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Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

Machine Learning · Statistics 2024-09-20 Qiuxian Meng , Yongyou Zhang

Deep Gaussian Processes (DGPs) compose GP layers to warp inputs, enabling improved emulation of computer models with nonstationary input-output behavior compared with ordinary GPs. In contrast to GPs, the predictive uncertainty for DGP…

Computation · Statistics 2026-05-12 Yiming Yang , Deyu Ming , Serge Guillas

Physical modeling is critical for many modern science and engineering applications. From a data science or machine learning perspective, where more domain-agnostic, data-driven models are pervasive, physical knowledge -- often expressed as…

Machine Learning · Computer Science 2022-07-22 Da Long , Zheng Wang , Aditi Krishnapriyan , Robert Kirby , Shandian Zhe , Michael Mahoney

Multi-task regression attempts to exploit the task similarity in order to achieve knowledge transfer across related tasks for performance improvement. The application of Gaussian process (GP) in this scenario yields the non-parametric yet…

Machine Learning · Statistics 2021-09-21 Haitao Liu , Jiaqi Ding , Xinyu Xie , Xiaomo Jiang , Yusong Zhao , Xiaofang Wang

Modeling sequential data has become more and more important in practice. Some applications are autonomous driving, virtual sensors and weather forecasting. To model such systems so called recurrent models are used. In this article we…

Machine Learning · Statistics 2017-11-21 Roman Föll , Bernard Haasdonk , Markus Hanselmann , Holger Ulmer

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

Multi-task Gaussian process (MTGP) is a well-known non-parametric Bayesian model for learning correlated tasks effectively by transferring knowledge across tasks. But current MTGPs are usually limited to the multi-task scenario defined in…

Machine Learning · Statistics 2024-10-28 Haitao Liu , Kai Wu , Yew-Soon Ong , Chao Bian , Xiaomo Jiang , Xiaofang Wang

Predicting vehicle trajectories is crucial for ensuring automated vehicle operation efficiency and safety, particularly on congested multi-lane highways. In such dynamic environments, a vehicle's motion is determined by its historical…

Robotics · Computer Science 2023-09-06 Keshu Wu , Yang Zhou , Haotian Shi , Xiaopeng Li , Bin Ran

This paper proposes a nonplanar model predictive control (MPC) framework for autonomous vehicles operating on nonplanar terrain. To approximate complex vehicle dynamics in such environments, we develop a geometry-aware modeling approach…

Robotics · Computer Science 2026-02-19 Ahmad Amine , Kabir Puri , Viet-Anh Le , Rahul Mangharam

Multi-traversal data, commonly collected through daily commutes or by self-driving fleets, provides multiple viewpoints for scene reconstruction within a road block. This data offers significant potential for high-quality novel view…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Tianyu Li , Yihang Qiu , Zhenhua Wu , Carl Lindström , Peng Su , Matthias Nießner , Hongyang Li

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

Autonomous driving technologies have received notable attention in the past decades. In autonomous driving systems, identifying a precise dynamical model for motion control is nontrivial due to the strong nonlinearity and uncertainty in…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Yongqian Xiao , Xinglong Zhang , Xin Xu , Xueqing Liu , Jiahang Liu

In the field of 3D dynamic scene reconstruction, how to balance model convergence rate and rendering quality has long been a critical challenge that urgently needs to be addressed, particularly in high-precision modeling of scenes with…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Nengbo Lu , Minghua Pan , Shaohua Sun , Yizhou Liang

Planning is a powerful approach to control problems with known environment dynamics. In unknown environments the agent needs to learn a model of the system dynamics to make planning applicable. This is particularly challenging when the…

Machine Learning · Computer Science 2020-05-11 Nathanael Bosch , Jan Achterhold , Laura Leal-Taixé , Jörg Stückler

Multi-hop reasoning has been widely studied in recent years to seek an effective and interpretable method for knowledge graph (KG) completion. Most previous reasoning methods are designed for dense KGs with enough paths between entities,…

Computation and Language · Computer Science 2020-10-06 Xin Lv , Xu Han , Lei Hou , Juanzi Li , Zhiyuan Liu , Wei Zhang , Yichi Zhang , Hao Kong , Suhui Wu

Approach and landing accidents have resulted in a significant number of hull losses worldwide. Technologies (e.g., instrument landing system) and procedures (e.g., stabilized approach criteria) have been developed to reduce the risks. In…

Machine Learning · Computer Science 2021-08-03 Sim Kuan Goh , Narendra Pratap Singh , Zhi Jun Lim , Sameer Alam

Autonomous driving technology is poised to transform transportation systems. However, achieving safe and accurate multi-task decision-making in complex scenarios, such as unsignalized intersections, remains a challenge for autonomous…

Robotics · Computer Science 2023-08-01 Jiaqi Liu , Peng Hang , Xiao qi , Jianqiang Wang , Jian Sun

Transformed Gaussian Processes (TGPs) are stochastic processes specified by transforming samples from the joint distribution from a prior process (typically a GP) using an invertible transformation; increasing the flexibility of the base…

Machine Learning · Computer Science 2023-11-03 Francisco Javier Sáez-Maldonado , Juan Maroñas , Daniel Hernández-Lobato

Accurate traffic demand forecasting enables transportation management departments to allocate resources more effectively, thereby improving their utilization efficiency. However, complex spatiotemporal relationships in traffic systems…

Machine Learning · Computer Science 2025-07-04 Siqing Long , Xiangzhi Huang , Jiemin Xie , Ming Cai

Deep Gaussian Processes (DGPs) are hierarchical generalizations of Gaussian Processes that combine well calibrated uncertainty estimates with the high flexibility of multilayer models. One of the biggest challenges with these models is that…

Machine Learning · Statistics 2018-11-13 Marton Havasi , José Miguel Hernández-Lobato , Juan José Murillo-Fuentes