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Multi-fidelity modeling and learning are important in physical simulation-related applications. It can leverage both low-fidelity and high-fidelity examples for training so as to reduce the cost of data generation while still achieving good…

Machine Learning · Computer Science 2022-10-25 Shibo Li , Zheng Wang , Robert M. Kirby , Shandian Zhe

The paper presents a new framework for complex Support Vector Regression as well as Support Vector Machines for quaternary classification. The method exploits the notion of widely linear estimation to model the input-out relation for…

Machine Learning · Computer Science 2016-11-15 Pantelis Bouboulis , Sergios Theodoridis , Charalampos Mavroforakis , Leoni Dalla

Hurricane-driven storm surge is one of the most deadly and costly natural disasters, making precise quantification of the surge hazard of great importance. Surge hazard quantification is often performed through physics-based computer models…

In this work we present a hybrid physics-based and data-driven learning approach to construct surrogate models for concurrent multiscale simulations of complex material behavior. We start from robust but inflexible physics-based…

Numerical Analysis · Mathematics 2023-02-01 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

We evaluate some methods designed for tensor- (or data-) based multivariate model construction (approximation and compression). To this aim, a collection of multivariate functions and an evaluation methodology are suggested. First, these…

Numerical Analysis · Mathematics 2026-02-10 Charles Poussot-Vassal , Ion Victor Gosea , Pierre Vuillemin , Athanasios C. Antoulas

There is a high interest in accelerating multiscale models using data-driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational…

Numerical Analysis · Mathematics 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

As data collection and simulation capabilities advance, multi-modal learning, the task of learning from multiple modalities and sources of data, is becoming an increasingly important area of research. Surrogate models that learn from data…

Machine Learning · Statistics 2026-05-13 Ian Taylor , Juliane Mueller , Julie Bessac

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

Machine Learning · Computer Science 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

Statistical significance testing of neural coherence is essential for distinguishing genuine cross-signal coupling from spurious correlations. A widely accepted approach uses surrogate-based inference, where null distributions are generated…

Signal Processing · Electrical Eng. & Systems 2026-05-13 Md Rakibul Mowla , Sukhbinder Kumar , Ariane E. Rhone , Brian J. Dlouhy , Christopher K. Kovach

Machine learning models of accelerator systems (`surrogate models') are able to provide fast, accurate predictions of accelerator physics phenomena. However, approaches to date typically do not include measured input diagnostics, such as…

Accelerator Physics · Physics 2021-04-06 Lipi Gupta , Auralee Edelen , Nicole Neveu , Aashwin Mishra , Christopher Mayes , Young-Kee Kim

We analyze a lightweight simulation-based inference method that infers simulator parameters using only a regression-based projection of the observed data. After fitting a surrogate linear regression once, the procedure simulates small…

Methodology · Statistics 2026-02-04 Arya Farahi , Jonah Rose , Paul Torrey

Kernel-based machine learning algorithms are based on mapping data from the original input feature space to a kernel feature space of higher dimensionality to solve a linear problem in that space. Over the last decade, kernel based…

Computer Vision and Pattern Recognition · Computer Science 2011-01-18 Mahesh Pal

We present an approximation scheme for support vector machine models that use an RBF kernel. A second-order Maclaurin series approximation is used for exponentials of inner products between support vectors and test instances. The…

Machine Learning · Statistics 2014-10-06 Marc Claesen , Frank De Smet , Johan A. K. Suykens , Bart De Moor

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…

Computer Vision and Pattern Recognition · Computer Science 2020-10-08 Haosu Zhou , Qingfeng Xu , Nan Li

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

Gravitational waveform templates are a key ingredient for the detection and characterization of gravitational waves emitted by compact binary mergers in the universe. These templates must be physically accurate and extensive, but also…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Christopher Whittall , Geraint Pratten

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

Statistics Theory · Mathematics 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

This paper introduces a novel two-stage machine learning-based surrogate modeling framework to address inverse problems in scientific and engineering fields. In the first stage of the proposed framework, a machine learning model termed the…

Machine Learning · Computer Science 2024-01-05 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Evan J. Pineda , Brett A. Bednarcyk , Scott E. Stapleton

Metasurface-based radar absorbing structures (RAS) are highly preferred for applications like stealth technology, electromagnetic (EM) shielding, etc. due to their capability to achieve frequency selective absorption characteristics with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Vineetha Joy , Aditya Anand , Nidhi , Anshuman Kumar , Amit Sethi , Hema Singh

In the context of structural health monitoring (SHM), the selection and extraction of damage-sensitive features from raw sensor recordings represent a critical step towards solving the inverse problem underlying the identification of…

Computational Engineering, Finance, and Science · Computer Science 2025-12-03 Matteo Torzoni , Andrea Manzoni , Stefano Mariani