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We study an informative path-planning problem where the goal is to minimize the time required to learn a spatially varying entity. We use Gaussian Process (GP) regression for learning the underlying field. Our goal is to ensure that the GP…

Robotics · Computer Science 2020-03-10 Varun Suryan , Pratap Tokekar

This tutorial provides a systematic introduction to Gaussian process learning-based model predictive control (GP-MPC), an advanced approach integrating Gaussian process (GP) with model predictive control (MPC) for enhanced control in…

Robotics · Computer Science 2024-04-08 Jie Wang , Youmin Zhang

Mapping with uncertainty representation is required in many research domains, especially for localization. Although there are many investigations regarding the uncertainty of the pose estimation of an ego-robot with map information, the…

Robotics · Computer Science 2023-08-30 Qianqian Zou , Claus Brenner , Monika Sester

Earth Observation (EO) provides critical planetary data for environmental monitoring, disaster management, climate science, and other scientific domains. Here we ask: Are AI systems ready for reliable Earth Observation? We introduce…

Due to the increasing complexity of technical systems, accurate first principle models can often not be obtained. Supervised machine learning can mitigate this issue by inferring models from measurement data. Gaussian process regression is…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Armin Lederer , Jonas Umlauft , Sandra Hirche

Data-driven approaches achieve remarkable results for the modeling of complex dynamics based on collected data. However, these models often neglect basic physical principles which determine the behavior of any real-world system. This…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Thomas Beckers , Jacob Seidman , Paris Perdikaris , George J. Pappas

For many survey-based spatial modelling problems, responses are observed as spatially aggregated over survey regions due to limited resources. Covariates, from weather models and satellite imageries, can be observed at many different…

Applications · Statistics 2022-04-04 Harrison Zhu , Adam Howes , Owen van Eer , Maxime Rischard , Yingzhen Li , Dino Sejdinovic , Seth Flaxman

The accurate prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the variances. Moreover, function…

Methodology · Statistics 2014-02-14 Yue Wu , Jose Miguel Hernandez Lobato , Zoubin Ghahramani

Recent advances in Computer Vision have introduced the concept of pretrained representation uncertainty, enabling zero-shot uncertainty estimation. This holds significant potential for Earth Observation (EO), where trustworthiness is…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Spyros Kondylatos , Nikolaos Ioannis Bountos , Dimitrios Michail , Xiao Xiang Zhu , Gustau Camps-Valls , Ioannis Papoutsis

Gaussian processes are one of the dominant approaches in Bayesian learning. Although the approach has been applied to numerous problems with great success, it has a few fundamental limitations. Multiple methods in literature have addressed…

Machine Learning · Computer Science 2021-06-24 Kalvik Jakkala

Carefully curated and annotated datasets are the foundation of machine learning, with particularly data-hungry deep neural networks forming the core of what is often called Artificial Intelligence (AI). Due to the massive success of deep…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Michael Schmitt , Seyed Ali Ahmadi , Yonghao Xu , Gulsen Taskin , Ujjwal Verma , Francescopaolo Sica , Ronny Hansch

Temporal variations of apparent magnitude, called light curves, are observational statistics of interest captured by telescopes over long periods of time. Light curves afford the exploration of Space Domain Awareness (SDA) objectives such…

Instrumentation and Methods for Astrophysics · Physics 2022-09-01 Imène R. Goumiri , Alec M. Dunton , Amanda L. Muyskens , Benjamin W. Priest , Robert E. Armstrong

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

Traffic speed is a key indicator for the efficiency of an urban transportation system. Accurate modeling of the spatiotemporally varying traffic speed thus plays a crucial role in urban planning and development. This paper addresses the…

Artificial Intelligence · Computer Science 2017-08-29 Truc Viet Le , Richard J. Oentaryo , Siyuan Liu , Hoong Chuin Lau

Paleoclimatology -- the study of past climate -- is relevant beyond climate science itself, such as in archaeology and anthropology for understanding past human dispersal. Information about the Earth's paleoclimate comes from simulations of…

Machine Learning · Computer Science 2022-11-16 Seth D. Axen , Alexandra Gessner , Christian Sommer , Nils Weitzel , Álvaro Tejero-Cantero

Detecting changes on the Earth, such as urban development, deforestation, or natural disaster, is one of the research fields that is attracting a great deal of attention. One promising tool to solve these problems is satellite imagery.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Waku Hatakeyama , Shirou Kawakita , Ryohei Izawa , Masanari Kimura

Gaussian Processes (GPs) are Bayesian models that provide uncertainty estimates associated to the predictions made. They are also very flexible due to their non-parametric nature. Nevertheless, GPs suffer from poor scalability as the number…

Machine Learning · Computer Science 2021-07-16 Bahram Jafrasteh , Carlos Villacampa-Calvo , Daniel Hernández-Lobato

Over the past decades, there has been an explosion in the amount of available Earth Observation (EO) data. The unprecedented coverage of the Earth's surface and atmosphere by satellite imagery has resulted in large volumes of data that must…

Variational Gaussian process (GP) approximations have become a standard tool in fast GP inference. This technique requires a user to select variational features to increase efficiency. So far the common choices in the literature are…

Machine Learning · Statistics 2021-10-26 Veit Wild , George Wynne

Gaussian processes (GPs) provide a powerful non-parametric framework for reasoning over functions. Despite appealing theory, its superlinear computational and memory complexities have presented a long-standing challenge. State-of-the-art…

Machine Learning · Statistics 2019-01-16 Hugh Salimbeni , Ching-An Cheng , Byron Boots , Marc Deisenroth