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In this paper, we propose an efficient semidefinite programming (SDP) approach to worst-case linear discriminant analysis (WLDA). Compared with the traditional LDA, WLDA considers the dimensionality reduction problem from the worst-case…

机器学习 · 计算机科学 2023-07-19 Hui Li , Chunhua Shen , Anton van den Hengel , Qinfeng Shi

This work studies rearrangement problems involving the sorting of robots or objects in stack-like containers, which can be accessed only from one side. Two scenarios are considered: one where every robot or object needs to reach a…

机器人学 · 计算机科学 2017-07-03 Shuai D. Han , Nicholas M. Stiffler , Kostas E. Bekris , Jingjin Yu

We consider a natural extension to the metric uncapacitated Facility Location Problem (FLP) in which requests ask for different commodities out of a finite set $S$ of commodities. Ravi and Sinha (SODA'04) introduced the model as the…

数据结构与算法 · 计算机科学 2020-05-20 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

This article presents a matheuristic algorithm for the single-source capacitated facility location problem (SSCFLP) and its variants: SSCFLP with K facilities (SSCKFLP), SSCFLP with contiguous service areas (CFLSAP), and SSCFLP with K…

离散数学 · 计算机科学 2021-12-28 Yunfeng Kong

Reinforcement learning (RL) has demonstrated impressive performance in legged locomotion over various challenging environments. However, due to the sim-to-real gap and lack of explainability, unconstrained RL policies deployed in the real…

机器人学 · 计算机科学 2025-06-06 Haoyu Wang , Ruyi Zhou , Liang Ding , Tie Liu , Zhelin Zhang , Peng Xu , Haibo Gao , Zongquan Deng

We study bilevel optimization problems where the lower-level problems are strongly convex and have coupled linear constraints. To overcome the potential non-smoothness of the hyper-objective and the computational challenges associated with…

最优化与控制 · 数学 2026-02-06 Wei Shen , Jiawei Zhang , Minhui Huang , Cong Shen

Split learning (SL) has been recently proposed as a way to enable resource-constrained devices to train multi-parameter neural networks (NNs) and participate in federated learning (FL). In a nutshell, SL splits the NN model into parts, and…

分布式、并行与集群计算 · 计算机科学 2025-05-06 Joana Tirana , Dimitra Tsigkari , George Iosifidis , Dimitris Chatzopoulos

This paper presents ExeGPT, a distributed system designed for constraint-aware LLM inference. ExeGPT finds and runs with an optimal execution schedule to maximize inference throughput while satisfying a given latency constraint. By…

分布式、并行与集群计算 · 计算机科学 2024-04-12 Hyungjun Oh , Kihong Kim , Jaemin Kim , Sungkyun Kim , Junyeol Lee , Du-seong Chang , Jiwon Seo

The facility location problem is an NP-hard optimization problem. Therefore, approximation algorithms are often used to solve large instances. Such algorithms often perform much better than worst-case analysis suggests. Therefore,…

数据结构与算法 · 计算机科学 2019-03-29 Stefan Klootwijk , Bodo Manthey

With the increasing importance of sustainability, warehouse sharing arises as a possible way to improve the efficiency of the existing logistics system. This paper studied the warehouse sharing platform systems (WSPS) and investigated its…

最优化与控制 · 数学 2024-11-28 Zeren Xing , Yuehui Wu , Shuangyuan Yu

In this paper, we consider a class of optimization problems constrained to the generalized Stiefel manifold. Such problems are fundamental to a wide range of real-world applications, including generalized canonical correlation analysis,…

最优化与控制 · 数学 2026-02-06 Linshuo Jiang , Nachuan Xiao , Xin Liu

LP-type problems such as the Minimum Enclosing Ball (MEB), Linear Support Vector Machine (SVM), Linear Programming (LP), and Semidefinite Programming (SDP) are fundamental combinatorial optimization problems, with many important…

数据结构与算法 · 计算机科学 2025-07-17 N. Efe Çekirge , William Gay , David P. Woodruff

In the paper, we consider the competitive facility location problem with limited choice rule (CFLPLCR), which attempts to open a subset of facilities to maximize the net profit of a newcomer company, requiring customers to patronize only a…

最优化与控制 · 数学 2024-06-11 Wei-Kun Chen , Wei-Yang Zhang , Yan-Ru Wang , Shahin Gelareh , Yu-Hong Dai

Due to the increasing complexity of chip design, existing placement methods still have many shortcomings in dealing with macro cells coverage and optimization efficiency. Aiming at the problems of layout overlap, inferior performance, and…

硬件体系结构 · 计算机科学 2024-10-01 Tao Yu , Peng Gao , Fei Wang , Ru-Yue Yuan

Numerous approximation algorithms for problems on unit disk graphs have been proposed in the literature, exhibiting a sharp trade-off between running times and approximation ratios. We introduce a variation of the known shifting strategy…

数据结构与算法 · 计算机科学 2016-11-08 Guilherme D. da Fonseca , Vinícius G. Pereira de Sá , Celina M. H. de Figueiredo

The feasibility-seeking approach provides a systematic scheme to manage and solve complex constraints for continuous problems, and we explore it for the floorplanning problems with increasingly heterogeneous constraints. The classic…

最优化与控制 · 数学 2023-04-17 Shan Yu , Yair Censor , Ming Jiang , Guojie Luo

We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal design constraints. Such constraints arise naturally in this…

数值分析 · 数学 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

In practical domains, high-dimensional data are usually associated with diverse semantic labels, whereas traditional feature selection methods are designed for single-label data. Moreover, existing multi-label methods encounter two main…

机器学习 · 计算机科学 2025-05-26 Yan Zhong , Xingyu Wu , Xinping Zhao , Li Zhang , Xinyuan Song , Lei Shi , Bingbing Jiang

The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model different physical laws (together with operational constraints)…

最优化与控制 · 数学 2023-12-08 M. H. M. Christianen , S. van Kempen , M. Vlasiou , B. Zwart

This study addresses the challenge of efficiently assigning locomotives in large freight rail networks, where operational complexity and power imbalances make cost-effective planning difficult. It presents a strategic optimization framework…

最优化与控制 · 数学 2025-07-31 Yunji Kim , Amira Hijazi , Kevin Dalmeijer , Pascal Van Hentenryck