can…

Optimization and Control · Mathematics 2020-05-05 Yongcun Song , Xiaoming Yuan , Hangrui Yue