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Despite the widespread utilization of Gaussian process models for versatile nonparametric modeling, they exhibit limitations in effectively capturing abrupt changes in function smoothness and accommodating relationships with heteroscedastic…

Machine Learning · Statistics 2023-09-01 Taehee Lee , Jun S. Liu

The increasing complexity of the power grid, due to higher penetration of distributed resources and the growing availability of interconnected, distributed metering devices re- quires novel tools for providing a unified and consistent view…

Machine Learning · Statistics 2017-05-25 Francesco Fusco , Seshu Tirupathi , Robert Gormally

Since many physical laws -- from classical mechanics to electromagnetism -- are formulated as two-body interactions, the same perspective naturally extends to biological and social dynamics. Here we focus on rhythmic phenomena, where phase…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Ryosuke Yoneda , Haruma Furukawa , Daigo Fujiwara , Toshio Aoyagi

Resonances in open quantum systems depending on at least two controllable parameters can show the phenomenon of exceptional points (EPs), where not only the eigenvalues but also the eigenvectors of two or more resonances coalesce. Their…

Quantum Physics · Physics 2024-03-14 Patrick Egenlauf , Patric Rommel , Jörg Main

Ground Penetrating Radar (GPR) has emerged as a pivotal tool for non-destructive evaluation of subsurface road defects. However, conventional GPR image interpretation remains heavily reliant on subjective expertise, introducing…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Haotian Lv , Yuhui Zhang , Jiangbo Dai , Hanli Wu , Jiaji Wang , Dawei Wang

Gaussian splatting has gained attention for its efficient representation and rendering of 3D scenes using continuous Gaussian primitives. However, it struggles with sparse-view inputs due to limited geometric and photometric information,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Jianing Zhang , Yuchao Zheng , Ziwei Li , Qionghai Dai , Xiaoyun Yuan

Gaussian processes (GPs) are crucial in machine learning for quantifying uncertainty in predictions. However, their associated covariance matrices, defined by kernel functions, are typically dense and large-scale, posing significant…

Machine Learning · Computer Science 2025-04-02 Theresa Wagner , Tianshi Xu , Franziska Nestler , Yuanzhe Xi , Martin Stoll

This paper presents an efficient multi-fidelity Bayesian optimization approach for analog circuit synthesis. The proposed method can significantly reduce the overall computational cost by fusing the simple but potentially inaccurate…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Shuhan Zhang , Wenlong Lyu , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng , Xiangdong Hu

Koopman Operator Theory has opened the doors to data-driven learning of globally linear representations of complex nonlinear systems. However, current methodologies for Koopman Operator discovery struggle with uncertainty quantification and…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Abhigyan Majumdar , Navid Mojahed , Shima Nazari

Region-of-Interest (ROI)-based image compression allocates bits unevenly according to the semantic importance of different regions. Such differentiated coding typically induces a sharp-peaked and heavy-tailed distribution. This distribution…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Kai Hu , Junfu Tan , Fang Xu , Ramy Samy , Yu Liu

Scientists conduct large-scale simulations to compute derived quantities-of-interest (QoI) from primary data. Often, QoI are linked to specific features, regions, or time intervals, such that data can be adaptively reduced without…

Machine Learning · Computer Science 2024-05-03 Xiao Li , Qian Gong , Jaemoon Lee , Scott Klasky , Anand Rangarajan , Sanjay Ranka

The Kennedy and O'Hagan (KOH) calibration framework uses coupled Gaussian processes (GPs) to meta-model an expensive simulator (first GP), tune its ``knobs" (calibration inputs) to best match observations from a real physical/field…

Methodology · Statistics 2024-10-01 Scott Koermer , Justin Loda , Aaron Noble , Robert B. Gramacy

The cloud radio access network (C-RAN) is a promising paradigm to meet the stringent requirements of the fifth generation (5G) wireless systems. Meanwhile, wireless traffic prediction is a key enabler for C-RANs to improve both the spectrum…

Machine Learning · Computer Science 2020-03-03 Yue Xu , Feng Yin , Wenjun Xu , Jiaru Lin , Shuguang Cui

In many fields of science and engineering, models with different fidelities are available. Physical experiments or detailed simulations that accurately capture the behavior of the system are regarded as high-fidelity models with low model…

Machine Learning · Computer Science 2021-09-22 Chi Zhang , Chaolin Song , Abdollah Shafieezadeh

This paper considers the surrogate modeling of a complex numerical code in a multifidelity framework when the code output is a time series. Using an experimental design of the low-and high-fidelity code levels, an original Gaussian process…

Statistics Theory · Mathematics 2022-02-24 Baptiste Kerleguer

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

The integration of renewable energy sources (RES) into power grids presents significant challenges due to their intrinsic stochasticity and uncertainty, necessitating the development of new techniques for reliable and efficient forecasting.…

Machine Learning · Statistics 2024-09-13 Hanyu Zhang , Reza Zandehshahvar , Mathieu Tanneau , Pascal Van Hentenryck

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

Although distributed Gaussian process regression (GPR) enables multiple agents with separate datasets to jointly learn a model of the target function, its collaborative nature poses risks of private data leakage. To address this, we propose…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Yeongjun Jang , Kaoru Teranishi , Jihoon Suh , Takashi Tanaka

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

Machine Learning · Statistics 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner