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Gaussian process (GP) regression is a non-parametric, Bayesian framework to approximate complex models. Standard GP regression can lead to an unbounded model in which some points can take infeasible values. We introduce a new GP method that…

Machine Learning · Statistics 2024-04-04 Didem Kochan , Xiu Yang

Evolving consumer demands and market trends have led to businesses increasingly embracing a production approach that prioritizes flexibility and customization. Consequently, factory workers must engage in tasks that are more complex than…

Machine Learning · Computer Science 2024-05-17 Issei Saito , Tomoaki Nakamura , Toshiyuki Hatta , Wataru Fujita , Shintaro Watanabe , Shotaro Miwa

Multi-agent mapping is a fundamentally important capability for autonomous robot task coordination and execution in complex environments. While successful algorithms have been proposed for mapping using individual platforms, cooperative…

Robotics · Computer Science 2021-10-14 James Di , Ehsan Zobeidi , Alec Koppel , Nikolay Atanasov

Functional covariates arise in many scientific and engineering applications when model inputs take the form of time-dependent or spatially distributed profiles, such as varying boundary conditions or changing material behaviours. In…

Statistics Theory · Mathematics 2026-03-10 Razak Christophe Sabi Gninkou , Andrés F. López-Lopera , Franck Massa , Rodolphe Le Riche

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

Multi-robot systems require scalable and federated methods to model complex environments under computational and communication constraints. Gaussian Processes (GPs) offer robust probabilistic modeling, but suffer from cubic computational…

Multiagent Systems · Computer Science 2026-02-13 Sanket A. Salunkhe , George P. Kontoudis

In this paper, we extend a famous motion planning approach GPMP2 to multi-robot cases, yielding a novel centralized trajectory generation method for the multi-robot formation. A sparse Gaussian Process model is employed to represent the…

Robotics · Computer Science 2021-08-02 Shuang Guo , Bo Liu , Shen Zhang , Jifeng Guo , Changhong Wang

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

Statistics Theory · Mathematics 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

The Gaussian process (GP) is a Bayesian nonparametric paradigm that is widely adopted for uncertainty quantification (UQ) in a number of safety-critical applications, including robotics, healthcare, as well as surveillance. The consistency…

Machine Learning · Computer Science 2024-10-10 Jinwen Xu , Qin Lu , Georgios B. Giannakis

Active learning of physical systems must commonly respect practical safety constraints, which restricts the exploration of the design space. Gaussian Processes (GPs) and their calibrated uncertainty estimations are widely used for this…

Machine Learning · Computer Science 2024-04-16 Jörn Tebbe , Christoph Zimmer , Ansgar Steland , Markus Lange-Hegermann , Fabian Mies

In this paper, we propose a novel Gaussian process-based moving horizon estimation (MHE) framework for unknown nonlinear systems. On the one hand, we approximate the system dynamics by the posterior means of the learned Gaussian processes…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

Robust motion planning is a well-studied problem in the robotics literature, yet current algorithms struggle to operate scalably and safely in the presence of other moving agents, such as humans. This paper introduces a novel framework for…

Modeling of physical human-robot collaborations is generally a challenging problem due to the unpredictive nature of human behavior. To address this issue, we present a data-efficient reinforcement learning framework which enables a robot…

Robotics · Computer Science 2016-07-28 Ali Ghadirzadeh , Judith Bütepage , Atsuto Maki , Danica Kragic , Mårten Björkman

Ensuring safe navigation in human-populated environments is crucial for autonomous mobile robots. Although recent advances in machine learning offer promising methods to predict human trajectories in crowded areas, it remains unclear how…

Robotics · Computer Science 2024-03-11 Kanghyun Ryu , Negar Mehr

Reasoning about the pose, i.e. position and orientation of objects is one of the cornerstones of robotic manipulation under uncertainty. In a number of joint research projects our group is developing a robotic perception system that…

Robotics · Computer Science 2017-07-10 Wendelin Feiten , Muriel Lang

A Gaussian process (GP) is a powerful and widely used regression technique. The main building block of a GP regression is the covariance kernel, which characterizes the relationship between pairs in the random field. The optimization to…

Numerical Analysis · Mathematics 2022-01-05 Vahid Keshavarzzadeh , Shandian Zhe , Robert M. Kirby , Akil Narayan

Human motion prediction from historical pose sequence is at the core of many applications in machine intelligence. However, in current state-of-the-art methods, the predicted future motion is confined within the same activity. One can…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Zhenguang Liu , Kedi Lyu , Shuang Wu , Haipeng Chen , Yanbin Hao , Shouling Ji

In Gaussian Process (GP) dynamical model learning for robot control, particularly for systems constrained by computational resources like small quadrotors equipped with low-end processors, analyzing stability and designing a stable…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Wenhan Cao , Alexandre Capone , Rishabh Yadav , Sandra Hirche , Wei Pan

Variable selection in Gaussian processes (GPs) is typically undertaken by thresholding the inverse lengthscales of automatic relevance determination kernels, but in high-dimensional datasets this approach can be unreliable. A more…

Machine Learning · Statistics 2022-02-25 Hugh Dance , Brooks Paige

Motion prediction in unstructured environments is a difficult problem and is essential for safe and efficient human-robot space sharing and collaboration. In this work, we focus on manipulation movements in environments such as homes,…

Robotics · Computer Science 2020-07-21 Philipp Kratzer , Niteesh Balachandra Midlagajni , Marc Toussaint , Jim Mainprice
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