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Gaussian process regression (GPR) is a fundamental model used in machine learning. Owing to its accurate prediction with uncertainty and versatility in handling various data structures via kernels, GPR has been successfully used in various…

Machine Learning · Computer Science 2021-12-16 Yuya Yoshikawa , Tomoharu Iwata

Gaussian process regression (GPR) or kernel ridge regression is a widely used and powerful tool for nonlinear prediction. Therefore, active learning (AL) for GPR, which actively collects data labels to achieve an accurate prediction with…

We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on…

Numerical Analysis · Mathematics 2024-05-01 Paolo Villani , Jörg Unger , Martin Weiser

We present a new program implementation of the gaussian process regression adaptive density-guided approach [J. Chem. Phys. 153 (2020) 064105] in the MidasCpp program. A number of technical and methodological improvements made allowed us to…

Chemical Physics · Physics 2023-07-26 Denis G. Artiukhin , Ian H. Godtliebsen , Gunnar Schmitz , Ove Christiansen

We present an approach for continual learning (CL) that is based on fully probabilistic (or generative) models of machine learning. In contrast to, e.g., GANs that are "generative" in the sense that they can generate samples, fully…

Machine Learning · Computer Science 2021-04-20 Benedikt Pfülb , Alexander Gepperth , Benedikt Bagus

In this paper we propose a novel Bayesian solution for nonlinear regression in complex fields. Previous solutions for kernels methods usually assume a complexification approach, where the real-valued kernel is replaced by a complex-valued…

Machine Learning · Computer Science 2018-03-02 Rafael Boloix-Tortosa , Eva Arias-de-Reyna , F. Javier Payan-Somet , Juan J. Murillo-Fuentes

Adaptive sampling based on Gaussian process regression (GPR) has already been applied with considerable success to generate boundary test scenarios for multi-UAV systems (MUS). One of the key techniques in such researches is leveraging the…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Hanxu Jiang , Haiyue Yu , Xiaotong Xie , Qi Gao , Jiang Jiang , Jianbin Sun

Numerical simulation is powerful to study nonlinear solid mechanics problems. However, mesh-based or particle-based numerical methods suffer from the common shortcoming of being time-consuming, particularly for complex problems with…

Machine Learning · Statistics 2024-09-18 Ming-Jian Li , Yanping Lian , Zhanshan Cheng , Lehui Li , Zhidong Wang , Ruxin Gao , Daining Fang

In this work, we develop Gaussian process regression (GPR) models of hyperelastic material behavior. First, we consider the direct approach of modeling the components of the Cauchy stress tensor as a function of the components of the Finger…

Machine Learning · Statistics 2019-12-24 Ari Frankel , Reese Jones , Laura Swiler

Accurate channel state information (CSI) is critical for current and next-generation multi-antenna systems. Yet conventional pilot-based estimators incur prohibitive overhead as antenna counts grow. In this paper, we address this challenge…

Signal Processing · Electrical Eng. & Systems 2026-01-05 Syed Luqman Shah , Nurul Huda Mahmood , Italo Atzeni

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

With massive high-dimensional data now commonplace in research and industry, there is a strong and growing demand for more scalable computational techniques for data analysis and knowledge discovery. Key to turning these data into knowledge…

Data Structures and Algorithms · Computer Science 2016-06-17 Yasuo Tabei , Hiroto Saigo , Yoshihiro Yamanishi , Simon J. Puglisi

In this article, we evaluate the performance of a data-driven background estimate method based on Gaussian Process Regression (GPR). A realistic background spectrum from a search conducted by CMS is considered, where a large sub-region…

High Energy Physics - Experiment · Physics 2025-08-20 Jackson Barr , Bingxuan Liu

Design technology co-optimization (DTCO) plays a critical role in achieving optimal power, performance, and area (PPA) for advanced semiconductor process development. Cell library characterization is essential in DTCO flow, but traditional…

Machine Learning · Computer Science 2024-03-20 Tianliang Ma , Guangxi Fan , Zhihui Deng , Xuguang Sun , Kainlu Low , Leilai Shao

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

Complex-valued signals are used in the modeling of many systems in engineering and science, hence being of fundamental interest. Often, random complex-valued signals are considered to be proper. A proper complex random variable or process…

Machine Learning · Computer Science 2015-02-19 Rafael Boloix-Tortosa , F. Javier Payán-Somet , Eva Arias-de-Reyna , Juan José Murillo-Fuentes

This paper presents a new hybrid model for predicting German electricity prices. The algorithm is based on a combination of Gaussian Process Regression (GPR) and Support Vector Regression (SVR). Although GPR is a competent model for…

Machine Learning · Computer Science 2025-08-01 Abhinav Das , Stephan Schlüter , Lorenz Schneider

For the efficient and safe use of lithium-ion batteries, diagnosing their current state and predicting future states are crucial. Although there exist many models for the prediction of battery cycle life, they typically have very complex…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Seyeong Park , Jaewook Lee , Seongmin Heo

Gaussian process (GP) regression is a popular surrogate modeling tool for computer simulations in engineering and scientific domains. However, it often struggles with high computational costs and low prediction accuracy when the simulation…

Machine Learning · Computer Science 2025-02-25 Lulu Kang , Minshen Xu

Wireless power transfer (WPT) with coupled resonators offers a promising solution for the seamless powering of electronic devices. Interactive design approaches that visualize the magnetic field and power transfer efficiency based on system…

Applied Physics · Physics 2025-10-23 Yuichi Honjo , Cedric Caremel , Ken Takaki , Yuta Noma , Yoshihiro Kawahara , Takuya Sasatani
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