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Data assimilation algorithms estimate the state of a dynamical system from partial observations, where the successful performance of these algorithms hinges on costly parameter tuning and on employing an accurate model for the dynamics.…

Machine Learning · Statistics 2026-03-24 Melissa Adrian , Daniel Sanz-Alonso , Rebecca Willett

In this paper, we propose a new technique that applies automated image analysis in the area of structural corrosion monitoring and demonstrate improved efficacy compared to existing approaches. Structural corrosion monitoring is the initial…

Computer Vision and Pattern Recognition · Computer Science 2022-01-12 Abdur Rahim Mohammad Forkan , Yong-Bin Kang , Prem Prakash Jayaraman , Kewen Liao , Rohit Kaul , Graham Morgan , Rajiv Ranjan , Samir Sinha

The fusion between an inertial navigation system and global navigation satellite systems is regularly used in many platforms such as drones, land vehicles, and marine vessels. The fusion is commonly carried out in a model-based extended…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Barak Or , Itzik Klein

We address the problem of estimating smoothly varying baseline trends in time series data. This problem arises in a wide range of fields, including chemistry, macroeconomics, and medicine; however, our study is motivated by the analysis of…

Methodology · Statistics 2019-04-26 Halley L. Brantley , Joseph Guinness , Eric C. Chi

This paper addresses the problem of autonomous task allocation by a swarm of autonomous, interactive drones in large-scale, dynamic spatio-temporal environments. When each drone independently determines navigation, sensing, and recharging…

Robotics · Computer Science 2025-11-13 Chuhao Qin , Evangelos Pournaras

A hybrid data assimilation algorithm is developed for complex dynamical systems with partial observations. The method starts with applying a spectral decomposition to the entire spatiotemporal fields, followed by creating a machine learning…

Computational Physics · Physics 2022-12-27 Changhong Mou , Leslie M. Smith , Nan Chen

The safe operation of drone swarms beyond visual line of sight requires multiple safeguards to mitigate the risk of collision between drones flying in close-proximity scenarios. Cooperative navigation and flight coordination strategies that…

Robotics · Computer Science 2025-08-06 Manduhu Manduhu , Alexander Dow , Petar Trslic , Gerard Dooly , Benjamin Blanck , James Riordan

In this paper, the Ensemble Kalman Filter is compared with a 4DVAR Data Assimilation System in chaotic dynamics. The Lorenz model is chosen for its simplicity in structure and its dynamical similarities with primitive equation models, such…

Chaotic Dynamics · Physics 2026-04-13 Fabrício Pereira Harter , Cleber Souza Corrêa

In point-based sensing systems such as coordinate measuring machines (CMM) and laser ultrasonics where complete sensing is impractical due to the high sensing time and cost, adaptive sensing through a systematic exploration is vital for…

Machine Learning · Statistics 2019-10-08 Hao Yan , Kamran Paynabar , Jianjun Shi

We propose closed-form conditional diffusion models for data assimilation. Diffusion models use data to learn the score function (defined as the gradient of the log-probability density of a data distribution), allowing them to generate new…

Machine Learning · Statistics 2026-04-02 Brianna Binder , Agnimitra Dasgupta , Assad Oberai

Recovering a drone on a disturbed water surface remains a significant challenge in maritime robotics. In this paper, we propose a unified framework for robot-assisted drone recovery on a wavy surface that addresses two major tasks: Firstly,…

Robotics · Computer Science 2025-11-05 Yimou Wu , Mingyang Liang , Chongfeng Liu , Zhongzhong Cao , Huihuan Qian

Data assimilation (DA) addresses the problem of sequentially estimating the state of a dynamical system from noisy and incomplete observations. In this work, we employ a diffusion model as a world model to simulate and predict the system's…

Machine Learning · Statistics 2026-05-26 Lifu Wei , Yinuo Ren , Naichen Shi , Yiping Lu

This paper presents a novel autonomous drone-based smoke plume tracking system capable of navigating and tracking plumes in highly unsteady atmospheric conditions. The system integrates advanced hardware and software and a comprehensive…

Robotics · Computer Science 2025-04-18 Srijan Kumar Pal , Shashank Sharma , Nikil Krishnakumar , Jiarong Hong

This article introduces the sequential Kalman filter, a computationally scalable approach for online changepoint detection with temporally correlated data. The temporal correlation was not considered in the Bayesian online changepoint…

Applications · Statistics 2024-01-02 Hanmo Li , Yuedong Wang , Mengyang Gu

A new type of ensemble Kalman filter is developed, which is based on replacing the sample covariance in the analysis step by its diagonal in a spectral basis. It is proved that this technique improves the aproximation of the covariance when…

Methodology · Statistics 2015-08-19 Ivan Kasanický , Jan Mandel , Martin Vejmelka

Vehicle state estimation presents a fundamental challenge for autonomous driving systems, requiring both physical interpretability and the ability to capture complex nonlinear behaviors across diverse operating conditions. Traditional…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Farid Mafi , Ladan Khoshnevisan , Mohammad Pirani , Amir Khajepour

The use of data assimilation for the merging of observed data with dynamical models is becoming standard in modern physics. If a parametric model is known, methods such as Kalman filtering have been developed for this purpose. If no model…

Data Analysis, Statistics and Probability · Physics 2018-01-17 Franz Hamilton , Tyrus Berry , Timothy Sauer

Autonomous deployment of unmanned aerial vehicles (UAVs) supporting next-generation communication networks requires efficient trajectory planning methods. We propose a new end-to-end reinforcement learning (RL) approach to UAV-enabled data…

Machine Learning · Computer Science 2021-01-28 Harald Bayerlein , Mirco Theile , Marco Caccamo , David Gesbert

Marine obstacle detection demands robust segmentation under challenging conditions, such as sun glitter, fog, and rapidly changing wave patterns. These factors degrade image quality, while the scarcity and structural repetition of marine…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Miaohua Zhang , Mohammad Ali Armin , Xuesong Li , Sisi Liang , Lars Petersson , Changming Sun , David Ahmedt-Aristizabal , Zeeshan Hayder

Data Assimilation (DA) is a computational tool that uses value from the model and the real measurement to arrive to an optimally acceptable value. Rather, this technique relies on the idea of Kalman gain. We point out that DA has two…

Optimization and Control · Mathematics 2020-12-15 Mohammad N. Murshed , Zarin Subah , M. Monir Uddin