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High-fidelity simulation models are widely used to analyze complex stochastic systems, but their high computational cost motivates the development of cheaper surrogate models that approximate the simulation model's input-output…

机器学习 · 统计学 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

Variational quantum algorithms are a class of techniques intended to be used on near-term quantum computers. The goal of these algorithms is to perform large quantum computations by breaking the problem down into a large number of shallow…

量子物理 · 物理学 2023-03-24 Ryan Shaffer , Lucas Kocia , Mohan Sarovar

Bayesian optimization has attracted huge attention from diverse research areas in science and engineering, since it is capable of efficiently finding a global optimum of an expensive-to-evaluate black-box function. In general, a…

机器学习 · 计算机科学 2025-07-29 Jungtaek Kim

The spatiotemporal resolution of Partial Differential Equations (PDEs) plays important roles in the mathematical description of the world's physical phenomena. In general, scientists and engineers solve PDEs numerically by the use of…

人工智能 · 计算机科学 2023-06-29 Lucas Meyer , Marc Schouler , Robert Alexander Caulk , Alejandro Ribés , Bruno Raffin

The high computational cost of phase field simulations remains a major limitation for predicting dendritic solidification in metals, particularly in additive manufacturing, where microstructural control is critical. This work presents a…

One method to solve expensive black-box optimization problems is to use a surrogate model that approximates the objective based on previous observed evaluations. The surrogate, which is cheaper to evaluate, is optimized instead to find an…

最优化与控制 · 数学 2021-05-28 Rickard Karlsson , Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

In the design optimization of metal forming, it is increasingly significant to use surrogate models to analyse the finite element analysis (FEA) simulations. However, traditional surrogate models using scalar based machine learning methods…

计算机视觉与模式识别 · 计算机科学 2020-10-08 Haosu Zhou , Qingfeng Xu , Nan Li

Complex computational models are often designed to simulate real-world physical phenomena in many scientific disciplines. However, these simulation models tend to be computationally very expensive and involve a large number of simulation…

人机交互 · 计算机科学 2019-10-18 Subhashis Hazarika , Haoyu Li , Ko-Chih Wang , Han-Wei Shen , Ching-Shan Chou

We present a Bayesian surrogate model for the analysis of periodic or quasi-periodic time series data. We describe a computationally efficient implementation that enables Bayesian model comparison. We apply this model to simulated and real…

统计方法学 · 统计学 2011-07-21 Eric B. Ford , Althea V. Moorhead , Dimitri Veras

Surrogate modeling is a powerful methodology in chemical process engineering, frequently employed to accelerate optimization tasks where traditional flowsheet simulators are computationally prohibitive. However, the state-of-the-art is…

计算工程、金融与科学 · 计算机科学 2025-09-30 Martin Bubel , Tobias Seidel , Michael Bortz

Bayesian optimization (BO) has well-documented merits for optimizing black-box functions with an expensive evaluation cost. Such functions emerge in applications as diverse as hyperparameter tuning, drug discovery, and robotics. BO hinges…

机器学习 · 统计学 2026-05-28 Qin Lu , Konstantinos D. Polyzos , Bingcong Li , Georgios B. Giannakis

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

机器学习 · 统计学 2022-01-20 Akshay Thakur , Souvik Chakraborty

We propose a general framework for machine learning based optimization under uncertainty. Our approach replaces the complex forward model by a surrogate, which is learned simultaneously in a one-shot sense when solving the optimal control…

最优化与控制 · 数学 2023-12-25 Philipp A. Guth , Claudia Schillings , Simon Weissmann

The article addresses the application of unsupervised machine learning to represent variables on the 2D latent space by applying a variational autoencoder (beta-VAE). Representation of variables on low dimensional spaces allows for data…

机器学习 · 计算机科学 2024-10-29 Alex Glushkovsky

Decision-making in manufacturing often involves optimizing key process parameters using data collected from simulation experiments. Gaussian processes are widely used to surrogate the underlying system and guide optimization. Uncertainty…

应用统计 · 统计学 2025-07-30 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

Derivation of the probability density evolution provides invaluable insight into the behavior of many stochastic systems and their performance. However, for most real-time applica-tions, numerical determination of the probability density…

机器学习 · 计算机科学 2022-07-06 Seid H. Pourtakdoust , Amir H. Khodabakhsh

AI-assisted molecular optimization is a very active research field as it is expected to provide the next-generation drugs and molecular materials. An important difficulty is that the properties to be optimized rely on costly evaluations.…

机器学习 · 计算机科学 2025-05-19 Jules Leguy , Thomas Cauchy , Beatrice Duval , Benoit Da Mota

Bayesian model selection provides a natural alternative to classical hypothesis testing based on p-values. While many papers mention that Bayesian model selection is frequently sensitive to prior specification on the parameters, there are…

统计方法学 · 统计学 2024-02-27 Christopher T. Franck , Robert B. Gramacy

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

机器学习 · 统计学 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

This paper presents a novel methodology that uses surrogate models in the form of neural networks to reduce the computation time of simulation-based optimization of a reference trajectory. Simulation-based optimization is necessary when…

最优化与控制 · 数学 2023-03-31 Evelyn Ruff , Rebecca Russell , Matthew Stoeckle , Piero Miotto , Jonathan P. How