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We formulate a reduced-order strategy for efficiently forecasting complex high-dimensional dynamical systems entirely based on data streams. The first step of our method involves reconstructing the dynamics in a reduced-order subspace of…

Data Analysis, Statistics and Probability · Physics 2017-03-08 Zhong Yi Wan , Themistoklis P. Sapsis

Accurate post-processing navigation is essential for applications such as survey and mapping, where the full measurement history can be exploited to refine past state estimates. Fixed-interval smoothing algorithms represent the…

Robotics · Computer Science 2026-03-27 Nadav Cohen , Itzik Klein

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

Computation · Statistics 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Efficient and robust path planning hinges on combining all accessible information sources. In particular, the task of path planning for robotic environmental exploration and monitoring depends highly on the current belief of the world. To…

In learning from demonstrations, it is often desirable to adapt the behavior of the robot as a function of the variability retrieved from human demonstrations and the (un)certainty encoded in different parts of the task. In this paper, we…

Robotics · Computer Science 2019-10-14 Noémie Jaquier , David Ginsbourger , Sylvain Calinon

In this article, we consider the general task of performing Gaussian process regression (GPR) on pointwise observations of solutions of the 3 dimensional homogeneous free space wave equation.In a recent article, we obtained promising…

Analysis of PDEs · Mathematics 2023-11-10 Iain Henderson , Pascal Noble , Olivier Roustant

Sensors provide a vital source of data that link digital systems with the physical world. However, as sensors age, the relationship between what they measure and what they output changes. This is known as sensor drift and poses a…

Signal Processing · Electrical Eng. & Systems 2025-06-12 Aaron Hurst , Andrey V. Kalinichev , Klaus Koren , Daniel E. Lucani

Probabilistic world models increase data efficiency of model-based reinforcement learning (MBRL) by guiding the policy with their epistemic uncertainty to improve exploration and acquire new samples. Moreover, the uncertainty-aware learning…

Machine Learning · Computer Science 2024-03-26 Can Bogoclu , Robert Vosshall , Kevin Cremanns , Dirk Roos

The calibration of extrinsic parameters and clock offsets between sensors for high-accuracy performance in underwater SLAM systems remains insufficiently explored. Existing methods for Doppler Velocity Log (DVL) calibration are either…

Robotics · Computer Science 2025-10-29 Hongxu Zhao , Guangyang Zeng , Yunling Shao , Tengfei Zhang , Junfeng Wu

Unmanned Surface Vehicles (USVs) are pivotal in marine exploration, but their sensors' accuracy is compromised by the dynamic marine environment. Traditional calibration methods fall short in these conditions. This paper introduces a deep…

Robotics · Computer Science 2024-06-10 Yi Shen , Hao Liu , Chang Zhou , Wentao Wang , Zijun Gao , Qi Wang

The work analyzes existing methods for increasing the accuracy of determining weekend navigation parameters of unmanned underwater vehicles. It is proposed to retrofit the navigation system with an additional hydrodynamic tilt unit, which…

Systems and Control · Electrical Eng. & Systems 2023-12-14 A. N. Grekov , M. A Pasynkov , . S. S. Peliushenko

Underwater robots are subject to position drift due to the effect of ocean currents and the lack of accurate localisation while submerged. We are interested in exploiting such position drift to estimate the ocean current in the surrounding…

Robotics · Computer Science 2019-01-29 Ki Myung Brian Lee , Chanyeol Yoo , Ben Hollings , Stuart Anstee , Shoudong Huang , Robert Fitch

When signals are measured through physical sensors, they are perturbed by noise. To reduce noise, low-pass filters are commonly employed in order to attenuate high frequency components in the incoming signal, regardless if they come from…

Signal Processing · Electrical Eng. & Systems 2021-11-08 Alejandro J. Ordóñez-Conejo , Armin Lederer , Sandra Hirche

This paper presents a deep learning approach to aid dead-reckoning (DR) navigation using a limited sensor suite. A Recurrent Neural Network (RNN) was developed to predict the relative horizontal velocities of an Autonomous Underwater…

Robotics · Computer Science 2021-10-05 Ivar Bjørgo Saksvik , Alex Alcocer , Vahid Hassani

Bayesian optimization (BO) based on Gaussian process regression (GPR) is applied to different CFD (computational fluid dynamics) problems which can be of practical relevance. The problems are i) shape optimization in a lid-driven cavity to…

Fluid Dynamics · Physics 2021-11-15 Y. Morita , S. Rezaeiravesh , N. Tabatabaei , R. Vinuesa , K. Fukagata , P. Schlatter

Scenes reconstructed by 3D Gaussian Splatting (3DGS) trained on low-resolution (LR) images are unsuitable for high-resolution (HR) rendering. Consequently, a 3DGS super-resolution (SR) method is needed to bridge LR inputs and HR rendering.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Kaizhe Zhang , Shinan Chen , Qian Zhao , Weizhan Zhang , Caixia Yan , Yudeng Xin

Gaussian processes (GPs) are a popular model for spatially referenced data and allow descriptive statements, predictions at new locations, and simulation of new fields. Often a few parameters are sufficient to parameterize the covariance…

Machine Learning · Statistics 2021-01-01 Florian Gerber , Douglas W. Nychka

A cost effective approach to remote monitoring of protected areas such as marine reserves and restricted naval waters is to use passive sonar to detect, classify, localize, and track marine vessel activity (including small boats and…

Sound · Computer Science 2017-10-30 Eric L. Ferguson , Rishi Ramakrishnan , Stefan B. Williams , Craig T. Jin

This paper addresses the problem of active learning of a multi-output Gaussian process (MOGP) model representing multiple types of coexisting correlated environmental phenomena. In contrast to existing works, our active learning problem…

Machine Learning · Statistics 2015-11-25 Yehong Zhang , Trong Nghia Hoang , Kian Hsiang Low , Mohan Kankanhalli

Autonomous Surface Vehicles (ASVs) play a crucial role in maritime operations, yet their navigation in shallow-water environments remains challenging due to dynamic disturbances and depth constraints. Traditional navigation strategies…