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Stochastic First-Order (SFO) methods have been a cornerstone in addressing a broad spectrum of modern machine learning (ML) challenges. However, their efficacy is increasingly questioned, especially in large-scale applications where…

Machine Learning · Computer Science 2024-08-01 Di Zhang , Suvrajeet Sen

Monte Carlo (MC) sampling is a popular method for estimating the statistics (e.g. expectation and variance) of a random variable. Its slow convergence has led to the emergence of advanced techniques to reduce the variance of the MC…

Statistics Theory · Mathematics 2024-06-21 Mohamed Reda El Amri , Paul Mycek , Sophie Ricci , Matthias De Lozzo

In reliability engineering, conventional surrogate models encounter the "curse of dimensionality" as the number of random variables increases. While the active learning Kriging surrogate approaches with high-dimensional model representation…

Machine Learning · Computer Science 2025-09-10 Wenxiong Li , Hanyu Liao , Suiyin Chen

Designing an inexpensive approximate surrogate model that captures the salient features of an expensive high-fidelity behavior is a prevalent approach in design optimization. In recent times, Deep Learning (DL) models are being used as a…

Machine Learning · Computer Science 2022-07-12 Harsh Vardhan , Janos Sztipanovits

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

Nowadays Big Data are becoming more and more important. Many sectors of our economy are now guided by data-driven decision processes. Big Data and business intelligence applications are facilitated by the MapReduce programming model while,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Alessandro Maria Rizzi

Supervised machine learning describes the practice of fitting a parameterized model to labeled input-output data. Supervised machine learning methods have demonstrated promise in learning efficient surrogate models that can (partially)…

Machine Learning · Statistics 2026-03-24 Atticus Rex , Elizabeth Qian , David Peterson

Support vector machine modeling is a new approach in machine learning for classification showing good performance on forecasting problems of small samples and high dimensions. Later, it promoted to Support Vector Regression (SVR) for…

Machine Learning · Computer Science 2021-03-23 Mohammadreza Ghanbari , Mahdi Goldani

All kinds of simulations of the intergalactic medium, such as hydrodynamic simulation, N-body simulation, numerical and semi-numerical simulation, etc., have been used to realize the history of this medium. In addition, emulators also have…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-03 Mahsa Berahman , Seyed Sajad Tabasi , Javad T. Firouzjaee , S. Mobina Hosseini

Testing and evaluation are expensive but critical steps in the development of connected and automated vehicles (CAVs). In this paper, we develop an adaptive sampling framework to efficiently evaluate the accident rate of CAVs, particularly…

Robotics · Computer Science 2023-06-02 Xianliang Gong , Shuo Feng , Yulin Pan

Risk assessment of hurricane-driven storm surge relies on deterministic computer models that produce outputs over a large spatial domain. The surge models can often be run at a range of fidelity levels, with greater precision yielding more…

Methodology · Statistics 2026-03-31 Cyrus S. McCrimmon , Pulong Ma

In statistical modeling with Gaussian Process regression, it has been shown that combining (few) high-fidelity data with (many) low-fidelity data can enhance prediction accuracy, compared to prediction based on the few high-fidelity data…

Machine Learning · Statistics 2019-04-23 Seungjoon Lee , Felix Dietrich , George E. Karniadakis , Ioannis G. Kevrekidis

Computational Fluid Dynamics (CFD)-driven training combines machine learning (ML) with CFD solvers to develop physically consistent closure models with improved predictive accuracy. In the original framework, each ML-generated candidate…

Machine Learning · Computer Science 2025-12-23 Yuan Fang , Fabian Waschkowski , Maximilian Reissmann , Richard D. Sandberg , Takuo Oda , Koichi Tanimoto

This paper studies the addition of linear constraints to the Support Vector Regression (SVR) when the kernel is linear. Adding those constraints into the problem allows to add prior knowledge on the estimator obtained, such as finding…

Optimization and Control · Mathematics 2019-11-07 Quentin Klopfenstein , Samuel Vaiter

The Gaussian Process (GP)-based surrogate model has the inherent capability of capturing the anomaly arising from limited data, lack of data, missing data, and data inconsistencies (noisy/erroneous data) present in the modeling and…

Computation · Statistics 2022-11-07 Kazuma Kobayashi , James Daniell , Shoaib Usman , Dinesh Kumar , Syed Alam

Hierarchical support vector regression (HSVR) models a function from data as a linear combination of SVR models at a range of scales, starting at a coarse scale and moving to finer scales as the hierarchy continues. In the original…

Machine Learning · Computer Science 2021-02-03 Ryan Mohr , Maria Fonoberova , Zlatko Drmač , Iva Manojlović , Igor Mezić

Outer loop tasks such as optimization, uncertainty quantification or inference can easily become intractable when the underlying high-fidelity model is computationally expensive. Similarly, data-driven architectures typically require large…

Machine Learning · Computer Science 2025-12-03 Cristian J. Villatoro , Gianluca Geraci , Daniele E. Schiavazzi

Data-driven surrogate models are increasingly adopted to accelerate vehicle design. However, open-source multi-fidelity datasets and empirical guidelines linking dataset size to model performance remain limited. This study investigates the…

Machine Learning · Computer Science 2026-01-21 Yiren Shen , Juan J. Alonso

In explainable AI, surrogate models are commonly evaluated by their fidelity to a neural network's predictions. Fidelity, however, measures alignment to a learned model rather than alignment to the data-generating signal underlying the…

Machine Learning · Computer Science 2026-04-21 Jackson Eshbaugh

This paper develops mfEGRA, a multifidelity active learning method using data-driven adaptively refined surrogates for failure boundary location in reliability analysis. This work addresses the issue of prohibitive cost of reliability…

Machine Learning · Statistics 2024-06-18 Anirban Chaudhuri , Alexandre N. Marques , Karen E. Willcox
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