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A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

Optimization and Control · Mathematics 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen

In the context of the optimization of rotating electric machines, many different objective functions are of interest and considering this during the optimization is of crucial importance. While evolutionary algorithms can provide a Pareto…

Optimization and Control · Mathematics 2024-04-19 Alessio Cesarano , Peter Gangl

Deploying machine learning (ML) models often requires both fairness and privacy guarantees. Both of these objectives present unique trade-offs with the utility (e.g., accuracy) of the model. However, the mutual interactions between…

Machine Learning · Computer Science 2023-02-21 Mohammad Yaghini , Patty Liu , Franziska Boenisch , Nicolas Papernot

The added value of machine learning for weather and climate applications is measurable through performance metrics, but explaining it remains challenging, particularly for large deep learning models. Inspired by climate model hierarchies,…

Computational Physics · Physics 2025-01-22 Tom Beucler , Arthur Grundner , Sara Shamekh , Peter Ukkonen , Matthew Chantry , Ryan Lagerquist

Multi-objective reinforcement learning (MORL) plays a pivotal role in addressing multi-criteria decision-making problems in the real world. The multi-policy (MP) based methods are widely used to obtain high-quality Pareto front…

Machine Learning · Computer Science 2025-08-05 Zeyu Zhao , Yueling Che , Kaichen Liu , Jian Li , Junmei Yao

This study develops a generalised multi-objective, multi-echelon supply chain optimisation model with non-stationary markets based on a Markov decision process, incorporating economic, environmental, and social considerations. The model is…

Artificial Intelligence · Computer Science 2025-07-29 Rifny Rachman , Josh Tingey , Richard Allmendinger , Pradyumn Shukla , Wei Pan

Multi-objective re-ranking has become a critical component of modern multi-stage recommender systems, as it tasked to balance multiple conflicting objectives such as accuracy, diversity, and fairness. Existing multi-objective re-ranking…

Information Retrieval · Computer Science 2026-03-24 Wei Zhou , Wuyang Li , Junkai Ji , Xueliang Li , Wenjing Hong , Zexuan Zhu , Xing Tang , Xiuqiang He

Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

Machine Learning · Computer Science 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Manufacturing advanced materials and products with a specific property or combination of properties is often warranted. To achieve that it is crucial to find out the optimum recipe or processing conditions that can generate the ideal…

Machine Learning · Computer Science 2023-04-20 Hamed Khosravi , Taofeeq Olajire , Ahmed Shoyeb Raihan , Imtiaz Ahmed

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

The task of multi-objective alignment aims at balancing and controlling the different alignment objectives (e.g., helpfulness, harmlessness and honesty) of large language models to meet the personalized requirements of different users.…

Computation and Language · Computer Science 2024-08-12 Tingchen Fu , Yupeng Hou , Julian McAuley , Rui Yan

This paper presents a PINN training framework that employs (1) pre-training steps that accelerates and improve the robustness of the training of physics-informed neural network with auxiliary data stored in point clouds, (2) a net-to-net…

Machine Learning · Computer Science 2021-07-27 Bahador Bahmani , WaiChing Sun

The article proposes an n-dimensional mathematical model of the visual representation of a linear programming problem. This model makes it possible to use artificial neural networks to solve multidimensional linear optimization problems,…

Optimization and Control · Mathematics 2022-08-18 Nikolay A. Olkhovsky , Leonid B. Sokolinsky

Many real-world optimisation problems involve multiple objectives. When considered concurrently, they give rise to a set of optimal trade-off solutions, also known as efficient solutions. These solutions have the property that neither…

Optimization and Control · Mathematics 2022-05-09 Duleabom An , Sophie N. Parragh , Markus Sinnl , Fabien Tricoire

When dealing with a multi-objective optimization problem, obtaining a comprehensive representation of the set of Pareto optimal solutions can be computationally expensive. However, identifying the most representative solutions can be…

Optimization and Control · Mathematics 2026-03-23 Tommaso Giovannelli , Marcos Medeiros Raimundo , Luis Nunes Vicente

Real-world decision-making tasks are generally complex, requiring trade-offs between multiple, often conflicting, objectives. Despite this, the majority of research in reinforcement learning and decision-theoretic planning either assumes…

Behavior of neural networks is irremediably determined by the specific loss and data used during training. However it is often desirable to tune the model at inference time based on external factors such as preferences of the user or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Matteo Maggioni , Thomas Tanay , Francesca Babiloni , Steven McDonagh , Aleš Leonardis

Neural networks have seen an explosion of usage and research in the past decade, particularly within the domains of computer vision and natural language processing. However, only recently have advancements in neural networks yielded…

Machine Learning · Computer Science 2022-07-20 Jacob Renn , Ian Sotnek , Benjamin Harvey , Brian Caffo

In addition to the best model architecture and hyperparameters, a full AutoML solution requires selecting appropriate hardware automatically. This can be framed as a multi-objective optimization problem: there is not a single best hardware…

Machine Learning · Computer Science 2021-06-11 David Salinas , Valerio Perrone , Olivier Cruchant , Cedric Archambeau

Multimodal learning methods with targeted unimodal learning objectives have exhibited their superior efficacy in alleviating the imbalanced multimodal learning problem. However, in this paper, we identify the previously ignored gradient…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Yake Wei , Di Hu