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We introduce new Gaussian Process (GP) high-order approximations to linear operations that are frequently used in various numerical methods. Our method employs the kernel-based GP regression modeling, a non-parametric Bayesian approach to…

Computational Physics · Physics 2025-06-09 Christopher DeGrendele , Dongwook Lee

Gaussian process (GP) models are widely used to emulate propagation uncertainty in computer experiments. GP emulation sits comfortably within an analytically tractable Bayesian framework. Apart from propagating uncertainty of the input…

Methodology · Statistics 2015-01-30 Silvia Montagna , Surya T. Tokdar

We present a generic evidential grid mapping pipeline designed for imaging sensors such as LiDARs and cameras. Our grid-based evidential model contains semantic estimates for cell occupancy and ground separately. We specify the estimation…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Sven Richter , Frank Bieder , Sascha Wirges , Christoph Stiller

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

Gaussian processes (GPs) are powerful but computationally expensive machine learning models, requiring an estimate of the kernel covariance matrix for every prediction. In large and complex domains, such as graphs, sets, or images, the…

Machine Learning · Computer Science 2022-04-22 Alessandro Tibo , Thomas Dyhre Nielsen

Real-time autonomous systems utilize multi-layer computational frameworks to perform critical tasks such as perception, goal finding, and path planning. Traditional methods implement perception using occupancy grid mapping (OGM), segmenting…

Robotics · Computer Science 2025-02-14 Shay Snyder , Ryan Shea , Andrew Capodieci , David Gorsich , Maryam Parsa

In exploration, the goal is to build a map of an unknown environment. Most state-of-the-art approaches use map representations that require drift-free state estimates to function properly. Real-world state estimators, however, exhibit…

Robotics · Computer Science 2019-09-05 Titus Cieslewski , Andreas Ziegler , Davide Scaramuzza

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…

Methodology · Statistics 2025-09-04 Jiawen Chen , Aritra Halder , Yun Li , Sudipto Banerjee , Didong Li

We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

Machine Learning · Statistics 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

The growing demand for accurate, efficient, and scalable solutions in computational mechanics highlights the need for advanced operator learning algorithms that can efficiently handle large datasets while providing reliable uncertainty…

Machine Learning · Statistics 2024-09-18 Sawan Kumar , Rajdip Nayek , Souvik Chakraborty

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

Robotics · Computer Science 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

Current remote sensing image classification problems have to deal with an unprecedented amount of heterogeneous and complex data sources. Upcoming missions will soon provide large data streams that will make land cover/use classification…

Machine Learning · Computer Science 2017-10-04 Pablo Morales-Alvarez , Adrian Perez-Suay , Rafael Molina , Gustau Camps-Valls

Geostatistics is a branch of statistics concerned with stochastic processes over continuous domains, with Gaussian processes (GPs) providing a flexible and principled modelling framework. However, the high computational cost of simulating…

Computation · Statistics 2026-03-20 Flávio B. Gonçalves , Marcos O. Prates , Gareth O. Roberts

Data-driven paradigms are well-known and salient demands of future wireless communication. Empowered by big data and machine learning, next-generation data-driven communication systems will be intelligent with the characteristics of…

Machine Learning · Computer Science 2021-06-01 Kai Chen , Qinglei Kong , Yijue Dai , Yue Xu , Feng Yin , Lexi Xu , Shuguang Cui

Exploration is a fundamental problem in robot autonomy. A major limitation, however, is that during exploration robots oftentimes have to rely on on-board systems alone for state estimation, accumulating significant drift over time in large…

Robotics · Computer Science 2021-04-15 Lukas Schmid , Victor Reijgwart , Lionel Ott , Juan Nieto , Roland Siegwart , Cesar Cadena

With the development of new remote sensing technology, large or even massive spatial datasets covering the globe become available. Statistical analysis of such data is challenging. This article proposes a semiparametric approach to model…

Methodology · Statistics 2019-10-24 Pulong Ma , Emily L. Kang

Planning safe paths is a major building block in robot autonomy. It has been an active field of research for several decades, with a plethora of planning methods. Planners can be generally categorised as either trajectory optimisers or…

Robotics · Computer Science 2017-05-18 Gilad Francis , Lionel Ott , Fabio Ramos

This paper proposes a framework for multi-robot systems to perform simultaneous learning and coverage of a domain of interest characterized by an unknown and potentially time-varying density function. To overcome the limitations of Gaussian…

Robotics · Computer Science 2025-11-11 Ruijie Du , Ruoyu Lin , Yanning Shen , Magnus Egerstedt

We consider the problem of time-limited robotic exploration in previously unseen environments where exploration is limited by a predefined amount of time. We propose a novel exploration approach using learning-augmented model-based…

Robotics · Computer Science 2023-08-10 Yimeng Li , Arnab Debnath , Gregory Stein , Jana Kosecka

Exploration of unknown environments is crucial for autonomous robots; it allows them to actively reason and decide on what new data to acquire for different tasks, such as mapping, object discovery, and environmental assessment. Existing…

Robotics · Computer Science 2025-05-09 Boyang Sun , Hanzhi Chen , Stefan Leutenegger , Cesar Cadena , Marc Pollefeys , Hermann Blum