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The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

Algorithmic support systems often return optimal solutions that are hard to understand. Effective human-algorithm collaboration, however, requires interpretability. When machine solutions are equally optimal, humans must select one, but a…

Human-Computer Interaction · Computer Science 2026-03-11 Dominik Pegler , Frank Jäkel , David Steyrl , Frank Scharnowski , Filip Melinscak

Designing a photometric system to best fulfil a set of scientific goals is a complex task, demanding a compromise between conflicting requirements and subject to various constraints. A specific example is the determination of stellar…

Astrophysics · Physics 2009-11-10 C. A. L. Bailer-Jones

The template design problem (TDP) is a hard combinatorial problem with a high number of symmetries which makes solving it more complicated. A number of techniques have been proposed in the literature to optimise its resolution, ranging from…

Neural and Evolutionary Computing · Computer Science 2024-11-22 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

We present a heuristic algorithm for solving the problem of scheduling plans of tasks. The plans are ordered vectors of tasks, and tasks are basic operations carried out by resources. Plans are tied by temporal, precedence and resource…

Artificial Intelligence · Computer Science 2021-02-09 Davide Andrea Guastella

Recent years have witnessed a fast-growing interest in computing explanations for Machine Learning (ML) models predictions. For non-interpretable ML models, the most commonly used approaches for computing explanations are heuristic in…

Machine Learning · Computer Science 2019-07-05 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva

Most optimization problems in real life applications are often highly nonlinear. Local optimization algorithms do not give the desired performance. So, only global optimization algorithms should be used to obtain optimal solutions. This…

Neural and Evolutionary Computing · Computer Science 2012-11-28 Mohammed El-Dosuky , Ahmed EL-Bassiouny , Taher Hamza , Magdy Rashad

Simple heuristics often show a remarkable performance in practice for optimization problems. Worst-case analysis often falls short of explaining this performance. Because of this, "beyond worst-case analysis" of algorithms has recently…

Data Structures and Algorithms · Computer Science 2020-02-28 Stefan Klootwijk , Bodo Manthey , Sander K. Visser

Innovation in synthetic biology often still depends on large-scale experimental trial-and-error, domain expertise, and ingenuity. The application of rational design engineering methods promise to make this more efficient, faster, cheaper…

Molecular Networks · Quantitative Biology 2021-08-18 Robyn P. Araujo , Sean T. Vittadello , Michael P. H. Stumpf

Planning as heuristic search is one of the most successful approaches to classical planning but unfortunately, it does not extend trivially to Generalized Planning (GP). GP aims to compute algorithmic solutions that are valid for a set of…

Artificial Intelligence · Computer Science 2023-01-27 Javier Segovia-Aguas , Sergio Jiménez , Anders Jonsson

Questions of `how best to acquire data' are essential to modeling and prediction in the natural and social sciences, engineering applications, and beyond. Optimal experimental design (OED) formalizes these questions and creates…

Methodology · Statistics 2026-05-01 Xun Huan , Jayanth Jagalur , Youssef Marzouk

For interior-point algorithms in linear programming, it is well-known that the selection of the centering parameter is crucial for proving polynomility in theory and for efficiency in practice. However, the selection of the centering…

Optimization and Control · Mathematics 2021-10-05 Yaguang Yang

Photonic inverse design typically seeks designs parameterized by binary arrays, where the values of each element correspond to the presence or absence of material at a particular point in space. Gradient-based approaches to photonic inverse…

Optics · Physics 2022-09-07 Zhaocheng Liu

We develop algorithms capable of tackling robust black-box optimisation problems, where the number of model runs is limited. When a desired solution cannot be implemented exactly the aim is to find a robust one, where the worst case in an…

Optimization and Control · Mathematics 2020-04-17 Martin Hughes , Marc Goerigk , Trivikram Dokka

An optimal heuristic logic is an effective method for finding the sum of all prime numbers up to a given number. This paper presents different approaches, namely, general method and optimal method which facilitate to compare the results and…

Data Structures and Algorithms · Computer Science 2013-06-27 P. Vasanth Sena

This study focuses on the energy optimization of industrial robotic cells, which is essential for sustainable production in the long term. A holistic approach that considers a robotic cell as a whole toward minimizing energy consumption is…

Robotics · Computer Science 2018-02-19 Libor Bukata , Přemysl Šůcha , Zdeněk Hanzálek , Pavel Burget

In this work, a heuristic as operational tool to estimate the lactate threshold and to facilitate its integration into the training process of recreational runners is proposed. To do so, we formalize the principles for the lactate threshold…

Applications · Statistics 2019-08-22 U. Etxegarai , E. Portillo , J. Irazusta , L. A. Koefoed , N. Kasabov

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

This paper addresses a prevailing assumption in single-agent heuristic search theory- that problem-solving algorithms should guarantee shortest-path solutions, which are typically called optimal. Optimality implies a metric for judging…

Artificial Intelligence · Computer Science 2013-04-10 Othar Hansson , Andy Mayer