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Off-the-shelf Gaussian Process (GP) covariance functions encode smoothness assumptions on the structure of the function to be modeled. To model complex and non-differentiable functions, these smoothness assumptions are often too…

Machine Learning · Statistics 2016-04-12 Roberto Calandra , Jan Peters , Carl Edward Rasmussen , Marc Peter Deisenroth

Autonomous robots are increasingly deployed to estimate spatiotemporal fields (e.g., wind, temperature, gas concentration) that vary across space and time. We consider environments divided into non-overlapping regions with distinct spatial…

Robotics · Computer Science 2025-09-30 Kaleb Ben Naveed , Haejoon Lee , Dimitra Panagou

This paper presents a novel extension of multi-task Gaussian Cox processes for modeling multiple heterogeneous correlated tasks jointly, e.g., classification and regression, via multi-output Gaussian processes (MOGP). A MOGP prior over the…

Machine Learning · Computer Science 2023-08-30 Feng Zhou , Quyu Kong , Zhijie Deng , Fengxiang He , Peng Cui , Jun Zhu

Multi-task/Multi-output learning seeks to exploit correlation among tasks to enhance performance over learning or solving each task independently. In this paper, we investigate this problem in the context of Gaussian Processes (GPs) and…

Machine Learning · Statistics 2018-05-10 Weitong Ruan , Eric L. Miller

Gaussian graphical regression is a powerful means that regresses the precision matrix of a Gaussian graphical model on covariates, permitting the numbers of the response variables and covariates to far exceed the sample size. Model fitting…

Methodology · Statistics 2022-05-24 Jingfei Zhang , Yi Li

Safety is a critical issue in learning-based robotic and autonomous systems as learned information about their environments is often unreliable and inaccurate. In this paper, we propose a risk-aware motion control tool that is robust…

Robotics · Computer Science 2020-03-06 Astghik Hakobyan , Insoon Yang

In this paper, we study extensions to the Gaussian Processes (GPs) continuous occupancy mapping problem. There are two classes of occupancy mapping problems that we particularly investigate. The first problem is related to mapping under…

Robotics · Computer Science 2017-06-05 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

For autonomous mobile robots, uncertainties in the environment and system model can lead to failure in the motion planning pipeline, resulting in potential collisions. In order to achieve a high level of robust autonomy, these robots should…

Robotics · Computer Science 2024-02-05 Nicholas Mohammad , Jacob Higgins , Nicola Bezzo

Collecting operationally realistic data to inform machine learning models can be costly. Before collecting new data, it is helpful to understand where a model is deficient. For example, object detectors trained on images of rare objects may…

Machine Learning · Statistics 2025-12-24 Anna R. Flowers , Christopher T. Franck , Robert B. Gramacy , Justin A. Krometis

Occupancy mapping has been a key enabler of mobile robotics. Originally based on a discrete grid representation, occupancy mapping has evolved towards continuous representations that can predict the occupancy status at any location and…

Robotics · Computer Science 2025-06-17 Cedric Le Gentil , Cedric Pradalier , Timothy D. Barfoot

The multiresolution Gaussian process (GP) has gained increasing attention as a viable approach towards improving the quality of approximations in GPs that scale well to large-scale data. Most of the current constructions assume full…

Machine Learning · Statistics 2019-02-26 Jalil Taghia , Thomas B. Schön

The predictive functions that permit humans to infer their body state by sensorimotor integration are critical to perform safe interaction in complex environments. These functions are adaptive and robust to non-linear actuators and noisy…

Robotics · Computer Science 2019-10-24 Pablo Lanillos , Gordon Cheng

In this paper, we analyze a generic algorithm scheme for sequential global optimization using Gaussian processes. The upper bounds we derive on the cumulative regret for this generic algorithm improve by an exponential factor the previously…

Machine Learning · Statistics 2015-06-09 Emile Contal , Vianney Perchet , Nicolas Vayatis

Grasping is a core task in robotics with various applications. However, most current implementations are primarily designed for rigid items, and their performance drops considerably when handling fragile or deformable materials that require…

Robotics · Computer Science 2025-09-29 Leonel Giacobbe , Jingdao Chen , Chuangchuang Sun

Multi-robot systems such as swarms of aerial robots are naturally suited to offer additional flexibility, resilience, and robustness in several tasks compared to a single robot by enabling cooperation among the agents. To enhance the…

Robotics · Computer Science 2022-01-25 Yang Zhou , Jiuhong Xiao , Yue Zhou , Giuseppe Loianno

Machine learning models can be improved by adapting them to respect existing background knowledge. In this paper we consider multitask Gaussian processes, with background knowledge in the form of constraints that require a specific sum of…

Machine Learning · Statistics 2023-02-02 Philipp Pilar , Carl Jidling , Thomas B. Schön , Niklas Wahlström

Maximizing high-dimensional, non-convex functions through noisy observations is a notoriously hard problem, but one that arises in many applications. In this paper, we tackle this challenge by modeling the unknown function as a sample from…

Machine Learning · Computer Science 2012-07-03 Bo Chen , Rui Castro , Andreas Krause

Constructing an occupancy representation of the environment is a fundamental problem for robot autonomy. Many accurate and efficient methods exist that address this problem but most assume that the occupancy states of different elements in…

Robotics · Computer Science 2018-01-24 Ke Sun , Kelsey Saulnier , Nikolay Atanasov , George J. Pappas , Vijay Kumar

Computational models providing accurate estimates of their uncertainty are crucial for risk management associated with decision making in healthcare contexts. This is especially true since many state-of-the-art systems are trained using the…

Machine Learning · Computer Science 2022-06-09 Hongshu Liu , Nabeel Seedat , Julia Ive

This paper proposes a novel framework for addressing the challenge of autonomous overtaking and obstacle avoidance, which incorporates the overtaking path planning into Gaussian Process-based model predictive control (GPMPC). Compared with…

Robotics · Computer Science 2021-01-26 Wenjun Liu , Chang Liu , Guang Chen , Peng Hang , Alois Knoll