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This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian…

Artificial Intelligence · Computer Science 2025-08-08 Majid Mohammadi

In system analysis and design optimization, multiple computational models are typically available to represent a given physical system. These models can be broadly classified as high-fidelity models, which provide highly accurate…

Machine Learning · Computer Science 2024-11-01 Ruda Zhang , Negin Alemazkoor

Optimizing discrete black-box functions is key in several domains, e.g. protein engineering and drug design. Due to the lack of gradient information and the need for sample efficiency, Bayesian optimization is an ideal candidate for these…

The multi-level, multi-disciplinary and multi-fidelity optimization framework developed at Bombardier Aviation has shown great results to explore efficient and competitive aircraft configurations. This optimization framework has been…

Computational Engineering, Finance, and Science · Computer Science 2020-06-17 Remy Priem , Hugo Gagnon , Ian Chittick , Stephane Dufresne , Youssef Diouane , Nathalie Bartoli

Portfolio optimization has been a major topic of research in finance, as it has a significant impact on investment profit. In this paper, we investigate the problem of data uncertainty in convex multi-objective portfolio optimization. We…

Optimization and Control · Mathematics 2018-04-11 Amin Mohazab Rahimzadeh , Alireza Saranj

Machine learning (ML) methods offer a wide range of configurable hyperparameters that have a significant influence on their performance. While accuracy is a commonly used performance objective, in many settings, it is not sufficient.…

Machine Learning · Computer Science 2023-09-27 Romain Egele , Tyler Chang , Yixuan Sun , Venkatram Vishwanath , Prasanna Balaprakash

In many real world problems, optimization decisions have to be made with limited information. The decision maker may have no a priori or posteriori data about the often nonconvex objective function except from on a limited number of points…

Optimization and Control · Mathematics 2011-11-10 Tansu Alpcan

We propose a practical Bayesian optimization method using Gaussian process regression, of which the marginal likelihood is maximized where the number of model selection steps is guided by a pre-defined threshold. Since Bayesian optimization…

Machine Learning · Statistics 2020-10-19 Jungtaek Kim , Seungjin Choi

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

Machine Learning · Statistics 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

Bayesian optimization has been successfully applied throughout Chemical Engineering for the optimization of functions that are expensive-to-evaluate, or where gradients are not easily obtainable. However, domain experts often possess…

Human-Computer Interaction · Computer Science 2024-04-18 Tom Savage , Ehecatl Antonio del Rio Chanona

Bayesian probabilistic numerical methods are a set of tools providing posterior distributions on the output of numerical methods. The use of these methods is usually motivated by the fact that they can represent our uncertainty due to…

Computation · Statistics 2018-08-01 Xiaoyue Xi , François-Xavier Briol , Mark Girolami

Inferring viscoelasticity parameters is a key challenge that often leads to non-unique solutions when fitting rheological data. In this context, we propose a machine learning approach that utilizes Bayesian optimization for parameter…

Soft Condensed Matter · Physics 2025-02-27 Isaac Y. Miranda-Valdez , Tero Mäkinen , Juha Koivisto , Mikko J. Alava

In this study, we propose a novel multi-objective Bayesian optimization (MOBO) method to efficiently identify the Pareto front (PF) defined by risk measures for black-box functions under the presence of input uncertainty (IU). Existing BO…

Machine Learning · Statistics 2023-11-27 Yu Inatsu , Shion Takeno , Hiroyuki Hanada , Kazuki Iwata , Ichiro Takeuchi

The quest for precision in parameter estimation is a fundamental task in different scientific areas. The relevance of this problem thus provided the motivation to develop methods for the application of quantum resources to estimation…

Quantum Physics · Physics 2024-06-18 Valeria Cimini , Emanuele Polino , Mauro Valeri , Nicolò Spagnolo , Fabio Sciarrino

Within the framework of complex system design, it is often necessary to solve mixed variable optimization problems, in which the objective and constraint functions can depend simultaneously on continuous and discrete variables.…

Optimization and Control · Mathematics 2020-03-10 Julien Pelamatti , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

As machine learning becomes more prominent there is a growing demand to perform several inference tasks in parallel. Running a dedicated model for each task is computationally expensive and therefore there is a great interest in multi-task…

Machine Learning · Computer Science 2024-05-14 Idan Achituve , Idit Diamant , Arnon Netzer , Gal Chechik , Ethan Fetaya

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Machine Learning · Computer Science 2023-11-23 Ryota Ozaki , Kazuki Ishikawa , Youhei Kanzaki , Shinya Suzuki , Shion Takeno , Ichiro Takeuchi , Masayuki Karasuyama

Domain experts often possess valuable physical insights that are overlooked in fully automated decision-making processes such as Bayesian optimisation. In this article we apply high-throughput (batch) Bayesian optimisation alongside…

Machine Learning · Computer Science 2023-12-06 Tom Savage , Ehecatl Antonio del Rio Chanona

Recent work on Bayesian optimization has shown its effectiveness in global optimization of difficult black-box objective functions. Many real-world optimization problems of interest also have constraints which are unknown a priori. In this…

Machine Learning · Statistics 2014-03-25 Michael A. Gelbart , Jasper Snoek , Ryan P. Adams

Optimizing nonlinear systems involving expensive computer experiments with regard to conflicting objectives is a common challenge. When the number of experiments is severely restricted and/or when the number of objectives increases,…

Machine Learning · Statistics 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert
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