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We present a distributed conjugate gradient method for distributed optimization problems, where each agent computes an optimal solution of the problem locally without any central computation or coordination, while communicating with its…

最优化与控制 · 数学 2024-02-27 Ola Shorinwa , Mac Schwager

This paper discusses dynamical systems for disk-covering and sphere-packing problems. We present facility location functions from geometric optimization and characterize their differentiable properties. We design and analyze a collection of…

最优化与控制 · 数学 2007-05-23 Jorge Cortes , Francesco Bullo

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

最优化与控制 · 数学 2020-02-11 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

In this work, we propose a disentangled latent optimization-based method for parameterizing grouped deforming 3D objects into shape and deformation factors in an unsupervised manner. Our approach involves the joint optimization of a…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Mostofa Rafid Uddin , Jana Armouti , Umong Sain , Md Asib Rahman , Xingjian Li , Min Xu

This paper proposes a new distributed algorithm for solving linear systems associated with a sparse graph under a generalised diagonal dominance assumption. The algorithm runs iteratively on each node of the graph, with low complexities on…

信号处理 · 电气工程与系统科学 2019-04-30 Qianqian Cai , Zhaorong Zhang , Minyue Fu

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

系统与控制 · 电气工程与系统科学 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

We propose a parallel algorithm for the numerical solution of a class of second order semi-linear equations coming from stochastic optimal control problems, by means of a dynamic domain decomposition technique. The new method is an…

数值分析 · 数学 2016-02-11 Simone Cacace , Maurizio Falcone

This paper develops a probabilistic anticipation algorithm for dynamic objects observed by an autonomous robot in an urban environment. Predictive Gaussian mixture models are used due to their ability to probabilistically capture continuous…

机器人学 · 计算机科学 2013-09-04 Frank Havlak , Mark Campbell

We introduce a new problem in the domain of mobile robots, which we term dispersion. In this problem, $n$ robots are placed in an $n$ node graph arbitrarily and must coordinate with each other to reach a final configuration such that…

分布式、并行与集群计算 · 计算机科学 2018-07-18 John Augustine , William K. Moses

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

最优化与控制 · 数学 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

Any model order reduced dynamical system that evolves a modal decomposition to approximate the discretized solution of a stochastic PDE can be related to a vector field tangent to the manifold of fixed rank matrices. The Dynamically…

动力系统 · 数学 2018-04-04 Florian Feppon , Pierre F. J. Lermusiaux

Combinatorial optimization problems are pervasive across science and industry. Modern deep learning tools are poised to solve these problems at unprecedented scales, but a unifying framework that incorporates insights from statistical…

机器学习 · 计算机科学 2022-04-26 Martin J. A. Schuetz , J. Kyle Brubaker , Helmut G. Katzgraber

We propose distributed algorithms to automatically deploy a team of mobile robots to partition and provide coverage of a non-convex environment. To handle arbitrary non-convex environments, we represent them as graphs. Our partitioning and…

机器人学 · 计算机科学 2016-11-17 Joseph W. Durham , Ruggero Carli , Paolo Frasca , Francesco Bullo

We consider a group of computation units trying to cooperatively solve a distributed optimization problem with shared linear equality and inequality constraints. Assuming that the computation units are communicating over a network whose…

最优化与控制 · 数学 2019-06-06 Simon Michalowsky , Bahman Gharesifard , Christian Ebenbauer

By incorporating physical consistency as inductive bias, deep neural networks display increased generalization capabilities and data efficiency in learning nonlinear dynamic models. However, the complexity of these models generally…

机器学习 · 计算机科学 2025-03-03 Katharina Friedl , Noémie Jaquier , Jens Lundell , Tamim Asfour , Danica Kragic

In this paper we will consider distributed Linear-Quadratic Optimal Control Problems dealing with Advection-Diffusion PDEs for high values of the P\'eclet number. In this situation, computational instabilities occur, both for steady and…

数值分析 · 数学 2024-05-03 Fabio Zoccolan , Maria Strazzullo , Gianluigi Rozza

In computer networks, participants may cooperate in processing tasks, so that loads are balanced among them. We present local distributed algorithms that (repeatedly) use local imbalance criteria to transfer loads concurrently across the…

分布式、并行与集群计算 · 计算机科学 2020-10-07 Yefim Dinitz , Shlomi Dolev , Manish Kumar

Distributed optimization enables networked agents to cooperatively solve a global optimization problem even with each participating agent only having access to a local partial view of the objective function. Despite making significant…

最优化与控制 · 数学 2022-10-04 Yongqiang Wang , Tamer Başar

Although the field of distributed optimization is well-developed, relevant literature focused on the application of distributed optimization to multi-robot problems is limited. This survey constitutes the second part of a two-part series on…

机器人学 · 计算机科学 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

最优化与控制 · 数学 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim