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We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

Optimization and Control · Mathematics 2023-10-30 Donato Maragno , Holly Wiberg , Dimitris Bertsimas , S. Ilker Birbil , Dick den Hertog , Adejuyigbe Fajemisin

Multi-fidelity models are of great importance due to their capability of fusing information coming from different numerical simulations, surrogates, and sensors. We focus on the approximation of high-dimensional scalar functions with low…

Numerical Analysis · Mathematics 2023-09-13 Francesco Romor , Marco Tezzele , Markus Mrosek , Carsten Othmer , Gianluigi Rozza

Many scientific and industrial applications require the joint optimization of multiple, potentially competing objectives. Multi-objective Bayesian optimization (MOBO) is a sample-efficient framework for identifying Pareto-optimal solutions.…

Machine Learning · Computer Science 2024-06-10 Ji Won Park , Nataša Tagasovska , Michael Maser , Stephen Ra , Kyunghyun Cho

In today's uncertain and competitive market, where enterprises are subjected to increasingly shortened product life-cycles and frequent volume changes, reconfigurable manufacturing systems (RMS) applications play a significant role in the…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Carlos Alberto Barrera-Diaz , Amir Nourmohammdi , Henrik Smedberg , Tehseen Aslam , Amos H. C. Ng

Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to…

Optimization and Control · Mathematics 2026-05-14 André L. Marchildon , David W. Zingg

Finite element (FE) simulations of structures and materials are getting increasingly more accurate, but also more computationally expensive as a collateral result. This development happens in parallel with a growing demand of data-driven…

Machine Learning · Computer Science 2025-07-31 Leo Guo , Hirak Kansara , Siamak F. Khosroshahi , GuoQi Zhang , Wei Tan

Multi-fidelity Bayesian Optimisation (MFBO) has been shown to generally converge faster than single-fidelity Bayesian Optimisation (SFBO) (Poloczek et al. (2017)). Inspired by recent benchmark papers, we are investigating the long-run…

Machine Learning · Computer Science 2023-12-21 Gbetondji J-S Dovonon , Jakob Zeitler

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori. All general (nonreal-valued) features of the systems are associated with…

Machine Learning · Computer Science 2020-01-06 Steven Atkinson , Sayan Ghosh , Natarajan Chennimalai-Kumar , Genghis Khan , Liping Wang

Efficiently solving multi-objective optimization problems for simulation optimization of important scientific and engineering applications such as materials design is becoming an increasingly important research topic. This is due largely to…

Artificial Intelligence · Computer Science 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt

Matrix factorization is a very common machine learning technique in recommender systems. Bayesian Matrix Factorization (BMF) algorithms would be attractive because of their ability to quantify uncertainty in their predictions and avoid…

Machine Learning · Computer Science 2020-04-15 Tom Vander Aa , Xiangju Qin , Paul Blomstedt , Roel Wuyts , Wilfried Verachtert , Samuel Kaski

The long runtime associated with simulating multidisciplinary systems challenges the use of Bayesian optimization for multidisciplinary design optimization (MDO). This is particularly the case if the coupled system is modeled in a…

Computational Engineering, Finance, and Science · Computer Science 2024-08-19 Susanna Baars , Jigar Parekh , Ihar Antonau , Philipp Bekemeyer , Ulrich Römer

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

Optimization and Control · Mathematics 2026-05-13 Trang H. Tran , Luis Nunes Vicente

Bayesian optimization in large unstructured discrete spaces is often hindered by the computational cost of maximizing acquisition functions due to the absence of gradients. We propose a scalable alternative based on Thompson sampling that…

Machine Learning · Computer Science 2026-03-02 Nicolas Menet , Aleksandar Terzić , Michael Hersche , Andreas Krause , Abbas Rahimi

We propose MUMBO, the first high-performing yet computationally efficient acquisition function for multi-task Bayesian optimization. Here, the challenge is to perform efficient optimization by evaluating low-cost functions somehow related…

Machine Learning · Computer Science 2020-06-23 Henry B. Moss , David S. Leslie , Paul Rayson

This paper tackles the multi-objective optimization of the cost functional of a path-following model predictive control for vehicle longitudinal and lateral control. While the inherent optimal character of the model predictive control and…

Robotics · Computer Science 2021-04-09 Ali Gharib , David Stenger , Robert Ritschel , Rick Voßwinkel

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

Machine Learning · Statistics 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

Well placement optimization is commonly performed using population-based global stochastic search algorithms. These optimizations are computationally expensive due to the large number of multiphase flow simulations that must be conducted.…

Geophysics · Physics 2021-11-05 Haoyu Tang , Louis J. Durlofsky

A variety of optimization algorithms have been developed to solve engineering design problems in which the solution space is too large to manually determine the optimal solution. The Modular Optimization Framework (MOF) was developed to…

Neural and Evolutionary Computing · Computer Science 2022-04-04 Brian Andersen , Gregory Delipei , David Kropaczek , Jason Hou

We study a federated version of multi-objective optimization (MOO), where a single model is trained to optimize multiple objective functions. MOO has been extensively studied in the centralized setting but is less explored in federated or…

Machine Learning · Computer Science 2025-04-22 Baris Askin , Pranay Sharma , Gauri Joshi , Carlee Joe-Wong

Balancing competing objectives is omnipresent across disciplines, from drug design to autonomous systems. Multi-objective Bayesian optimization is a promising solution for such expensive, black-box problems: it fits probabilistic surrogates…

Machine Learning · Computer Science 2026-05-13 Xinyu Zhang , Conor Hassan , Julien Martinelli , Daolang Huang , Samuel Kaski