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An important task in multi-objective optimization is generating the Pareto front -- the set of all Pareto-optimal compromises among multiple objective functions applied to the same set of variables. Since this task can be computationally…

Quantum Physics · Physics 2025-11-04 Andrew D. King

Search-based software testing (SBST) is a widely adopted technique for testing complex systems with large input spaces, such as Deep Learning-enabled (DL-enabled) systems. Many SBST techniques focus on Pareto-based optimization, where…

Software Engineering · Computer Science 2024-10-17 Lev Sorokin , Damir Safin , Shiva Nejati

In single-objective optimization, it is well known that evolutionary algorithms also without further adjustments can tolerate a certain amount of noise in the evaluation of the objective function. In contrast, this question is not at all…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Matthieu Dinot , Benjamin Doerr , Ulysse Hennebelle , Sebastian Will

Fitness landscape analysis investigates features with a high influence on the performance of optimization algorithms, aiming to take advantage of the addressed problem characteristics. In this work, a fitness landscape analysis using…

Artificial Intelligence · Computer Science 2018-06-27 Marcella S. R. Martins , Mohamed El Yafrani , Roberto Santana , Myriam Delgado , Ricardo Lüders , Belaïd Ahiod

The Next Release Problem consists in selecting a subset of requirements to develop in the next release of a software product. The selection should be done in a way that maximizes the satisfaction of the stakeholders while the development…

Modern machine learning models are often constructed taking into account multiple objectives, e.g., minimizing inference time while also maximizing accuracy. Multi-objective hyperparameter optimization (MHPO) algorithms return such…

Machine Learning · Computer Science 2024-02-29 Matthias Feurer , Katharina Eggensperger , Edward Bergman , Florian Pfisterer , Bernd Bischl , Frank Hutter

We introduce Pareto-NRPA, a new Monte-Carlo algorithm designed for multi-objective optimization problems over discrete search spaces. Extending the Nested Rollout Policy Adaptation (NRPA) algorithm originally formulated for single-objective…

Artificial Intelligence · Computer Science 2025-11-04 Noé Lallouet , Tristan Cazenave , Cyrille Enderli

Most optimization-based community detection approaches formulate the problem in a single or bi-objective framework. In this paper, we propose two variants of a three-objective formulation using a customized non-dominated sorting genetic…

Neural and Evolutionary Computing · Computer Science 2020-05-08 Shaik Tanveer ul Huq , Vadlamani Ravi , Kalyanmoy Deb

Multi-objective AI planning suffers from a lack of benchmarks exhibiting known Pareto Fronts. In this work, we propose a tunable benchmark generator, together with a dedicated solver that provably computes the true Pareto front of the…

Artificial Intelligence · Computer Science 2023-05-01 Alexandre Quemy , Marc Schoenauer , Johann Dreo

Electric machine design optimization is a computationally expensive multi-objective optimization problem. While the objectives require time-consuming finite element analysis, optimization constraints can often be based on mathematical…

Neural and Evolutionary Computing · Computer Science 2022-06-06 Bhuvan Khoshoo , Julian Blank , Thang Q. Pham , Kalyanmoy Deb , Shanelle N. Foster

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…

Machine Learning · Computer Science 2024-02-19 Xiaoyuan Zhang , Xi Lin , Qingfu Zhang

The computational complexity analysis of genetic programming (GP) has been started recently by analyzing simple (1+1) GP algorithms for the problems ORDER and MAJORITY. In this paper, we study how taking the complexity as an additional…

Neural and Evolutionary Computing · Computer Science 2012-03-23 Frank Neumann

An important challenge in multi-objective reinforcement learning is obtaining a Pareto front of policies to attain optimal performance under different preferences. We introduce Iterated Pareto Referent Optimisation (IPRO), which decomposes…

Machine Learning · Computer Science 2025-02-07 Willem Röpke , Mathieu Reymond , Patrick Mannion , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

This paper presents an approach for the economic statistical design of the Cumulative Sum (CUSUM) control chart in a multi-objective optimization framework. The proposed methodology integrates economic considerations with statistical…

Applications · Statistics 2024-09-23 Sandeep , Arup Ranjan Mukhopadhyay

Feature selection is an expensive challenging task in machine learning and data mining aimed at removing irrelevant and redundant features. This contributes to an improvement in classification accuracy, as well as the budget and memory…

Machine Learning · Computer Science 2024-02-21 Sevil Zanjani Miyandoab , Shahryar Rahnamayan , Azam Asilian Bidgoli

The challenge of noisy multi-objective optimization lies in the constant trade-off between exploring new decision points and improving the precision of known points through resampling. This decision should take into account both the…

Machine Learning · Computer Science 2025-04-25 Timo Budszuhn , Mark Joachim Krallmann , Daniel Horn

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…

Machine Learning · Computer Science 2024-03-08 Ziyue Li , Tian Li , Virginia Smith , Jeff Bilmes , Tianyi Zhou

Deep learning models form one of the most powerful machine learning models for the extraction of important features. Most of the designs of deep neural models, i.e., the initialization of parameters, are still manually tuned. Hence,…

Machine Learning · Computer Science 2023-05-18 Mrittika Chakraborty , Wreetbhas Pal , Sanghamitra Bandyopadhyay , Ujjwal Maulik

Evolutionary algorithms (EAs) have emerged as a predominant approach for addressing multi-objective optimization problems. However, the theoretical foundation of multi-objective EAs (MOEAs), particularly the fundamental aspects like running…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Shengjie Ren , Chao Bian , Miqing Li , Chao Qian

When solving optimization problems with multiple objective functions we are often faced with the situation that one or several objective functions are non-convex or that we can not easily show the convexity of all functions involved. In…

Optimization and Control · Mathematics 2020-04-01 Kerstin Dächert , Katrin Teichert