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With advances in scientific computing and mathematical modeling, complex scientific phenomena such as galaxy formations and rocket propulsion can now be reliably simulated. Such simulations can however be very time-intensive, requiring…

统计方法学 · 统计学 2024-02-29 Yi Ji , Simon Mak , Derek Soeder , J-F Paquet , Steffen A. Bass

Gaussian processes (GPs) are Bayesian non-parametric models popular in a variety of applications due to their accuracy and native uncertainty quantification (UQ). Tuning GP hyperparameters is critical to ensure the validity of prediction…

机器学习 · 计算机科学 2022-11-03 Killian Wood , Alec M. Dunton , Amanda Muyskens , Benjamin W. Priest

Gaussian processes (GPs) are widely used as surrogate models for emulating computer code, which simulate complex physical phenomena. In many problems, additional boundary information (i.e., the behavior of the phenomena along input…

统计方法学 · 统计学 2019-08-26 Liang Ding , Simon Mak , C. F. Jeff Wu

The vast quantity of information brought by big data as well as the evolving computer hardware encourages success stories in the machine learning community. In the meanwhile, it poses challenges for the Gaussian process (GP) regression, a…

机器学习 · 统计学 2019-04-10 Haitao Liu , Yew-Soon Ong , Xiaobo Shen , Jianfei Cai

Model selection in Gaussian processes scales prohibitively with the size of the training dataset, both in time and memory. While many approximations exist, all incur inevitable approximation error. Recent work accounts for this error in the…

机器学习 · 计算机科学 2025-07-08 Jonathan Wenger , Kaiwen Wu , Philipp Hennig , Jacob R. Gardner , Geoff Pleiss , John P. Cunningham

In Gaussian Process (GP) dynamical model learning for robot control, particularly for systems constrained by computational resources like small quadrotors equipped with low-end processors, analyzing stability and designing a stable…

系统与控制 · 电气工程与系统科学 2024-06-05 Wenhan Cao , Alexandre Capone , Rishabh Yadav , Sandra Hirche , Wei Pan

Directed evolution is an iterative laboratory process of designing proteins with improved function by iteratively synthesizing new protein variants and evaluating their desired property with expensive and time-consuming biochemical…

机器学习 · 计算机科学 2025-09-08 Matouš Soldát , Jiří Kléma

This study introduces an innovative Gaussian Process (GP) model utilizing an ensemble kernel that integrates Radial Basis Function (RBF), Rational Quadratic, and Mat\'ern kernels for product sales forecasting. By applying Bayesian…

机器学习 · 计算机科学 2024-06-12 Shahin Mirshekari , Negin Hayeri Motedayen , Mohammad Ensaf

Gaussian process regression is a well-established Bayesian machine learning method. We propose a new approach to Gaussian process regression using quantum kernels based on parameterized quantum circuits. By employing a hardware-efficient…

量子物理 · 物理学 2024-02-06 Frederic Rapp , Marco Roth

Approach and landing accidents have resulted in a significant number of hull losses worldwide. Technologies (e.g., instrument landing system) and procedures (e.g., stabilized approach criteria) have been developed to reduce the risks. In…

机器学习 · 计算机科学 2021-08-03 Sim Kuan Goh , Narendra Pratap Singh , Zhi Jun Lim , Sameer Alam

Estimating causal effects in quasi-experiments with spatio-temporal panel data often requires adjusting for unmeasured confounding that varies across space and time. Gaussian Processes (GPs) offer a flexible, nonparametric modeling approach…

统计方法学 · 统计学 2025-07-08 Sofia L. Vega , Rachel C. Nethery

Accurate determination of fuel properties of complex mixtures over a wide range of pressure and temperature conditions is essential to utilizing alternative fuels. The present work aims to construct cheap-to-compute machine learning (ML)…

Finite element model updating utilizing frequency response functions as inputs is an important procedure in structural analysis, design and control. This paper presents a highly efficient framework that is built upon Gaussian process…

计算工程、金融与科学 · 计算机科学 2020-08-26 Kai Zhou , Jiong Tang

Protein-protein interactions drive many biological processes, including the detection of phytopathogens by plants' R-Proteins and cell surface receptors. Many machine learning studies have attempted to predict protein-protein interactions…

机器学习 · 计算机科学 2023-10-24 Ruth Veevers , Dan MacLean

Probabilistic models for sequential data are the basis for a variety of applications concerned with processing timely ordered information. The predominant approach in this domain is given by recurrent neural networks, implementing either an…

机器学习 · 统计学 2022-11-21 Ronny Hug , Stefan Becker , Wolfgang Hübner , Michael Arens , Jürgen Beyerer

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

系统与控制 · 计算机科学 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

The Gaussian graphical model is a widely used tool for learning gene regulatory networks with high-dimensional gene expression data. Most existing methods for Gaussian graphical models assume that the data are homogeneous, i.e., all samples…

统计方法学 · 统计学 2018-05-08 Bochao Jia , Faming Liang

We consider a Gaussian process formulation of the multiple kernel learning problem. The goal is to select the convex combination of kernel matrices that best explains the data and by doing so improve the generalisation on unseen data.…

机器学习 · 统计学 2011-10-25 Cedric Archambeau , Francis Bach

Quantifying the effects of amino acid mutations in proteins presents a significant challenge due to the vast combinations of residue sites and amino acid types, making experimental approaches costly and time-consuming. The Potts model has…

统计方法学 · 统计学 2025-05-22 Bingying Dai , Yinan Lin , Kejue Jia , Zhao Ren , Wen Zhou

Deep Gaussian processes (DGPs) provide a rich class of models that can better represent functions with varying regimes or sharp changes, compared to conventional GPs. In this work, we propose a novel inference method for DGPs for computer…

机器学习 · 统计学 2022-08-18 Deyu Ming , Daniel Williamson , Serge Guillas