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Learning mappings between functional spaces, also known as function-on-function regression, is a fundamental problem in functional data analysis with broad applications, including spatiotemporal forecasting, curve prediction, and climate…

机器学习 · 计算机科学 2026-04-07 Matthew Lowery , Zhitong Xu , Da Long , Keyan Chen , Daniel S. Johnson , Yang Bai , Varun Shankar , Shandian Zhe

Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

Gaussian processes provide a flexible, non-parametric framework for the approximation of functions in high-dimensional spaces. The covariance kernel is the main engine of Gaussian processes, incorporating correlations that underpin the…

机器学习 · 统计学 2024-03-20 Dionissios T. Hristopulos

Active mapping aims to determine how an agent should move to efficiently reconstruct unknown environments. Most existing approaches rely on greedy next-best-view prediction, resulting in inefficient exploration and incomplete…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Shiyao Li , Antoine Guédon , Shizhe Chen , Vincent Lepetit

Prediction is a classic challenge in spatial statistics and the inclusion of spatial covariates can greatly improve predictive performance when incorporated into a model with latent spatial effects. It is desirable to develop flexible…

统计方法学 · 统计学 2025-02-24 Alex Ziyu Jiang , Jon Wakefield

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

系统与控制 · 计算机科学 2016-03-10 Jung-Su Ha , Han-Lim Choi

This paper presents a computationally efficient multi-object tracking approach that can minimise track breaks (e.g., in challenging environments and against agile targets), learn the measurement model parameters on-line (e.g., in…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Fred Lydeard , Bashar I. Ahmad , Simon Godsill

Improving the predictive accuracy of a dynamics model is crucial to obtaining good control performance and safety from Model Predictive Controllers (MPC). One approach involves learning unmodelled (residual) dynamics, in addition to nominal…

系统与控制 · 电气工程与系统科学 2025-11-19 Leroy D'Souza , Yash Vardhan Pant , Sebastian Fischmeister

Box/cabinet scenarios with stacked objects pose significant challenges for robotic motion due to visual occlusions and constrained free space. Traditional collision-free trajectory planning methods often fail when no collision-free paths…

机器人学 · 计算机科学 2025-09-16 Chengjin Wang , Zheng Yan , Yanmin Zhou , Runjie Shen , Zhipeng Wang , Bin Cheng , Bin He

This work introduces progressive spatio-temporal filtering, an efficient method to build all-frequency approximations to the light transport distribution into a scene by filtering individual samples produced by an underlying path sampler,…

图形学 · 计算机科学 2020-05-26 Jacopo Pantaleoni

We introduce a simple, rigorous, and unified framework for solving nonlinear partial differential equations (PDEs), and for solving inverse problems (IPs) involving the identification of parameters in PDEs, using the framework of Gaussian…

数值分析 · 数学 2021-08-12 Yifan Chen , Bamdad Hosseini , Houman Owhadi , Andrew M Stuart

Despite a large corpus of recent work on scaling up Gaussian processes, a stubborn trade-off between computational speed, prediction and uncertainty quantification accuracy, and customizability persists. This is because the vast majority of…

机器学习 · 计算机科学 2025-12-09 Marcus M. Noack , Mark D. Risser , Hengrui Luo , Vardaan Tekriwal , Ronald J. Pandolfi

Large-scale precision matrix estimation is of fundamental importance yet challenging in many contemporary applications for recovering Gaussian graphical models. In this paper, we suggest a new approach of innovated scalable efficient…

统计方法学 · 统计学 2016-05-12 Yingying Fan , Jinchi Lv

The ability to plan informative paths online is essential to robot autonomy. In particular, sampling-based approaches are often used as they are capable of using arbitrary information gain formulations. However, they are prone to local…

机器人学 · 计算机科学 2020-02-07 Lukas Schmid , Michael Pantic , Raghav Khanna , Lionel Ott , Roland Siegwart , Juan Nieto

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,…

机器学习 · 统计学 2018-01-23 Ching-An Cheng , Byron Boots

Autonomous racing creates challenging control problems, but Model Predictive Control (MPC) has made promising steps toward solving both the minimum lap-time problem and head-to-head racing. Yet, accurate models of the system are necessary…

系统与控制 · 电气工程与系统科学 2023-11-06 Tommaso Benciolini , Chen Tang , Marion Leibold , Catherine Weaver , Masayoshi Tomizuka , Wei Zhan

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

机器学习 · 计算机科学 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

Downsampling and path planning are essential in robotics and autonomous systems, as they enhance computational efficiency and enable effective navigation in complex environments. However, current downsampling methods often fail to preserve…

机器人学 · 计算机科学 2025-04-22 Yihui Mao , Shuo Liu

Efficient and reliable generation of global path plans are necessary for safe execution and deployment of autonomous systems. In order to generate planning graphs which adequately resolve the topology of a given environment, many…

机器人学 · 计算机科学 2022-05-24 Alexander Lambert , Brian Hou , Rosario Scalise , Siddhartha S. Srinivasa , Byron Boots

Coverage Path Planning (CPP) is vital in precision agriculture to improve efficiency and resource utilization. In irregular and dispersed plantations, traditional grid-based CPP often causes redundant coverage over non-vegetated areas,…

机器人学 · 计算机科学 2025-05-09 Weijie Kuang , Hann Woei Ho , Ye Zhou