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Gaussian process (GP) models are widely used to emulate propagation uncertainty in computer experiments. GP emulation sits comfortably within an analytically tractable Bayesian framework. Apart from propagating uncertainty of the input…

Methodology · Statistics 2015-01-30 Silvia Montagna , Surya T. Tokdar

Autonomous hazard detection and avoidance is a key technology for future landing missions in unknown surface conditions. Current state-of-the-art stochastic algorithms assume simple Gaussian measurement noise on dense, high-fidelity digital…

Robotics · Computer Science 2023-05-09 Kento Tomita , Koki Ho

We present a new method for estimating multivariate, second-order stationary Gaussian Random Field (GRF) models based on the Sparse Precision matrix Selection (SPS) algorithm, proposed by Davanloo et al. (2015) for estimating scalar GRF…

Machine Learning · Statistics 2021-01-12 Sam Davanloo Tajbakhsh , Necdet Serhat Aybat , Enrique del Castillo

Traditional Lyapunov based transient stability assessment approaches focus on identifying the stability region (SR) of the equilibrium point under study. When trying to estimate this region using Lyapunov functions, the shape of the final…

Dynamical Systems · Mathematics 2019-11-19 Chetan Mishra , James S. Thorp , Virgilio A. Centeno , Anamitra Pal

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

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

Optimization and Control · Mathematics 2018-09-05 Marco Lauricella , Lorenzo Fagiano

Localization in a global map is critical to success in many autonomous robot missions. This is particularly challenging for multi-robot operations in unknown and adverse environments. Here, we are concerned with providing a small unmanned…

Robotics · Computer Science 2016-09-20 Gordon Christie , Garrett Warnell , Kevin Kochersberger

Subspace-valued functions arise in a wide range of problems, including parametric reduced order modeling (PROM). In PROM, each parameter point can be associated with a subspace, which is used for Petrov-Galerkin projections of large system…

Statistics Theory · Mathematics 2021-07-13 Ruda Zhang , Simon Mak , David Dunson

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

Signal Processing · Electrical Eng. & Systems 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

The Gaussian mechanism is one differential privacy mechanism commonly used to protect numerical data. However, it may be ill-suited to some applications because it has unbounded support and thus can produce invalid numerical answers to…

Cryptography and Security · Computer Science 2022-12-01 Bo Chen , Matthew Hale

Perfect tracking control for real-world Euler-Lagrange systems is challenging due to uncertainties in the system model and external disturbances. The magnitude of the tracking error can be reduced either by increasing the feedback gains or…

Machine Learning · Computer Science 2019-02-26 Thomas Beckers , Dana Kulić , Sandra Hirche

Autonomous unmanned aerial vehicle (UAV) inertial navigation exhibits an extreme dependency on the availability of global navigation satellite systems (GNSS) signals, without which it incurs in a slow but unavoidable position drift that may…

Robotics · Computer Science 2021-12-02 Eduardo Gallo

Algorithms for motion planning in unknown environments are generally limited in their ability to reason about the structure of the unobserved environment. As such, current methods generally navigate unknown environments by relying on…

Robotics · Computer Science 2019-10-21 Amine Elhafsi , Boris Ivanovic , Lucas Janson , Marco Pavone

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…

Machine Learning · Statistics 2023-11-01 Clara Menzen , Marnix Fetter , Manon Kok

Distributed Gaussian processes (DGPs) are prominent local approximation methods to scale Gaussian processes (GPs) to large datasets. Instead of a global estimation, they train local experts by dividing the training set into subsets, thus…

Machine Learning · Computer Science 2021-11-10 Hamed Jalali , Gjergji Kasneci

We propose a safety-guaranteed planning and control framework for unmanned surface vessels (USVs), using Gaussian processes (GPs) to learn uncertainties. The uncertainties encountered by USVs, including external disturbances and model…

Robotics · Computer Science 2022-05-11 Shuhao Zhang , Yujia Yang , Seth Siriya , Ye Pu

With the expanding application scope of unmanned aerial vehicles (UAVs), the demand for stable UAV control has significantly increased. However, in complex environments, GPS signals are prone to interference, resulting in ineffective UAV…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Mingkun Li , Ziming Wang , Guang Huo , Wei Chen , Xiaoning Zhao

The limited or no protection for civilian Global Navigation Satellite System (GNSS) signals makes spoofing attacks relatively easy. With modern mobile devices often featuring network interfaces, state-of-the-art signals of opportunity (SOP)…

Cryptography and Security · Computer Science 2025-06-17 Wenjie Liu , Panos Papadimitratos

Multi-agent mapping is a fundamentally important capability for autonomous robot task coordination and execution in complex environments. While successful algorithms have been proposed for mapping using individual platforms, cooperative…

Robotics · Computer Science 2021-10-14 James Di , Ehsan Zobeidi , Alec Koppel , Nikolay Atanasov

This work describes the implementation of a simple and computationally efficient Intelligent Navigation System (INS) for autonomous systems used in areas where human access is impossible. The system uses Laser Range Finder (LRF) readings as…