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We present a novel communication-efficient Newton-type algorithm for finite-sum optimization over a distributed computing environment. Our method, named DINO, overcomes both theoretical and practical shortcomings of similar existing…

最优化与控制 · 数学 2020-06-09 Rixon Crane , Fred Roosta

We propose an adaptive optimization algorithm for operating district heating networks in a stationary regime. The behavior of hot water flow in the pipe network is modeled using the incompressible Euler equations and a suitably chosen…

最优化与控制 · 数学 2023-05-05 Hannes Dänschel , Volker Mehrmann , Marius Roland , Martin Schmidt

Various bias-correction methods such as EXTRA, gradient tracking methods, and exact diffusion have been proposed recently to solve distributed {\em deterministic} optimization problems. These methods employ constant step-sizes and converge…

机器学习 · 计算机科学 2023-07-19 Kun Yuan , Sulaiman A. Alghunaim , Bicheng Ying , Ali H. Sayed

This paper presents a distributed voltage regulation method based on multi-agent system control and network self-organization for a large distribution network. The network autonomously organizes itself into small subnetworks through the…

系统与控制 · 电气工程与系统科学 2022-02-02 Badr Al Faiya , Dimitrios Athanasiadis , Minjiang Chen , Stephen McArthur , Ivana Kockar , Haowei Lu , Francisco de Leon

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

数值分析 · 数学 2020-01-08 Yating Wang , Guang Lin

The DistFlow model accurately represents power flows in distribution systems, but the model's nonlinearities result in computational challenges for many applications. Accordingly, a linear approximation known as \mbox{LinDistFlow} (and its…

系统与控制 · 电气工程与系统科学 2025-11-14 Babak Taheri , Rahul K. Gupta , Daniel K. Molzahn

Cooperative decision making is a vision of future network management and control. Distributed connection preemption is an important example where nodes can make intelligent decisions on allocating resources and controlling traffic flows for…

机器学习 · 计算机科学 2009-01-08 Sung-eok Jeon , Chuanyi Ji

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

最优化与控制 · 数学 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

We consider statistical methods which invoke a min-max distributionally robust formulation to extract good out-of-sample performance in data-driven optimization and learning problems. Acknowledging the distributional uncertainty in learning…

统计理论 · 数学 2021-08-05 Jose Blanchet , Karthyek Murthy , Viet Anh Nguyen

We propose a distributed algorithm to solve a dynamic programming problem with multiple agents, where each agent has only partial knowledge of the state transition probabilities and costs. We provide consensus proofs for the presented…

最优化与控制 · 数学 2023-06-19 Nikolaus Vertovec , Kostas Margellos

A challenging problem in decentralized optimization is to develop algorithms with fast convergence on random and time varying topologies under unreliable and bandwidth-constrained communication network. This paper studies a stochastic…

最优化与控制 · 数学 2025-05-29 Chung-Yiu Yau , Haoming Liu , Hoi-To Wai

This paper studies the problem of optimally allocating a cash injection into a financial system in distress. Given a one-period borrower-lender network in which all debts are due at the same time and have the same seniority, we address the…

风险管理 · 定量金融 2014-12-18 Zhang Li , Xiaojun Lin , Borja Peleato-Inarrea , Ilya Pollak

We consider a general class of two-stage distributionally robust optimization (DRO) problems where the ambiguity set is constrained by fixed marginal probability laws that are not necessarily discrete. We derive primal and dual formulations…

最优化与控制 · 数学 2025-10-17 Ariel Neufeld , Qikun Xiang

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

最优化与控制 · 数学 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

Recently, diffusion models have gained popularity and attention in trajectory optimization due to their capability of modeling multi-modal probability distributions. However, addressing nonlinear equality constraints, i.e, dynamic…

机器人学 · 计算机科学 2026-03-10 Jushan Chen , Santiago Paternain

Neural networks are discrete entities: subdivided into discrete layers and parametrized by weights which are iteratively optimized via difference equations. Recent work proposes networks with layer outputs which are no longer quantized but…

神经与进化计算 · 计算机科学 2019-09-09 Stefano Massaroli , Michael Poli , Federico Califano , Angela Faragasso , Jinkyoo Park , Atsushi Yamashita , Hajime Asama

Stochastic network design is a general framework for optimizing network connectivity. It has several applications in computational sustainability including spatial conservation planning, pre-disaster network preparation, and river network…

人工智能 · 计算机科学 2016-12-02 Xiaojian Wu , Akshat Kumar , Daniel Sheldon , Shlomo Zilberstein

Real-world deployments routinely face distribution shifts, group imbalances, and adversarial perturbations, under which the traditional Empirical Risk Minimization (ERM) framework can degrade severely. Distributionally Robust Optimization…

机器学习 · 计算机科学 2026-02-19 Difei Xu , Meng Ding , Zebin Ma , Huanyi Xie , Youming Tao , Aicha Slaitane , Di Wang

We present a novel computational framework for density control in high-dimensional state spaces. The considered dynamical system consists of a large number of indistinguishable agents whose behaviors can be collectively modeled as a…

最优化与控制 · 数学 2023-07-26 Shaojun Ma , Mengxue Hou , Xiaojing Ye , Haomin Zhou

Dynamic network reconstruction has been shown to be challenging due to the requirements on sparse network structures and network identifiability. The direct parametric method (e.g., using ARX models) requires a large amount of parameters in…

系统与控制 · 计算机科学 2018-11-22 Zuogong Yue , Johan Thunberg , Lennart Ljung , Jorge Goncalves