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We propose an active learning method for discovering low-dimensional structure in high-dimensional Gaussian process (GP) tasks. Such problems are increasingly frequent and important, but have hitherto presented severe practical…

Machine Learning · Statistics 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

Autonomous vehicles commonly rely on highly detailed birds-eye-view maps of their environment, which capture both static elements of the scene such as road layout as well as dynamic elements such as other cars and pedestrians. Generating…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Thomas Roddick , Roberto Cipolla

In this work we study the problem of exploring surfaces and building compact 3D representations of the environment surrounding a robot through active perception. We propose an online probabilistic framework that merges visual and tactile…

Robotics · Computer Science 2018-02-14 Sergio Caccamo , Yasemin Bekiroglu , Carl Henrik Ek , Danica Kragic

A Gaussian Process GP based ground segmentation method is proposed in this paper which is fully developed in a probabilistic framework. The proposed method tends to obtain a continuous realistic model of the ground. The LiDAR…

Robotics · Computer Science 2021-11-23 Pouria Mehrabi , Hamid D. Taghirad

Gaussian Processes (GPs) are powerful non-parametric Bayesian models for regression of scalar fields, formulated under the assumption that measurement locations are perfectly known and the corresponding field measurements have Gaussian…

Robotics · Computer Science 2026-01-29 Muzaffar Qureshi , Tochukwu Elijah Ogri , Kyle Volle , Rushikesh Kamalapurkar

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

Robotics · Computer Science 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

Environment prediction frameworks are integral for autonomous vehicles, enabling safe navigation in dynamic environments. LiDAR generated occupancy grid maps (L-OGMs) offer a robust bird's eye-view scene representation that facilitates…

Robotics · Computer Science 2025-10-20 Bernard Lange , Masha Itkina , Mykel J. Kochenderfer

Anomalies in the ambient magnetic field can be used as features in indoor positioning and navigation. By using Maxwell's equations, we derive and present a Bayesian non-parametric probabilistic modeling approach for interpolation and…

Robotics · Computer Science 2018-03-22 Arno Solin , Manon Kok , Niklas Wahlström , Thomas B. Schön , Simo Särkkä

3D semantic occupancy prediction is an important task for robust vision-centric autonomous driving, which predicts fine-grained geometry and semantics of the surrounding scene. Most existing methods leverage dense grid-based scene…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Yuanhui Huang , Amonnut Thammatadatrakoon , Wenzhao Zheng , Yunpeng Zhang , Dalong Du , Jiwen Lu

The Gaussian process (GP) is a widely used probabilistic machine learning method with implicit uncertainty characterization for stochastic function approximation, stochastic modeling, and analyzing real-world measurements of nonlinear…

Machine Learning · Statistics 2026-04-14 Mark D. Risser , Marcus M. Noack , Hengrui Luo , Ronald Pandolfi

We propose a new method for automatically detecting monotonic input-output relationships from data using Gaussian Process (GP) models with virtual derivative observations. Our results on synthetic and real datasets show that the proposed…

Methodology · Statistics 2016-10-19 Eero Siivola , Juho Piironen , Aki Vehtari

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…

Machine Learning · Computer Science 2026-02-13 Jihao Andreas Lin , Sebastian Ament , Louis C. Tiao , David Eriksson , Maximilian Balandat , Eytan Bakshy

State-of-the-art navigation methods leverage a spatial memory to generalize to new environments, but their occupancy maps are limited to capturing the geometric structures directly observed by the agent. We propose occupancy anticipation,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Santhosh K. Ramakrishnan , Ziad Al-Halah , Kristen Grauman

Rapidly-exploring Random Trees (RRTs) are a popular technique for autonomous exploration of mobile robots. However, the random sampling used by RRTs can result in inefficient and inaccurate frontiers extraction, which affects the…

Robotics · Computer Science 2023-09-13 Dingfeng Chen , Anxing Xiao , Meiyuan Zou , Wenzheng Chi , Jiankun Wang , Lining Sun

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

Machine Learning · Computer Science 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

Machine Learning · Statistics 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

The rapid growth of earth observation systems calls for a scalable approach to interpolate remote-sensing observations. These methods in principle, should acquire more information about the observed field as data grows. Gaussian processes…

Machine Learning · Computer Science 2024-12-17 Weibin Chen , Azhir Mahmood , Michel Tsamados , So Takao

Autonomous racing creates challenging control problems, but Model Predictive Control (MPC) has made promising steps toward solving both the minimum lap-time problem and head-to-head racing. Yet, accurate models of the system are necessary…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Tommaso Benciolini , Chen Tang , Marion Leibold , Catherine Weaver , Masayoshi Tomizuka , Wei Zhan

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

Statistics Theory · Mathematics 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

In the context of autonomous robots, one of the most important tasks is to prevent potential damage to the robot during navigation. For this purpose, it is often assumed that one must deal with known probabilistic obstacles, then compute…

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