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Credible forecasting and representation learning of dynamical systems are of ever-increasing importance for reliable decision-making. To that end, we propose a family of Gaussian processes (GP) for dynamical systems with linear…

机器学习 · 计算机科学 2025-02-11 Petar Bevanda , Max Beier , Armin Lederer , Alexandre Capone , Stefan Sosnowski , Sandra Hirche

When an agent, person, vehicle or robot is moving through an unknown environment without GNSS signals, online mapping of nonlinear terrains can be used to improve position estimates when the agent returns to a previously mapped area.…

机器学习 · 计算机科学 2025-05-22 Frida Marie Viset , Rudy Helmons , Manon Kok

Gaussian processes are a powerful framework for uncertainty-aware function approximation and sequential decision-making. Unfortunately, their classical formulation does not scale gracefully to large amounts of data and modern hardware for…

机器学习 · 计算机科学 2025-07-10 Jihao Andreas Lin

We consider the informative path planning ($\mathtt{IPP}$) problem in which a robot interacts with an uncertain environment and gathers information by visiting locations. The goal is to minimize its expected travel cost to cover a given…

数据结构与算法 · 计算机科学 2023-11-22 Rayen Tan , Rohan Ghuge , Viswanath Nagarajan

Adaptive Informative Path Planning with Multimodal Sensing (AIPPMS) considers the problem of an agent equipped with multiple sensors, each with different sensing accuracy and energy costs. The agent's goal is to explore the environment and…

人工智能 · 计算机科学 2022-09-19 Joshua Ott , Edward Balaban , Mykel J. Kochenderfer

A key challenge in spatial statistics is the analysis for massive spatially-referenced data sets. Such analyses often proceed from Gaussian process specifications that can produce rich and robust inference, but involve dense covariance…

统计方法学 · 统计学 2019-07-25 Shinichiro Shirota , Andrew O. Finley , Bruce D. Cook , Sudipto Banerjee

A big challenge in environmental monitoring is the spatiotemporal variation of the phenomena to be observed. To enable persistent sensing and estimation in such a setting, it is beneficial to have a time-varying underlying environmental…

机器人学 · 计算机科学 2019-01-10 Kai-Chieh Ma , Lantao Liu , Gaurav S. Sukhatme

Navigating efficiently to an object in an unexplored environment is a critical skill for general-purpose intelligent robots. Recent approaches to this object goal navigation problem have embraced a modular strategy, integrating classical…

机器人学 · 计算机科学 2024-10-28 Kaixian Qu , Jie Tan , Tingnan Zhang , Fei Xia , Cesar Cadena , Marco Hutter

Efficient robotic exploration of unknown, sensor limited, global-information-deficient environments poses unique challenges to path planning algorithms. In these difficult environments, no deterministic guarantees on path completion and…

机器人学 · 计算机科学 2017-05-01 Alexander Ivanov , Mark Campbell

In this work, we propose an attention-based deep reinforcement learning approach to address the adaptive informative path planning (IPP) problem in 3D space, where an aerial robot equipped with a downward-facing sensor must dynamically…

机器人学 · 计算机科学 2025-06-11 Rui Zhao , Xingjian Zhang , Yuhong Cao , Yizhuo Wang , Guillaume Sartoretti

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…

机器学习 · 计算机科学 2022-07-22 Da Long , Zheng Wang , Aditi Krishnapriyan , Robert Kirby , Shandian Zhe , Michael Mahoney

We cast motion planning under uncertainty as a stochastic optimal control problem, where the optimal posterior distribution has an explicit form. To approximate this posterior, this work frames an optimization problem in the space of…

机器人学 · 计算机科学 2026-01-06 Zinuo Chang , Hongzhe Yu , Patricio Vela , Yongxin Chen

The Gaussian process (GP) is a widely used probabilistic machine learning method with implicit uncertainty characterization for stochastic function approximation, stochastic modeling, and analyzing real-world measurements of nonlinear…

机器学习 · 统计学 2026-04-14 Mark D. Risser , Marcus M. Noack , Hengrui Luo , Ronald Pandolfi

Gaussian Processes (GPs) are powerful non-parametric Bayesian models for regression of scalar fields, formulated under the assumption that measurement locations are perfectly known and the corresponding field measurements have Gaussian…

机器人学 · 计算机科学 2026-01-29 Muzaffar Qureshi , Tochukwu Elijah Ogri , Kyle Volle , Rushikesh Kamalapurkar

Gaussian processes provide a flexible framework for spatial prediction, but their computational cost limits applicability to large-scale data with large sample size $n$. Predictive processes (PPs), a popular low-rank approximation, mitigate…

统计方法学 · 统计学 2026-03-23 Nicolas Bianco , Nadja Klein

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

机器学习 · 计算机科学 2026-03-03 Srinath Dama , Prasanth B. Nair

Adaptive information sampling approaches enable efficient selection of mobile robot's waypoints through which accurate sensing and mapping of a physical process, such as the radiation or field intensity, can be obtained. This paper analyzes…

机器人学 · 计算机科学 2021-11-23 Aiman Munir , Ramviyas Parasuraman

The application of Gaussian processes (GPs) to large data sets is limited due to heavy memory and computational requirements. A variety of methods has been proposed to enable scalability, one of which is to exploit structure in the kernel…

机器学习 · 计算机科学 2019-12-30 Jan Graßhoff , Alexandra Jankowski , Philipp Rostalski

Recent work on simultaneous trajectory estimation and mapping (STEAM) for mobile robots has found success by representing the trajectory as a Gaussian process. Gaussian processes can represent a continuous-time trajectory, elegantly handle…

机器人学 · 计算机科学 2015-04-13 Xinyan Yan , Vadim Indelman , Byron Boots

We present a mapping algorithm to compute large-scale magnetic field maps in indoor environments with approximate Gaussian process (GP) regression. Mapping the spatial variations in the ambient magnetic field can be used for localization…

机器学习 · 统计学 2023-11-01 Clara Menzen , Marnix Fetter , Manon Kok