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Aircraft aerodynamic design optimization must account for the varying operating conditions along the cruise segment as opposed to designing at one fixed operating condition, to arrive at more realistic designs. Conventional approaches…

最优化与控制 · 数学 2025-12-03 Kade Carlson , Ashwin Renganathan

In the past few decades, many multiobjective evolutionary optimization algorithms (MOEAs) have been proposed to find a finite set of approximate Pareto solutions for a given problem in a single run, each with its own structure. However, in…

神经与进化计算 · 计算机科学 2024-04-30 Xi Lin , Xiaoyuan Zhang , Zhiyuan Yang , Qingfu Zhang

We present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

最优化与控制 · 数学 2024-06-21 I. B. Wadhawan , M. M. Rizvi

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

计算金融 · 定量金融 2018-11-06 J. Martin van Zyl

Recently, there has been an increasing interest in the application of multiobjective optimization (MOO) in machine learning (ML). This interest is driven by the numerous real-life situations where multiple objectives must be optimized…

机器学习 · 计算机科学 2025-04-30 Junaid Akhter , Paul David Fährmann , Konstantin Sonntag , Sebastian Peitz , Daniel Schwietert

The article presents an approach to interactively solve multi-objective optimization problems. While the identification of efficient solutions is supported by computational intelligence techniques on the basis of local search, the search is…

人工智能 · 计算机科学 2008-09-05 Martin Josef Geiger

Efficiently solving multi-objective optimization problems for simulation optimization of important scientific and engineering applications such as materials design is becoming an increasingly important research topic. This is due largely to…

人工智能 · 计算机科学 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt

In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is the inconsistency of a given PCM. In such a situation it is important to…

最优化与控制 · 数学 2024-12-10 Marcin Anholcer , Janos Fülöp

Recently wide application in engineering-economic problems was received with problems of vector optimization. Development of methods of the decision of these problems it is executed in works A. Messac and others. Complexity of the offered…

最优化与控制 · 数学 2007-09-03 A. A. Bosov , G. N. Kodola , L. N. Savchenko

We present a new multi-objective optimization approach for synthesizing interpretations that "explain" the behavior of black-box machine learning models. Constructing human-understandable interpretations for black-box models often requires…

机器学习 · 计算机科学 2021-08-18 Hazem Torfah , Shetal Shah , Supratik Chakraborty , S. Akshay , Sanjit A. Seshia

In computational science workflows, it is often the case that 1) objective functions for optimization involve multiple simulation outputs, and 2) those simulations can be performed (at least partially) in parallel. In this work, we…

最优化与控制 · 数学 2026-05-28 Matt Menickelly

In this article, we propose a Newton-based method for solving multiobjective interval optimization problems (MIOPs). We first provide a connection between weakly Pareto optimal points and Pareto critical points in the context of MIOPs.…

最优化与控制 · 数学 2026-03-09 Tapas Mondal , Debdas Ghosh , Do Sang Kim

Variational inequalities are a universal optimization paradigm that incorporate classical minimization and saddle point problems. Nowadays more and more tasks require to consider stochastic formulations of optimization problems. In this…

In presence of multiple objectives to be optimized in Search-Based Software Engineering (SBSE), Pareto search has been commonly adopted. It searches for a good approximation of the problem's Pareto optimal solutions, from which the…

软件工程 · 计算机科学 2022-02-09 Tao Chen , Miqing Li

Model merging has emerged as an effective approach to combine multiple single-task models into a multitask model. This process typically involves computing a weighted average of the model parameters without any additional training. Existing…

机器学习 · 计算机科学 2025-04-28 Lu Li , Tianyu Zhang , Zhiqi Bu , Suyuchen Wang , Huan He , Jie Fu , Yonghui Wu , Jiang Bian , Yong Chen , Yoshua Bengio

We analyze a pointwise tracking multiobjective optimal control problem subject to the Poisson problem and bilateral control constraints. To approximate Pareto optimal points and the Pareto front numerically, we consider two different finite…

最优化与控制 · 数学 2025-05-21 Francisco Fuica , Stefan Volkwein

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

An inconsistent knowledge base can be abstracted as a set of arguments and a defeat relation among them. There can be more than one consistent way to evaluate such an argumentation graph. Collective argument evaluation is the problem of…

人工智能 · 计算机科学 2017-06-20 Edmond Awad , Martin Caminada , Gabriella Pigozzi , Mikołaj Podlaszewski , Iyad Rahwan

In multi-objective optimization, learning all the policies that reach Pareto-efficient solutions is an expensive process. The set of optimal policies can grow exponentially with the number of objectives, and recovering all solutions…

机器学习 · 计算机科学 2022-04-12 Mathieu Reymond , Eugenio Bargiacchi , Ann Nowé