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Kriging-based surrogate models have become very popular during the last decades to approximate a computer code output from few simulations. In practical applications, it is very common to sequentially add new simulations to obtain more…

Statistics Theory · Mathematics 2012-10-31 Loic Le Gratiet , Claire Cannamela

We propose a surrogate-assisted reference vector adaptation (SRVA) method to solve expensive multi- and many-objective optimization problems with various Pareto front shapes. SRVA is coupled with a multi-objective Bayesian optimization…

Machine Learning · Computer Science 2021-10-12 Nobuo Namura

Feature selection plays a pivotal role in the data preprocessing and model-building pipeline, significantly enhancing model performance, interpretability, and resource efficiency across diverse domains. In population-based optimization…

Machine Learning · Computer Science 2024-08-20 Sevil Zanjani Miyandoab , Shahryar Rahnamayan , Azam Asilian Bidgoli , Sevda Ebrahimi , Masoud Makrehchi

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

Optimization and Control · Mathematics 2023-12-27 Rishabh Gupta , Qi Zhang

Surrogate-based optimization relies on so-called infill criteria (acquisition functions) to decide which point to evaluate next. When Kriging is used as the surrogate model of choice (also called Bayesian optimization), one of the most…

Neural and Evolutionary Computing · Computer Science 2020-02-18 Frederik Rehbach , Martin Zaefferer , Boris Naujoks , Thomas Bartz-Beielstein

A challenging problem in both engineering and computer science is that of minimising a function for which we have no mathematical formulation available, that is expensive to evaluate, and that contains continuous and integer variables, for…

Machine Learning · Computer Science 2021-07-28 Laurens Bliek , Arthur Guijt , Sicco Verwer , Mathijs de Weerdt

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

We consider bi-objective ranking and selection problems, where the goal is to correctly identify the Pareto optimal solutions among a finite set of candidates for which the two objective outcomes have been observed with uncertainty (e.g.,…

Machine Learning · Statistics 2024-03-29 Sebastian Rojas Gonzalez , Juergen Branke , Inneke van Nieuwenhuyse

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

Offline optimization is a fundamental challenge in science and engineering, where the goal is to optimize black-box functions using only offline datasets. This setting is particularly relevant when querying the objective function is…

Machine Learning · Computer Science 2026-01-07 Minsu Kim , Jiayao Gu , Ye Yuan , Taeyoung Yun , Zixuan Liu , Yoshua Bengio , Can Chen

We present a multi-objective evolutionary optimization algorithm that uses Gaussian process (GP) regression-based models to select trial solutions in a multi-generation iterative procedure. In each generation, a surrogate model is…

Neural and Evolutionary Computing · Computer Science 2020-05-22 Xiaobiao Huang , Minghao Song , Zhe Zhang

Chemical plant design and optimisation have proven challenging due to the complexity of these real-world systems. The resulting complexity translates into high computational costs for these systems' mathematical formulations and simulation…

Neural and Evolutionary Computing · Computer Science 2022-04-28 Liezl Stander , Matthew Woolway , Terence L. Van Zyl

Reliability-based design optimization (RBDO) is traditionally formulated as a nested optimization and reliability problem. Although surrogate models are generally employed to improve efficiency, the approach remains computationally…

Computation · Statistics 2026-04-08 M. Moustapha , B. Sudret

Algorithms developed for scheduling applications on heterogeneous multiprocessor system focus on asingle objective such as execution time, cost or total data transmission time. However, if more than oneobjective (e.g. execution cost and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-11 M. Rathna Devi , A. Anju

Hyperparameter optimization is the process of identifying the appropriate hyperparameter configuration of a given machine learning model with regard to a given learning task. For smaller data sets, an exhaustive search is possible; However,…

Machine Learning · Computer Science 2022-09-30 Blaž Škrlj , Adi Schwartz , Jure Ferlež , Davorin Kopič , Naama Ziporin

In this paper, we focus on developing efficient sensitivity analysis methods for a computationally expensive objective function $f(x)$ in the case that the minimization of it has just been performed. Here "computationally expensive" means…

Machine Learning · Statistics 2015-02-24 Yilun Wang , Christine A. Shoemaker

Optimization problems with nonlinear cost functions and combinatorial constraints appear in many real-world applications but remain challenging to solve efficiently compared to their linear counterparts. To bridge this gap, we propose…

Machine Learning · Computer Science 2023-07-20 Aaron Ferber , Taoan Huang , Daochen Zha , Martin Schubert , Benoit Steiner , Bistra Dilkina , Yuandong Tian

The content ranking problem in a social news website, is typically a function that maximizes a scalar metric of interest like dwell-time. However, like in most real-world applications we are interested in more than one metric---for instance…

Artificial Intelligence · Computer Science 2017-05-17 Jeya Balaji Balasubramanian , Akshay Soni , Yashar Mehdad , Nikolay Laptev

Metaheuristic search algorithms look for solutions that either maximise or minimise a set of objectives, such as cost or performance. However most real-world optimisation problems consist of nonlinear problems with complex constraints and…

Neural and Evolutionary Computing · Computer Science 2022-06-29 Manjinder Singh , Alexander E. I. Brownlee , David Cairns

Simulation of complex dynamical systems arising in many applications is computationally challenging due to their size and complexity. Model order reduction, machine learning, and other types of surrogate modeling techniques offer cheaper…

Numerical Analysis · Mathematics 2026-02-11 Steven Roberts , Andrey A Popov , Arash Sarshar , Adrian Sandu