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Industrial decision-makers often base decisions on mathematical optimization models to achieve cost-efficient design solutions in energy transitions. However, since a model can only approximate reality, the optimal solution is not…

Optimization and Control · Mathematics 2025-07-24 Hendrik Schricker , Benedikt Schuler , Christiane Reinert , Niklas von der Aßen

Recently, there has been an increasing interest in the application of multiobjective optimization (MOO) in machine learning (ML). This interest is driven by the numerous real-life situations where multiple objectives must be optimized…

Machine Learning · Computer Science 2025-04-30 Junaid Akhter , Paul David Fährmann , Konstantin Sonntag , Sebastian Peitz , Daniel Schwietert

Designing magnets for three-dimensional plasma confinement is a key task for advancing the stellarator as a fusion reactor concept. Stellarator magnets must produce an accurate field while leaving adequate room for other components and…

Plasma Physics · Physics 2025-03-12 K. C. Hammond

We present MOSS, a multi-objective optimization framework for constructing stable sets of decision rules. MOSS incorporates three important criteria for interpretability: sparsity, accuracy, and stability, into a single multi-objective…

Optimization and Control · Mathematics 2025-07-31 Brian Liu , Rahul Mazumder

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

In practical multi-criterion decision-making, it is cumbersome if a decision maker (DM) is asked to choose among a set of trade-off alternatives covering the whole Pareto-optimal front. This is a paradox in conventional evolutionary…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Ke Li , Guiyu Lai , Xin Yao

In the construction of a stellarator, the manufacturing and assembling of the coil system is a dominant cost. These coils need to satisfy strict engineering tolerances, and if those are not met the project could be canceled as in the case…

Plasma Physics · Physics 2022-05-04 Silke Glas , Misha Padidar , Ariel Kellison , David Bindel

It was recently shown in [Wechsung et. al., Proc. Natl. Acad. Sci. USA, 2022] that there exist electromagnetic coils that generate magnetic fields which are excellent approximations to quasi-symmetric fields and have very good particle…

Plasma Physics · Physics 2022-09-28 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

3D Mixed Reality interfaces have nearly unlimited space for layout placement, making automatic UI adaptation crucial for enhancing the user experience. Such adaptation is often formulated as a multi-objective optimization (MOO) problem,…

Human-Computer Interaction · Computer Science 2025-09-24 Yao Song , Christoph Gebhardt , Yi-Chi Liao , Christian Holz

For MIMO systems, due to the deployment of multiple antennas at both the transmitter and the receiver, the design variables e.g., precoders, equalizers, training sequences, etc. are usually matrices. It is well known that matrix operations…

Information Theory · Computer Science 2014-12-04 Chengwen Xing , Shaodan Ma , Yiqing Zhou

In computer-aided engineering design, the goal of a designer is to find an optimal design on a given requirement using the numerical simulator in loop with an optimization method. In this design optimization process, a good design…

Machine Learning · Computer Science 2023-03-01 Harsh Vardhan , Peter Volgyesi , Janos Sztipanovits

In this paper, an active control policy design for a fractional order (FO) financial system is attempted, considering multiple conflicting objectives. An active control template as a nonlinear state feedback mechanism is developed and the…

Optimization and Control · Mathematics 2016-11-30 Indranil Pan , Saptarshi Das , Shantanu Das

This paper presents a novel and lightweight hyperparameter optimization (HPO) method, MOdular FActorial Design (MOFA). MOFA pursues several rounds of HPO, where each round alternates between exploration of hyperparameter space by factorial…

Machine Learning · Computer Science 2021-06-04 Bo Xiong , Yimin Huang , Hanrong Ye , Steffen Staab , Zhenguo Li

Technical indicators use graphic representations of data sets by applying various mathematical formulas to financial time series of prices. These formulas comprise a set of rules and parameters whose values are not necessarily known and…

Neural and Evolutionary Computing · Computer Science 2022-11-07 Francisco J. Soltero , Pablo Fernández-Blanco , J. Ignacio Hidalgo

This research concerns a type of configuration optimization problems frequently encountered in engineering design and manufacturing, where the envelope volume in space occupied by a number of components needs to be minimized along with…

Computational Engineering, Finance, and Science · Computer Science 2017-06-13 Pei Cao , Zhaoyan Fan , Robert X. Gao , Jiong Tang

What is motivation and how does it work? Where do goals come from and how do they vary within and between species and individuals? Why do we prefer some things over others? MEDO is a theoretical framework for understanding these questions…

Neurons and Cognition · Quantitative Biology 2019-11-12 Adam Safron

The trade-offs between different mechanical properties of materials pose fundamental challenges in engineering material design, such as balancing stiffness versus toughness, weight versus energy-absorbing capacity, and among the various…

Neural and Evolutionary Computing · Computer Science 2025-03-14 Maohua Yan , Ruicheng Wang , Ke Liu

Model-based process design and operation involves here-and-now and wait-and-see decisions. Here-and-now decisions include design variables like the size of heat exchangers or the height of distillation columns, whereas wait-and-see…

Recent decades have witnessed great advancements in multiobjective evolutionary algorithms (MOEAs) for multiobjective optimization problems (MOPs). However, these progressively improved MOEAs have not necessarily been equipped with scalable…

Neural and Evolutionary Computing · Computer Science 2023-02-28 Songbai Liu , Qiuzhen Lin , Jianqiang Li , Kay Chen Tan

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