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The large-scale multiobjective optimization problem (LSMOP) is characterized by simultaneously optimizing multiple conflicting objectives and involving hundreds of decision variables. Many real-world applications in engineering fields can…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Haokai Hong , Min Jiang , Gary G. Yen

Multi-objective optimization (MOO) is a well-studied problem for several important recommendation problems. While multiple approaches have been proposed, in this work, we focus on using constrained optimization formulations (e.g., quadratic…

Applications · Statistics 2016-02-16 Kinjal Basu , Ankan Saha , Shaunak Chatterjee

Combustion kinetic modeling is an integral part of combustion simulation, and extensive studies have been devoted to developing both high fidelity and computationally affordable models. Despite these efforts, modeling combustion kinetics is…

In the current paper, we present an optimization system solving multi objective production scheduling problems (MOOPPS). The identification of Pareto optimal alternatives or at least a close approximation of them is possible by a set of…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger

The goal of multi-objective optimisation is to identify a collection of points which describe the best possible trade-offs between the multiple objectives. In order to solve this vector-valued optimisation problem, practitioners often…

Optimization and Control · Mathematics 2025-05-09 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Thermodynamic models are often vital when characterising complex systems, particularly natural gas, electrolyte, polymer, pharmaceutical and biological systems. However, their implementations have historically been abstruse and cumbersome,…

Computational Physics · Physics 2025-06-26 Pierre J. Walker , Hon-Wa Yew , Andrés Riedemann

Multi-objective reinforcement learning (MORL) algorithms extend conventional reinforcement learning (RL) to the more general case of problems with multiple, conflicting objectives, represented by vector-valued rewards. Widely-used scalar RL…

Machine Learning · Computer Science 2026-04-23 Peter Vamplew , Ethan , Watkins , Cameron Foale , Richard Dazeley

This paper introduces the TulipaProfileFitting.jl package, a tool developed in Julia for generating renewable energy profiles that fit a specified capacity factor. It addresses the limitations of naive methods in adjusting existing profiles…

Optimization and Control · Mathematics 2024-08-28 Diego A. Tejada-Arango , Germán Morales-España , Abel S. Siqueira , Özge Özdemir

We describe a framework for solving a broad class of infinite-dimensional linear equations, consisting of almost banded operators, which can be used to resepresent linear ordinary differential equations with general boundary conditions. The…

Numerical Analysis · Mathematics 2014-09-22 Sheehan Olver , Alex Townsend

Large Language Models (LLMs) have garnered considerable attention owing to their remarkable capabilities, leading to an increasing number of companies offering LLMs as services. Different LLMs achieve different performance at different…

Software Engineering · Computer Science 2024-05-27 Yueyue Liu , Hongyu Zhang , Yuantian Miao , Van-Hoang Le , Zhiqiang Li

Linear operators and optimisation are at the core of many algorithms used in signal and image processing, remote sensing, and inverse problems. For small to medium-scale problems, existing software packages (e.g., MATLAB, Python numpy and…

Mathematical Software · Computer Science 2019-07-30 Matteo Ravasi , Ivan Vasconcelos

Folklore is often saying "The Java memory model is broken." Therefore, several approaches have proposed repairs, only to find new programs exhibiting unexpected, unintuitive behavior or the model forbidding standard compiler optimizations.…

Programming Languages · Computer Science 2026-04-20 Lukas Panneke , Heike Wehrheim

The hierarchical equations of motion (HEOM) approach can describe the reduced dynamics of a system simultaneously coupled to multiple bosonic and fermionic environments. The complexity of exactly describing the system-environment…

A traditional and intuitively appealing Multi-Task Multiple Kernel Learning (MT-MKL) method is to optimize the sum (thus, the average) of objective functions with (partially) shared kernel function, which allows information sharing amongst…

Machine Learning · Computer Science 2014-04-14 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

This paper proposes a pipeline for quantitatively evaluating interactive Large Language Models (LLMs) using publicly available datasets. We carry out an extensive technical evaluation of LLMs using Big-Vul covering four different common…

Software Engineering · Computer Science 2024-07-09 Xin Yin , Chao Ni , Shaohua Wang

In this paper, a tunneling method is developed for nonlinear multiobjective optimization problems using some ideas of the single objective tunneling method. The proposed method does not require any a priori chosen parameters or ordering…

Optimization and Control · Mathematics 2025-10-06 Bikram Adhikary , Md Abu Talhamainuddin Ansary

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

Multi-objective optimization is now a core paradigm in engineering design and scientific discovery. Yet mainstream evolutionary frameworks, including \textit{pymoo}, still depend on imperative coding for problem definition, algorithm…

Software Engineering · Computer Science 2026-03-03 Thiago Santos , Sebastiao Xavier , Luiz Gustavo de Oliveira Carneiro , Gustavo de Souza

LazySets.jl is a Julia library that provides ways to symbolically represent sets of points as geometric shapes, with a special focus on convex sets and polyhedral approximations. LazySets provides methods to apply common set operations,…

Mathematical Software · Computer Science 2022-05-04 Marcelo Forets , Christian Schilling

Heuristics are commonly used to tackle various search and optimization problems. Design heuristics usually require tedious manual crafting with domain knowledge. Recent works have incorporated Large Language Models (LLMs) into automatic…

Artificial Intelligence · Computer Science 2025-02-05 Shunyu Yao , Fei Liu , Xi Lin , Zhichao Lu , Zhenkun Wang , Qingfu Zhang