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This paper studies a recovery task of finding a low multilinear-rank tensor that fulfills some linear constraints in the general settings, which has many applications in computer vision and graphics. This problem is named as the low…

最优化与控制 · 数学 2013-10-08 Lei Yang , Zheng-Hai Huang , Yufan Li

Developing a unified small-signal model for modern, large-scale power systems that remains accurate across a wide range of operating ranges presents a formidable challenge. Traditional methods, spanning mechanistic modeling, modal…

系统与控制 · 电气工程与系统科学 2025-08-26 Weicheng Liu , Di Liu , Songyan Zhang , Chao Lu

A sparse linear programming (SLP) problem is a linear programming problem equipped with a sparsity (or cardinality) constraint, which is nonconvex and discontinuous theoretically and generally NP-hard computationally due to the…

最优化与控制 · 数学 2018-06-05 Chen Zhao , Ziyan Luo , Weiyue Li , Houduo Qi , Naihua Xiu

Lagrangian decomposition (LD) is a relaxation method that provides a dual bound for constrained optimization problems by decomposing them into more manageable sub-problems. This bound can be used in branch-and-bound algorithms to prune the…

人工智能 · 计算机科学 2024-08-26 Swann Bessa , Darius Dabert , Max Bourgeat , Louis-Martin Rousseau , Quentin Cappart

There hardly exists a general solver that is efficient for scheduling problems due to their diversity and complexity. In this study, we develop a two-stage framework, in which reinforcement learning (RL) and traditional operations research…

人工智能 · 计算机科学 2021-03-11 Yongming He , Guohua Wu , Yingwu Chen , Witold Pedrycz

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

The network localization problem with convex and non-convex distance constraints may be modeled as a nonlinear optimization problem. The existing localization techniques are mainly based on convex optimization. In those techniques, the…

最优化与控制 · 数学 2017-11-21 Ananya Saha , Buddhadeb Sau

Due to increasing railway use, the capacity at railway yards and maintenance locations is becoming limiting. Therefore, the scheduling of rolling stock maintenance and the choice regarding optimal locations to perform maintenance is…

最优化与控制 · 数学 2021-03-02 Jordi Zomer , Nikola Bešinović , Mathijs M. de Weerdt , Rob M. P. Goverde

The bilevel facility location problem (BO-FLP) is one of the core optimization problems behind the design of many decentralized industrial systems, e.g., supply chain systems where a supplier constructs some critical facilities and then…

最优化与控制 · 数学 2026-03-24 Haitao Hu , Jing Li , Jiafu Tang , Bo Zeng

In this paper, we revisit the large-scale constrained linear regression problem and propose faster methods based on some recent developments in sketching and optimization. Our algorithms combine (accelerated) mini-batch SGD with a new…

机器学习 · 计算机科学 2018-02-12 Di Wang , Jinhui Xu

The dynamical formulation of the optimal transport can be extended through various choices of the underlying geometry (kinetic energy), and the regularization of density paths (potential energy). These combinations yield different…

机器学习 · 计算机科学 2024-07-04 Kirill Neklyudov , Rob Brekelmans , Alexander Tong , Lazar Atanackovic , Qiang Liu , Alireza Makhzani

Time-varying vector fields produced by computational fluid dynamics simulations are often prohibitively large and pose challenges for accurate interactive analysis and exploration. To address these challenges, reduced Lagrangian…

机器学习 · 计算机科学 2022-04-11 Mengjiao Han , Sudhanshu Sane , Chris R. Johnson

In this paper, we develop unrolled neural networks to solve constrained optimization problems, offering accelerated, learnable counterparts to dual ascent (DA) algorithms. Our framework, termed constrained dual unrolling (CDU), comprises…

机器学习 · 计算机科学 2026-01-27 Samar Hadou , Alejandro Ribeiro

We present a deep reinforcement learning (deep RL) algorithm that consists of learning-based motion planning and imitation to tackle challenging control problems. Deep RL has been an effective tool for solving many high-dimensional…

机器人学 · 计算机科学 2023-03-02 Nitish Sontakke , Sehoon Ha

This article describes a set of methods for quickly computing the solution to the regularized optimal transport problem. It generalizes and improves upon the widely-used iterative Bregman projections algorithm (or Sinkhorn--Knopp…

数值分析 · 数学 2021-04-02 Alexis Thibault , Lénaïc Chizat , Charles Dossal , Nicolas Papadakis

Fifth-generation (5G) mobile communication networks have recently emerged in various fields, including highspeed trains. However, the dense deployment of 5G millimeter wave (mmWave) base stations (BSs) and the high speed of moving trains…

机器学习 · 计算机科学 2023-10-03 Ibrahim Yazici , Emre Gures

In bike sharing systems the quality of the service to the users strongly depends on the strategy adopted to reposition the bikes. The bike repositioning problem is in general very complex as it involves different interrelated decisions: the…

最优化与控制 · 数学 2024-06-17 E. Angelelli , A. Mor , M. G. Speranza

We develop an efficient method for solving non-convex constrained optimization problems that are pervasive in economics. The optimal solution to these problems often involves randomization. We employ a Lagrangian framework and prove that…

理论经济学 · 经济学 2026-05-07 Chengfeng Shen , Felix Kübler , Yucheng Yang , Zhennan Zhou

We formulate an optimization problem for maximizing the data rate of a common message transmitted from nodes within an airborne network broadcast to a central station receiver while maintaining a set of intra-network rate demands. Assuming…

最优化与控制 · 数学 2017-06-08 Theodoros Tsiligkaridis

The transition from conventional mobility to electromobility largely depends on charging infrastructure availability and optimal placement.This paper examines the optimal placement of charging stations in urban areas. We maximise the…

机器学习 · 计算机科学 2022-06-14 Leonie von Wahl , Nicolas Tempelmeier , Ashutosh Sao , Elena Demidova