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In this paper, we address a robust nonlinear state estimation problem under model uncertainty by formulating a dynamic minimax game: one player designs the robust estimator, while the other selects the least favorable model from an…

Optimization and Control · Mathematics 2025-06-06 Shenglun Yi , Mattia Zorzi

Nonlinearity continuation method, applied to boundary value problems for steady-state Richards equation, gradually approaches the solution through a series of intermediate problems. Originally, the Newton method with simple line search…

Numerical Analysis · Mathematics 2021-05-27 Denis Anuprienko

We present a thermodynamically consistent constitutive model for fluid-saturated sediments, spanning dense to dilute regimes, developed from the basic balance laws for two phase-mixtures. The model can represent various limiting cases, such…

Soft Condensed Matter · Physics 2021-05-18 Aaron S. Baumgarten , Ken Kamrin

Autonomous Land Vehicles (ALV) shall efficiently recognize the ground in unknown environments. A novel $\mathcal{GP}$-based method is proposed for the ground segmentation task in rough driving scenarios. A non-stationary covariance function…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Pouria Mehrabi , Hamid D. Taghirad

This work addresses the problem of state estimation in multivariable dynamic systems with quantized outputs, a common scenario in applications involving low-resolution sensors or communication constraints. A novel method is proposed to…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Angel L. Cedeño , Rodrigo A. González , Boris I. Godoy , Juan C. Agüero

A minimalist stochastic model of primary soil salinity is proposed, in which the rate of soil salinization is determined by the balance between dry and wet salt deposition and the intermittent leaching events caused by rainfall events. The…

Geophysics · Physics 2012-07-11 S. Suweis , A. Rinaldo , S. E. A. T. M. Van der Zee , E. Daly , A. Maritan , A. Porporato

A wide body of work has applied the concept of critical slowing down to estimate the stability of different Earth system components. Most of them -- such as global vegetation -- are inherently non-stationary, for example due to strong…

Chaotic Dynamics · Physics 2026-04-28 Taylor Smith , Andreas Morr , Christof Schötz , Niklas Boers

In this study, we focus on the modelling of infiltration process in porous media. We use the meshless techniques for efficiently solving the Richards equation which describes unsaturated water flow through soils. The design of approximate…

Numerical Analysis · Mathematics 2021-11-03 Mohamed Boujoudar , Abdelaziz Beljadid , Ahmed Taik

Soil moisture is an important variable that determines floods, vegetation health, agriculture productivity, and land surface feedbacks to the atmosphere, etc. Accurately modeling soil moisture has important implications in both weather and…

Machine Learning · Computer Science 2020-11-30 Kuai Fang , Chaopeng Shen , Daniel Kifer

For recursive circular filtering based on circular statistics, we introduce a general framework for estimation of a circular state based on different circular distributions, specifically the wrapped normal distribution and the von Mises…

Systems and Control · Computer Science 2018-01-01 Gerhard Kurz , Igor Gilitschenski , Uwe D. Hanebeck

Accurate, efficient, and robust state estimation is more important than ever in robotics as the variety of platforms and complexity of tasks continue to grow. Historically, discrete-time filters and smoothers have been the dominant…

Stochastic parameterizations are increasingly being used to represent the uncertainty associated with model errors in ensemble forecasting and data assimilation. One of the challenges associated with the use of these parameterizations is…

Computation · Statistics 2019-10-23 Guillermo Scheffler , Juan Ruiz , Manuel Pulido

For robots with low rigidity, determining the robot's state based solely on kinematics is challenging. This is particularly crucial for a robot whose entire body is in contact with the environment, as accurate state estimation is essential…

Robotics · Computer Science 2024-10-22 Kengo Iwao , Hikaru Arita , Kenji Tahara

Satellite dynamics and tracking remain important challenges in the context of space exploration and communication systems. Accurate state estimation is essential to maintain reliable orbital motion and system performance. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Moh Kamalul Wafi

State-space models are a popular statistical framework for analysing sequential data. Within this framework, particle filters are often used to perform inference on non-linear state-space models. We introduce a new method, StateMixNN, that…

Machine Learning · Computer Science 2025-03-28 Benjamin Cox , Santiago Segarra , Victor Elvira

The increasing integration of distributed energy resources (DERs) is transforming power systems into complex, decentralized networks, particularly at the distribution level, where active distribution networks (ADNs) introduce new challenges…

Optimization and Control · Mathematics 2025-07-14 J. G. De la Varga , J. M. Morales , S. Pineda

This paper is concerned with developing a novel distributed Kalman filtering algorithm over wireless sensor networks based on randomized consensus strategy. Compared with the centralized algorithm, distributed filtering techniques require…

Systems and Control · Computer Science 2018-10-08 Jiahu Qin , Jie Wang , Ling Shi , Yu Kang

This paper introduces a novel distributed optimization technique for networked systems, which removes the dependency on specific parameter choices, notably the learning rate. Traditional parameter selection strategies in distributed…

Optimization and Control · Mathematics 2024-04-23 Rodrigo Aldana-López , Alessandro Macchelli , Giuseppe Notarstefano , Rosario Aragüés , Carlos Sagüés

One of the primary challenges of system identification is determining how much data is necessary to adequately fit a model. Non-asymptotic characterizations of the performance of system identification methods provide this knowledge. Such…

Systems and Control · Electrical Eng. & Systems 2019-09-06 Bruce Lee , Andrew Lamperski

We develop cloud-assisted remote sensing techniques for enabling distributed consensus estimation of unknown parameters in a given geographic area. We first propose a distributed sensor network virtualization algorithm that searches for,…

Networking and Internet Architecture · Computer Science 2015-01-16 Sherif Abdelwahab , Bechir Hamdaoui , Mohsen Guizani
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