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Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

应用统计 · 统计学 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

The recent accelerated growth in the computing power has generated popularization of experimentation with dynamic computer models in various physical and engineering applications. Despite the extensive statistical research in computer…

统计方法学 · 统计学 2018-10-18 Ru Zhang , Chunfang Devon Lin , Pritam Ranjan

Many machine learning problems can be framed in the context of estimating functions, and often these are time-dependent functions that are estimated in real-time as observations arrive. Gaussian processes (GPs) are an attractive choice for…

We introduce the Gaussian process (GP) modelling module developed within the UQLab software framework. The novel design of the GP-module aims at providing seamless integration of GP modelling into any uncertainty quantification workflow, as…

统计计算 · 统计学 2018-08-10 C. Lataniotis , S. Marelli , B. Sudret

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

机器人学 · 计算机科学 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

An important issue in quadcopter control is that an accurate dynamic model of the system is nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based estimation is an…

系统与控制 · 电气工程与系统科学 2021-12-23 Yuhan Liu , Roland Tóth

Surface roughness plays a critical role and has effects in, e.g. fluid dynamics or contact mechanics. For example, to evaluate fluid behavior at different roughness properties, real-world or numerical experiments are performed. Numerical…

信号处理 · 电气工程与系统科学 2023-03-07 Arsalan Jawaid , Jörg Seewig

As acute climate change impacts weather and climate variability, there is increased demand for robust climate impact model predictions from which forecasts of the impacts can be derived. The quality of those predictions are limited by the…

机器学习 · 计算机科学 2022-04-13 Julian Kuehnert , Deborah McGlynn , Sekou L. Remy , Aisha Walcott-Bryant , Anne Jones

Gaussian processes (GPs) are instrumental in modeling spatial processes, offering precise interpolation and prediction capabilities across fields such as environmental science and biology. Recently, there has been growing interest in…

统计方法学 · 统计学 2025-09-04 Jiawen Chen , Aritra Halder , Yun Li , Sudipto Banerjee , Didong Li

Gaussian processes (GPs) are powerful and widely used probabilistic regression models, but their effectiveness in practice is often limited by the choice of kernel function. This kernel function is typically handcrafted from a small set of…

机器学习 · 计算机科学 2026-02-13 Jihao Andreas Lin , Sebastian Ament , Louis C. Tiao , David Eriksson , Maximilian Balandat , Eytan Bakshy

Dynamic paired comparison models, such as Elo and Glicko, are frequently used for sports prediction and ranking players or teams. We present an alternative dynamic paired comparison model which uses a Gaussian Process (GP) as a prior for…

应用统计 · 统计学 2019-02-21 Martin Ingram

Gaussian Processes (GPs) provide a flexible and statistically principled foundation for modelling spatiotemporal phenomena, but their $O(N^3)$ scaling makes them intractable for large datasets. Approximate methods such as variational…

机器学习 · 统计学 2026-04-01 Jhonathan Navott , Daniel Jenson , Seth Flaxman , Elizaveta Semenova

Gaussian processes (GPs) are powerful tools for nonlinear classification in which latent GPs are combined with link functions. But GPs do not scale well to large training data. This is compounded for classification where the latent GPs…

统计计算 · 统计学 2025-01-28 Andrew Cooper , Annie S. Booth , Robert B. Gramacy

In simulation-based engineering design with time-consuming simulators, Gaussian process (GP) models are widely used as fast emulators to speed up the design optimization process. In its most commonly used form, the input of GP is a simple…

机器学习 · 计算机科学 2024-07-24 Xi Chen , Yashika Sharma , Hao Helen Zhang , Xin Hao , Qiang Zhou

Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these…

统计方法学 · 统计学 2023-05-04 Moses Y-H. Chan , Matthew Plumlee , Stefan M. Wild

Gaussian Processes (GPs) have been widely used in machine learning to model distributions over functions, with applications including multi-modal regression, time-series prediction, and few-shot learning. GPs are particularly useful in the…

Malaria remains a significant global health burden, particularly in resource-limited regions where timely and accurate diagnosis is critical to effective treatment and control. Deep Learning (DL) has emerged as a transformative tool for…

机器学习 · 计算机科学 2025-01-03 Kiswendsida Kisito Kabore , Desire Guel

Modeling sequential data has become more and more important in practice. Some applications are autonomous driving, virtual sensors and weather forecasting. To model such systems so called recurrent models are used. In this article we…

机器学习 · 统计学 2017-11-21 Roman Föll , Bernard Haasdonk , Markus Hanselmann , Holger Ulmer

Predicting the end-of-life or remaining useful life of batteries in electric vehicles is a critical and challenging problem, predominantly approached in recent years using machine learning to predict the evolution of the state-of-health…

机器学习 · 计算机科学 2023-06-05 Wei W. Xing , Ziyang Zhang , Akeel A. Shah

The use of surrogate models instead of computationally expensive simulation codes is very convenient in engineering. Roughly speaking, there are two kinds of surrogate models: the deterministic and the probabilistic ones. These last are…

应用统计 · 统计学 2015-12-24 Malek Ben Salem , Olivier Roustant , Fabrice Gamboa , Lionel Tomaso