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We propose a unifying framework for smoothed analysis of combinatorial local optimization problems, and show how a diverse selection of problems within the complexity class PLS can be cast within this model. This abstraction allows us to…

Computational Complexity · Computer Science 2025-09-24 Yiannis Giannakopoulos , Alexander Grosz , Themistoklis Melissourgos

Combinatorial optimization problems are encountered in many practical contexts such as logistics and production, but exact solutions are particularly difficult to find and usually NP-hard for considerable problem sizes. To compute…

Machine Learning · Computer Science 2023-05-22 Jonas K. Falkner , Daniela Thyssens , Ahmad Bdeir , Lars Schmidt-Thieme

Accurately predicting the performance of different optimization algorithms for previously unseen problem instances is crucial for high-performing algorithm selection and configuration techniques. In the context of numerical optimization,…

Neural and Evolutionary Computing · Computer Science 2021-04-23 Tome Eftimov , Anja Jankovic , Gorjan Popovski , Carola Doerr , Peter Korošec

To advance the field of autonomous robotics, particularly in object search tasks within unexplored environments, we introduce a novel framework centered around the Probable Object Location (POLo) score. Utilizing a 3D object probability…

Robotics · Computer Science 2023-11-15 Jiaming Wang , Harold Soh

Data and knowledge representation are fundamental concepts in machine learning. The quality of the representation impacts the performance of the learning model directly. Feature learning transforms or enhances raw data to structures that…

Artificial Intelligence · Computer Science 2021-04-26 Filipe Alves Neto Verri , Renato Tinós , Liang Zhao

This study concentrates on clustering problems and aims to find compact clusters that are informative regarding the outcome variable. The main goal is partitioning data points so that observations in each cluster are similar and the outcome…

Neural and Evolutionary Computing · Computer Science 2022-01-27 Zahra Ghasemi , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

In landscape-aware algorithm selection problem, the effectiveness of feature-based predictive models strongly depends on the representativeness of training data for practical applications. In this work, we investigate the potential of…

Machine Learning · Computer Science 2024-09-04 Fu Xing Long , Moritz Frenzel , Peter Krause , Markus Gitterle , Thomas Bäck , Niki van Stein

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…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Jiaqi Zhao , Vitor Basto Fernandes , Licheng Jiao , Iryna Yevseyeva , Asep Maulana , Rui Li , Thomas Bäck , Michael T. M. Emmerich

As the interest in multi- and many-objective optimization algorithms grows, the performance comparison of these algorithms becomes increasingly important. A large number of performance indicators for multi-objective optimization algorithms…

Artificial Intelligence · Computer Science 2024-11-28 Amin Ibrahim , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

The indicator-based subset selection problem (ISSP) involves finding a point subset that minimizes or maximizes a quality indicator. The ISSP is frequently found in evolutionary multi-objective optimization (EMO). An in-depth understanding…

Neural and Evolutionary Computing · Computer Science 2025-04-14 Keisuke Korogi , Ryoji Tanabe

Recent advances in Large Language Models (LLMs) have opened new perspectives for automation in optimization. While several studies have explored how LLMs can generate or solve optimization models, far less is understood about what these…

Artificial Intelligence · Computer Science 2025-12-16 Francesca Da Ros , Luca Di Gaspero , Kevin Roitero

Pareto Set Learning (PSL) is an emerging research area in multi-objective optimization, focusing on training neural networks to learn the mapping from preference vectors to Pareto optimal solutions. However, existing PSL methods are limited…

Machine Learning · Computer Science 2025-04-08 Chikai Shang , Rongguang Ye , Jiaqi Jiang , Fangqing Gu

Neural architecture search is a promising area of research dedicated to automating the design of neural network models. This field is rapidly growing, with a surge of methodologies ranging from Bayesian optimization,neuroevoltion, to…

Machine Learning · Computer Science 2024-10-28 Kalifou René Traoré , Andrés Camero , Xiao Xiang Zhu

In contrast to single-objective optimization (SOO), multi-objective optimization (MOO) requires an optimizer to find the Pareto frontier, a subset of feasible solutions that are not dominated by other feasible solutions. In this paper, we…

Machine Learning · Computer Science 2024-08-13 Yiyang Zhao , Linnan Wang , Kevin Yang , Tianjun Zhang , Tian Guo , Yuandong Tian

Recent advances in the visualization of continuous multimodal multi-objective optimization (MMMOO) landscapes brought a new perspective to their search dynamics. Locally efficient (LE) sets, often considered as traps for local search, are…

Optimization and Control · Mathematics 2022-04-25 Lennart Schäpermeier , Christian Grimme , Pascal Kerschke

Many optimization problems in science and engineering are highly nonlinear, and thus require sophisticated optimization techniques to solve. Traditional techniques such as gradient-based algorithms are mostly local search methods, and often…

Neural and Evolutionary Computing · Computer Science 2019-03-28 Xin-She Yang , Suash Deb , Sudhanshu K Mishra

Optimization methods play a crucial role in modern machine learning, powering the remarkable empirical achievements of deep learning models. These successes are even more remarkable given the complex non-convex nature of the loss landscape…

Machine Learning · Computer Science 2024-10-28 Rustem Islamov , Niccolò Ajroldi , Antonio Orvieto , Aurelien Lucchi

We describe an effective landscape introduced in [1] for the analysis of Constraint Satisfaction problems, such as Sphere Packing, K-SAT and Graph Coloring. This geometric construction reexpresses these problems in the more familiar terms…

Quantum Physics · Physics 2008-09-25 Florent Krzakala , Jorge Kurchan

Many real-world optimization problems can be stated in terms of submodular functions. Furthermore, these real-world problems often involve uncertainties which may lead to the violation of given constraints. A lot of evolutionary…

Neural and Evolutionary Computing · Computer Science 2024-11-04 Aneta Neumann , Frank Neumann

Recently, the property of connectedness has been claimed to give a strong motivation on the design of local search techniques for multiobjective combinatorial optimization (MOCO). Indeed, when connectedness holds, a basic Pareto local…

Neural and Evolutionary Computing · Computer Science 2012-07-20 Sébastien Verel , Arnaud Liefooghe , Jérémie Humeau , Laetitia Jourdan , Clarisse Dhaenens