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The Multi-Objective Evolutionary Algorithm based on Decomposition (MOEA/D) is a popular algorithm for solving Multi-Objective Problems (MOPs). The main component of MOEA/D is to decompose a MOP into easier sub-problems using a set of weight…

神经与进化计算 · 计算机科学 2021-09-14 Yuri Lavinas , Abe Mitsu Teru , Yuta Kobayashi , Claus Aranha

Embedding parameterized optimization problems as layers into machine learning architectures serves as a powerful inductive bias. Training such architectures with stochastic gradient descent requires care, as degenerate derivatives of the…

机器学习 · 计算机科学 2024-12-16 Anselm Paulus , Georg Martius , Vít Musil

Several recent publications report advances in training optimal decision trees (ODT) using mixed-integer programs (MIP), due to algorithmic advances in integer programming and a growing interest in addressing the inherent suboptimality of…

机器学习 · 计算机科学 2020-11-09 Haoran Zhu , Pavankumar Murali , Dzung T. Phan , Lam M. Nguyen , Jayant R. Kalagnanam

It is desirable in many multi-objective machine learning applications, such as multi-task learning with conflicting objectives and multi-objective reinforcement learning, to find a Pareto solution that can match a given preference of a…

机器学习 · 计算机科学 2024-02-19 Xiaoyuan Zhang , Xi Lin , Qingfu Zhang

How to simultaneously locate multiple global peaks and achieve certain accuracy on the found peaks are two key challenges in solving multimodal optimization problems (MMOPs). In this paper, a landscape-aware differential evolution (LADE)…

神经与进化计算 · 计算机科学 2025-02-26 Guo-Yun Lin , Zong-Gan Chen , Chuanbin Liu , Yuncheng Jiang , Sam Kwong , Jun Zhang , Zhi-Hui Zhan

With the ever increasing complexity of specifications, manual sizing for analog circuits recently became very challenging. Especially for innovative, large-scale circuits designs, with tens of design variables, operating conditions and…

We consider the issue of intensification/diversification balance in the context of a memetic algorithm for the multiobjective optimization of investment portfolios with cardinality constraints. We approach this issue in this work by…

神经与进化计算 · 计算机科学 2024-12-06 Feijoo Colomine Durán , Carlos Cotta , Antonio J. Fernández-Leiva

Constrained multi-objective optimization problems (CMOPs) are ubiquitous in real-world engineering optimization scenarios. A key issue in constrained multi-objective optimization is to strike a balance among convergence, diversity and…

神经与进化计算 · 计算机科学 2021-03-12 Xinyu Shan , Ke Li

In this article, we introduce the interval optimization problems (IOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new…

最优化与控制 · 数学 2022-05-25 L. T. Nguyen , Y. L Chang , C. C Hu , J. S Chen

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

神经与进化计算 · 计算机科学 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

"Innovization" is a task of learning common relationships among some or all of the Pareto-optimal (PO) solutions in multi- and many-objective optimization problems. Recent studies have shown that a chronological sequence of non-dominated…

神经与进化计算 · 计算机科学 2026-05-07 Sukrit Mittal , Dhish Kumar Saxena , Kalyanmoy Deb , Erik Goodman

Feature selection plays a pivotal role in the data preprocessing and model-building pipeline, significantly enhancing model performance, interpretability, and resource efficiency across diverse domains. In population-based optimization…

Given a point in $m$-dimensional objective space, any $\varepsilon$-ball of a point can be partitioned into the incomparable, the dominated and dominating region. The ratio between the size of the incomparable region, and the dominated (and…

神经与进化计算 · 计算机科学 2020-06-22 Yali Wang , André Deutz , Thomas Bäck , Michael Emmerich

Solving constrained optimization problems by multi-objective evolutionary algorithms has scored tremendous achievements in the last decade. Standard multi-objective schemes usually aim at minimizing the objective function and also the…

神经与进化计算 · 计算机科学 2015-10-02 Tao Xu , Jun He

Population-based evolutionary algorithms have great potential to handle multiobjective optimisation problems. However, these algorithms depends largely on problem characteristics, and there is a need to improve their performance for a wider…

神经与进化计算 · 计算机科学 2019-10-17 Shouyong Jiang , Hongru Li , Jinglei Guo , Mingjun Zhong , Shengxiang Yang , Marcus Kaiser , Natalio Krasnogor

In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, a sequence of points is generated using different positive definite matrices in the generic framework. It is proved…

最优化与控制 · 数学 2022-07-18 Jian Chen , Gaoxi Li , Xinmin Yang

In this article we develop a gradient-based algorithm for the solution of multiobjective optimization problems with uncertainties. To this end, an additional condition is derived for the descent direction in order to account for…

最优化与控制 · 数学 2018-08-02 Sebastian Peitz , Michael Dellnitz

Technical indicators use graphic representations of data sets by applying various mathematical formulas to financial time series of prices. These formulas comprise a set of rules and parameters whose values are not necessarily known and…

神经与进化计算 · 计算机科学 2022-11-07 Francisco J. Soltero , Pablo Fernández-Blanco , J. Ignacio Hidalgo

Reliable out-of-distribution (OOD) detection is fundamental to implementing safer modern machine learning (ML) systems. In this paper, we introduce Igeood, an effective method for detecting OOD samples. Igeood applies to any pre-trained…

Current systems design optimisation methodologies are one-sided, as these ignore the socio-technical integration between stakeholder preferences ('what a human wants') and the capability of technical assets ('what a system can deliver').…

最优化与控制 · 数学 2024-01-18 Harold van Heukelum , Ruud Binnekamp , Rogier Wolfert