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Gaussian Process (GP) regression is a powerful nonparametric Bayesian framework, but its performance depends critically on the choice of covariance kernel. Selecting an appropriate kernel is therefore central to model quality, yet remains…

Machine Learning · Computer Science 2026-01-14 Md Shafiqul Islam , Shakti Prasad Padhy , Douglas Allaire , Raymundo Arróyave

Approximate Bayesian computation (ABC) can be used for model fitting when the likelihood function is intractable but simulating from the model is feasible. However, even a single evaluation of a complex model may take several hours,…

Machine Learning · Statistics 2018-02-19 Marko Järvenpää , Michael Gutmann , Aki Vehtari , Pekka Marttinen

A Gaussian Process (GP) is a prominent mathematical framework for stochastic function approximation in science and engineering applications. This success is largely attributed to the GP's analytical tractability, robustness, non-parametric…

Machine Learning · Statistics 2022-05-19 Marcus M. Noack , Harinarayan Krishnan , Mark D. Risser , Kristofer G. Reyes

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

Machine Learning · Statistics 2018-01-10 Marton Havasi , José Miguel Hernández-Lobato , Juan José Murillo-Fuentes

3D Gaussian Splatting (3D-GS) has emerged as an efficient 3D representation and a promising foundation for semantic tasks like segmentation. However, existing 3D-GS-based segmentation methods typically rely on high-dimensional category…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 An Yang , Chenyu Liu , Jun Du , Jianqing Gao , Jia Pan , Jinshui Hu , Baocai Yin , Bing Yin , Cong Liu

In this paper we introduce a novel model for Gaussian process (GP) regression in the fully Bayesian setting. Motivated by the ideas of sparsification, localization and Bayesian additive modeling, our model is built around a recursive…

Statistics Theory · Mathematics 2022-06-06 Hengrui Luo , Giovanni Nattino , Matthew T. Pratola

This paper introduces a novel method to estimate distance fields from noisy point clouds using Gaussian Process (GP) regression. Distance fields, or distance functions, gained popularity for applications like point cloud registration,…

Robotics · Computer Science 2023-12-21 Cedric Le Gentil , Othmane-Latif Ouabi , Lan Wu , Cedric Pradalier , Teresa Vidal-Calleja

Grasp planning for multi-fingered hands is still a challenging task due to the high nonlinear quality metrics, the high dimensionality of hand posture configuration, and complex object shapes. Analytical-based grasp planning algorithms…

Robotics · Computer Science 2021-05-26 Jianjie Lin , Markus Rickert , Alois Knoll

Deep Gaussian Processes (DGPs) compose GP layers to warp inputs, enabling improved emulation of computer models with nonstationary input-output behavior compared with ordinary GPs. In contrast to GPs, the predictive uncertainty for DGP…

Computation · Statistics 2026-05-12 Yiming Yang , Deyu Ming , Serge Guillas

Gaussian Process (GP) regression is a flexible modeling technique used to predict outputs and to capture uncertainty in the predictions. However, the GP regression process becomes computationally intensive when the training spatial dataset…

Computation · Statistics 2024-09-19 Juliette Mukangango , Amanda Muyskens , Benjamin W. Priest

General robot skill adaptation requires expressive representations robust to varying task configurations. While recent learning-based skill adaptation methods refined via Reinforcement Learning (RL), have shown success, existing skill…

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are probabilistic and non-parametric…

Deep Gaussian process models typically employ discrete hierarchies, but recent advancements in differential Gaussian processes (DiffGPs) have extended these models to infinite depths. However, existing DiffGP approaches often overlook the…

Machine Learning · Computer Science 2025-12-16 Jian Xu , Zhiqi Lin , Min Chen , Junmei Yang , Delu Zeng , John Paisley

The techniques of precision agriculture include the possibility to execute crop monitoring tasks through the application of Unmanned Aerial Vehicles (UAVs). These platforms are flexible, easy to use and low-cost, and they are the best…

Systems and Control · Computer Science 2018-05-14 Martina Mammarella , Elisa Capello

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

Machine Learning · Computer Science 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

With the ever increasing complexity of specifications, manual sizing for analog circuits recently became very challenging. Especially for innovative, large-scale circuits designs, with tens of design variables, operating conditions and…

Machine Learning · Computer Science 2022-06-07 Catalin Visan , Octavian Pascu , Marius Stanescu , Elena-Diana Sandru , Cristian Diaconu , Andi Buzo , Georg Pelz , Horia Cucu

Applying agrochemicals is the default procedure for conventional weed control in crop production, but has negative impacts on the environment. Robots have the potential to treat every plant in the field individually and thus can reduce the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Philipp Lottes , Jens Behley , Nived Chebrolu , Andres Milioto , Cyrill Stachniss

Gaussian process models are commonly used as emulators for computer experiments. However, developing a Gaussian process emulator can be computationally prohibitive when the number of experimental samples is even moderately large. Local…

Methodology · Statistics 2018-09-26 Chih-Li Sung , Robert B. Gramacy , Benjamin Haaland

Gaussian Process Motion Planning (GPMP) is a widely used framework for generating smooth trajectories within a limited compute time--an essential requirement in many robotic applications. However, traditional GPMP approaches often struggle…

Robotics · Computer Science 2025-04-08 Jiayun Li , Kay Pompetzki , An Thai Le , Haolei Tong , Jan Peters , Georgia Chalvatzaki

This paper develops an in-depth treatment concerning the problem of approximating the Gaussian smoothing and Gaussian derivative computations in scale-space theory for application on discrete data. With close connections to previous…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Tony Lindeberg