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Bayesian Optimization (BO) is a powerful tool for optimizing expensive black-box objective functions. While extensive research has been conducted on the single-objective optimization problem, the multi-objective optimization problem remains…

机器学习 · 计算机科学 2025-10-27 Lam Ngo , Huong Ha , Jeffrey Chan , Hongyu Zhang

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

最优化与控制 · 数学 2020-03-24 Tao Xu , Jun He , Changjing Shang

We study set selection problems where the weights are uncertain. Instead of its exact weight, only an uncertainty interval containing its true weight is available for each element. In some cases, some solutions are universally optimal;…

数据结构与算法 · 计算机科学 2024-04-29 Christoph Dürr , Arturo Merino , José A. Soto , José Verschae

In metric search, worst-case analysis is of little value, as the search invariably degenerates to a linear scan for ill-behaved data. Consequently, much effort has been expended on more nuanced descriptions of what performance might in fact…

数据结构与算法 · 计算机科学 2020-11-03 Magnus Lie Hetland

Recently, motivated by the rapid increase of the data size in various applications, Monemizadeh [APPROX'23] and Driemel, Monemizadeh, Oh, Staals, and Woodruff [SoCG'25] studied geometric problems in the setting where the only access to the…

计算几何 · 计算机科学 2026-03-24 T. Schibler , J. Xue , J. Zhu

Stacked AutoEncoders (SAE) have been widely adopted in edge anomaly detection scenarios. However, the resource-intensive nature of SAE can pose significant challenges for edge devices, which are typically resource-constrained and must adapt…

神经与进化计算 · 计算机科学 2026-03-17 Lizhao Zhang , Shengsong Kong , Tao Guo , Shaobo Li , Zhenzhou Ji

Finding a good classifier is a multiobjective optimization problem with different error rates and the costs to be minimized. The receiver operating characteristic is widely used in the machine learning community to analyze the performance…

神经与进化计算 · 计算机科学 2014-12-19 Jiaqi Zhao , Vitor Basto Fernandes , Licheng Jiao , Iryna Yevseyeva , Asep Maulana , Rui Li , Thomas Bäck , Michael T. M. Emmerich

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

神经与进化计算 · 计算机科学 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

We introduce a novel multivariate approach for solving weighted parameterized problems. In our model, given an instance of size $n$ of a minimization (maximization) problem, and a parameter $W \geq 1$, we seek a solution of weight at most…

数据结构与算法 · 计算机科学 2015-02-24 Hadas Shachnai , Meirav Zehavi

Many optimization problems arising in applications have to consider several objective functions at the same time. Evolutionary algorithms seem to be a very natural choice for dealing with multi-objective problems as the population of such…

神经与进化计算 · 计算机科学 2013-09-17 Tobias Friedrich , Frank Neumann , Christian Thyssen

Data-driven evolutionary multi-objective optimization (EMO) has been recognized as an effective approach for multi-objective optimization problems with expensive objective functions. The current research is mainly developed for problems…

神经与进化计算 · 计算机科学 2022-05-31 Renzhi Chen , Ke Li

A minimum Manhattan distance (MMD) approach to multiple criteria decision making in multiobjective optimization problems (MOPs) is proposed. The approach selects the final solution corresponding with a vector that has the MMD from a…

最优化与控制 · 数学 2017-05-05 Wei-Yu Chiu , Gary G. Yen , Teng-Kuei Juan

We consider problems in which we are given a rooted tree as input, and must find a subtree with the same root, optimizing some objective function of the nodes in the subtree. When this function is the sum of constant node weights, the…

计算几何 · 计算机科学 2007-05-23 Josiah Carlson , David Eppstein

One of the major distinguishing features of the dynamic multiobjective optimization problems (DMOPs) is the optimization objectives will change over time, thus tracking the varying Pareto-optimal front becomes a challenge. One of the…

神经与进化计算 · 计算机科学 2017-11-21 Min Jiang , Zhongqiang Huang , Liming Qiu , Wenzhen Huang , Gary G. Yen

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

神经与进化计算 · 计算机科学 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

Real world constrained multiobjective optimization problems (CMOPs) are prevalent and often come with stringent time-sensitive requirements. However, most contemporary constrained multiobjective evolutionary algorithms (CMOEAs) suffer from…

神经与进化计算 · 计算机科学 2026-01-27 Weixiong Huang , Rui Wang , Wenhua Li , Sheng Qi , Tianyu Luo , Delong Chen , Tao Zhang , Ling Wang

The use of min-max optimization in adversarial training of deep neural network classifiers and training of generative adversarial networks has motivated the study of nonconvex-nonconcave optimization objectives, which frequently arise in…

最优化与控制 · 数学 2021-03-02 Jelena Diakonikolas , Constantinos Daskalakis , Michael I. Jordan

Maximum mean discrepancy (MMD) has been widely employed to measure the distance between probability distributions. In this paper, we propose using MMD to solve continuous multi-objective optimization problems (MOPs). For solving MOPs, a…

机器学习 · 计算机科学 2025-05-21 Hao Wang , Chenyu Shi , Angel E. Rodriguez-Fernandez , Oliver Schütze

We study a natural generalization of the maximum weight many-to-one matching problem. We are given an undirected bipartite graph $G= (A \cup P, E)$ with weights on the edges in $E$, and with lower and upper quotas on the vertices in $P$. We…

离散数学 · 计算机科学 2016-03-29 Ashwin Arulselvan , Ágnes Cseh , Martin Groß , David F. Manlove , Jannik Matuschke

The multi-task learning (MTL) paradigm can be traced back to an early paper of Caruana (1997) in which it was argued that data from multiple tasks can be used with the aim to obtain a better performance over learning each task…

机器学习 · 计算机科学 2021-12-10 Andrea Ponti