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相关论文: Neural Multi-Objective Combinatorial Optimization …

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In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

Interfacial dynamics underlie a wide range of phenomena, including phase transitions, microstructure coarsening, pattern formation, and thin-film growth, and are typically described by stiff, time-dependent nonlinear partial differential…

Deep Equilibrium Models (DEQs) and Neural Ordinary Differential Equations (Neural ODEs) are two branches of implicit models that have achieved remarkable success owing to their superior performance and low memory consumption. While both are…

机器学习 · 计算机科学 2023-12-22 Shutong Ding , Tianyu Cui , Jingya Wang , Ye Shi

Multi-modal multi-objective optimization problems (MMMOPs) have multiple subsets within the Pareto-optimal Set, each independently mapping to the same Pareto-Front. Prevalent multi-objective evolutionary algorithms are not purely designed…

神经与进化计算 · 计算机科学 2021-02-04 Monalisa Pal , Sanghamitra Bandyopadhyay

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

机器学习 · 计算机科学 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

Combinatorial optimization problems are notoriously challenging for neural networks, especially in the absence of labeled instances. This work proposes an unsupervised learning framework for CO problems on graphs that can provide integral…

机器学习 · 计算机科学 2021-03-09 Nikolaos Karalias , Andreas Loukas

Recently, a deep reinforcement learning method is proposed to solve multiobjective optimization problem. In this method, the multiobjective optimization problem is decomposed to a number of single-objective optimization subproblems and all…

神经与进化计算 · 计算机科学 2020-02-14 Hong Wu , Jiahai Wang , Zizhen Zhang

In this paper, a hybrid method for solving multi-objective problem has been provided. The proposed method is combining the {\epsilon}-Constraint and the Cuckoo algorithm. First the multi objective problem transfers into a single-objective…

神经与进化计算 · 计算机科学 2015-09-29 Mahdi parvizi , Elham Shadkam , Niloofar Jahani

An emerging optimisation problem from the real-world applications, named the multi-point dynamic aggregation (MPDA) problem, has become one of the active research topics of the multi-robot system. This paper focuses on a multi-objective…

神经与进化计算 · 计算机科学 2021-05-12 Guanqiang Gao , Bin Xin , Yi Mei , Shuxin Ding , Juan Li

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Neural Combinatorial Optimization (NCO) has emerged as a powerful framework for solving combinatorial optimization problems by integrating deep learning-based models. This work focuses on improving existing inference techniques to enhance…

In this article using Cuckoo Optimization Algorithm and simple additive weighting method the hybrid COAW algorithm is presented to solve multi-objective problems. Cuckoo algorithm is an efficient and structured method for solving nonlinear…

神经与进化计算 · 计算机科学 2016-11-03 Zeinab Borhanifar , Elham Shadkam

Optimization of conflicting functions is of paramount importance in decision making, and real world applications frequently involve data that is uncertain or unknown, resulting in multi-objective optimization (MOO) problems of stochastic…

数值分析 · 数学 2021-02-08 Suyun Liu , Luis Nunes Vicente

Multi-task learning is a powerful method for solving multiple correlated tasks simultaneously. However, it is often impossible to find one single solution to optimize all the tasks, since different tasks might conflict with each other.…

机器学习 · 计算机科学 2020-01-01 Xi Lin , Hui-Ling Zhen , Zhenhua Li , Qingfu Zhang , Sam Kwong

Multi-objective optimization (MOO) exists extensively in machine learning, and aims to find a set of Pareto-optimal solutions, called the Pareto front, e.g., it is fundamental for multiple avenues of research in federated learning (FL).…

机器学习 · 计算机科学 2025-05-28 Mengmeng Chen , Xiaohu Wu , Qiqi Liu , Tiantian He , Yew-Soon Ong , Yaochu Jin , Qicheng Lao , Han Yu

The facility location problems (FLPs) are a typical class of NP-hard combinatorial optimization problems, which are widely seen in the supply chain and logistics. Many mathematical and heuristic algorithms have been developed for optimizing…

机器学习 · 计算机科学 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

Neural operators have emerged as an efficient paradigm for solving PDEs, overcoming the limitations of traditional numerical methods and significantly improving computational efficiency. However, due to the diversity and complexity of PDE…

计算机视觉与模式识别 · 计算机科学 2026-02-26 Dengdi Sun , Xiaoya Zhou , Xiao Wang , Hao Si , Wanli Lyu , Jin Tang , Bin Luo

The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points,…

最优化与控制 · 数学 2024-02-12 Konstantin Sonntag , Bennet Gebken , Georg Müller , Sebastian Peitz , Stefan Volkwein

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

人工智能 · 计算机科学 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

Optimizing the performance of many objectives (instantiated by tasks or clients) jointly with a few Pareto stationary solutions (models) is critical in machine learning. However, previous multi-objective optimization methods often focus on…

机器学习 · 计算机科学 2024-03-08 Ziyue Li , Tian Li , Virginia Smith , Jeff Bilmes , Tianyi Zhou