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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

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

Optimization and Control · Mathematics 2024-10-04 Hao Hao , Peter Zhang

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

Particle accelerators are enabling tools for scientific exploration and discovery in various disciplines. Finding optimized operation points for these complex machines is a challenging task, however, due to the large number of parameters…

Accelerator Physics · Physics 2021-07-02 Renato Bellotti , Romana Boiger , Andreas Adelmann

In general, a multi-objective optimization problem does not have a single optimal solution but a set of Pareto optimal solutions, which forms the Pareto front in the objective space. Various evolutionary algorithms have been proposed to…

Neural and Evolutionary Computing · Computer Science 2020-06-16 Hisao Ishibuchi , Lie Meng Pang , Ke Shang

Path planning is one of the most vital elements of mobile robotics, providing the agent with a collision-free route through the workspace. The global path plan can be calculated with a variety of informed search algorithms, most notably the…

Artificial Intelligence · Computer Science 2015-11-04 Alexander Lavin

Derivatives are an important tool for single-objective optimization. In fact, it is commonly accepted that derivative-based methods present a better performance than derivative-free optimization approaches. In this work, we will show that…

Optimization and Control · Mathematics 2021-02-16 R. Andreani , A. L. Custódio , M. Raydan

In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications. However, sensitivity distributions obtained from shape…

Computational Engineering, Finance, and Science · Computer Science 2023-10-04 Lars Radtke , Georgios Bletsos , Niklas Kühl , Tim Suchan , Thomas Rung , Alexander Düster , Kathrin Welker

Multi-Objective Alignment (MOA) aims to align LLMs' responses with multiple human preference objectives, with Direct Preference Optimization (DPO) emerging as a prominent approach. However, we find that DPO-based MOA approaches suffer from…

Machine Learning · Computer Science 2025-12-09 Moxin Li , Yuantao Zhang , Wenjie Wang , Wentao Shi , Zhuo Liu , Fuli Feng , Tat-Seng Chua

This work introduces MultiTRON, an approach that adapts Pareto front approximation techniques to multi-objective session-based recommender systems using a transformer neural network. Our approach optimizes trade-offs between key metrics…

Information Retrieval · Computer Science 2025-04-01 Timo Wilm , Philipp Normann , Felix Stepprath

This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate…

Information Theory · Computer Science 2025-03-14 Vojtech Neuman , Miloslav Capek , Lukas Jelinek

Given a point in $m$-dimensional objective space, any $\varepsilon$-ball of a point can be partitioned into the incomparable, the dominated and dominating region. The ratio between the size of the incomparable region, and the dominated (and…

Neural and Evolutionary Computing · Computer Science 2020-06-22 Yali Wang , André Deutz , Thomas Bäck , Michael Emmerich

Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

Machine Learning · Computer Science 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

In this paper, we consider black-box multiobjective optimization problems in which all objective functions are not given analytically. In multiobjective optimization, it is important to produce a set of uniformly distributed discrete…

Optimization and Control · Mathematics 2022-02-11 Kwang-Hui Ju , Ju-Song Kim

The quality of solution sets generated by decomposition-based evolutionary multiobjective optimisation (EMO) algorithms depends heavily on the consistency between a given problem's Pareto front shape and the specified weights' distribution.…

Neural and Evolutionary Computing · Computer Science 2017-09-11 Miqing Li , Xin Yao

Beam parameter optimization in accelerators involves multiple, sometimes competing objectives. Condensing these individual objectives into a single figure of merit unavoidably results in a bias towards particular outcomes, in absence of…

Accelerator Physics · Physics 2022-12-26 Faran Irshad , Stefan Karsch , Andreas Döpp

In multiobjective optimization, most branch and bound algorithms provide the decision maker with the whole Pareto front, and then decision maker could select a single solution finally. However, if the number of objectives is large, the…

Optimization and Control · Mathematics 2024-02-29 Weitian Wu , Xinmin Yang

In today's global business market place, individual firms no longer compete as independent entities with unique brand names but as integral part of supply chain links. Key to success of any business is satisfying customer's demands on time…

Optimization and Control · Mathematics 2014-08-05 Nelson Christopher Dzupire , Yaw Nkansah-Gyekye

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

Optimization and Control · Mathematics 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz
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