English
Related papers

Related papers: Efficient sparse GP-MPC with accurate mean and var…

200 papers

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

Machine Learning · Statistics 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

We present a chance-constrained model predictive control (MPC) framework under Gaussian mixture model (GMM) uncertainty. Specifically, we consider the uncertainty that arises from predicting future behaviors of moving obstacles, which may…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Kai Ren , Colin Chen , Hyeontae Sung , Heejin Ahn , Ian Mitchell , Maryam Kamgarpour

Continuous-time trajectory representations are a powerful tool that can be used to address several issues in many practical simultaneous localization and mapping (SLAM) scenarios, like continuously collected measurements distorted by robot…

Robotics · Computer Science 2017-05-18 Jing Dong , Byron Boots , Frank Dellaert

In this work we study the non-parametric reconstruction of spatio-temporal dynamical Gaussian processes (GPs) via GP regression from sparse and noisy data. GPs have been mainly applied to spatial regression where they represent one of the…

Machine Learning · Computer Science 2020-10-06 Marco Todescato , Andrea Carron , Ruggero Carli , Gianluigi Pillonetto , Luca Schenato

Ranging from cart-pole systems and autonomous bicycles to bipedal robots, control of these underactuated balance robots aims to achieve both external (actuated) subsystem trajectory tracking and internal (unactuated) subsystem balancing…

Robotics · Computer Science 2020-10-30 Kuo Chen , Jingang Yi , Dezhen Song

Gaussian Process (GP) regression is a popular and sample-efficient approach for many engineering applications, where observations are expensive to acquire, and is also a central ingredient of Bayesian optimization (BO), a highly prevailing…

Machine Learning · Statistics 2025-06-06 Sébastien Da Veiga

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

Robotics · Computer Science 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason

We employ Gaussian process (GP) regression to adjust for systematic errors in D3-type dispersion corrections introducing the associated, statistically improved model D3-GP. We generated a data set containing interaction energies for 1,248…

Chemical Physics · Physics 2019-12-03 Jonny Proppe , Stefan Gugler , Markus Reiher

Aerodynamic forces render accurate high-speed trajectory tracking with quadrotors extremely challenging. These complex aerodynamic effects become a significant disturbance at high speeds, introducing large positional tracking errors, and…

Robotics · Computer Science 2021-03-04 Guillem Torrente , Elia Kaufmann , Philipp Foehn , Davide Scaramuzza

Gaussian Processes (GPs) are a class of kernel methods that have shown to be very useful in geoscience applications. They are widely used because they are simple, flexible and provide very accurate estimates for nonlinear problems,…

Machine Learning · Statistics 2020-12-10 Juan Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls

In the scenario of real-time monitoring of hospital patients, high-quality inference of patients' health status using all information available from clinical covariates and lab tests is essential to enable successful medical interventions…

Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data,…

Machine Learning · Statistics 2018-01-23 Ching-An Cheng , Byron Boots

This paper focuses on distributed learning-based control of decentralized multi-agent systems where the agents' dynamics are modeled by Gaussian Processes (GPs). Two fundamental problems are considered: the optimal design of experiment for…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Viet-Anh Le , Truong X. Nghiem

Safety-critical control using high-dimensional sensory feedback from optical data (e.g., images, point clouds) poses significant challenges in domains like autonomous driving and robotic surgery. Control can rely on low-dimensional states…

Gaussian process (GP) regression is a powerful interpolation technique due to its flexibility in capturing non-linearity. In this paper, we provide a general framework for understanding the frequentist coverage of point-wise and…

Statistics Theory · Mathematics 2017-08-17 Yun Yang , Anirban Bhattacharya , Debdeep Pati

Despite the widespread utilization of Gaussian process models for versatile nonparametric modeling, they exhibit limitations in effectively capturing abrupt changes in function smoothness and accommodating relationships with heteroscedastic…

Machine Learning · Statistics 2023-09-01 Taehee Lee , Jun S. Liu

In many real-world applications we are interested in approximating costly functions that are analytically unknown, e.g. complex computer codes. An emulator provides a fast approximation of such functions relying on a limited number of…

Methodology · Statistics 2020-10-02 Hossein Mohammadi , Peter Challenor , Marc Goodfellow , Daniel Williamson

We develop a Gaussian process ("GP") framework for modeling mortality rates and mortality improvement factors. GP regression is a nonparametric, data-driven approach for determining the spatial dependence in mortality rates and jointly…

Methodology · Statistics 2018-04-13 Mike Ludkovski , Jimmy Risk , Howard Zail

Gaussian Process (GP) models are a powerful and flexible tool for non-parametric regression and classification. Computation for GP models is intensive, since computing the posterior density, $\pi$, for covariance function parameters…

Computation · Statistics 2013-05-13 Chunyi Wang , Radford M. Neal

Gaussian processes (GPs) are typically criticised for their unfavourable scaling in both computational and memory requirements. For large datasets, sparse GPs reduce these demands by conditioning on a small set of inducing variables…