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The feedback particle filter (FPF) is an innovative, control-oriented and resampling-free adaptation of the traditional particle filter (PF). In the FPF, individual particles are regulated via a feedback gain, and the corresponding gain…

Optimization and Control · Mathematics 2026-04-08 Ruoyu Wang , Huimin Miao , Xue Luo

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

Computing accurate periodic responses in strongly nonlinear or even non-smooth vibration systems remains a fundamental challenge in nonlinear dynamics. Existing numerical methods, such as the Harmonic Balance Method (HBM) and the Shooting…

Numerical Analysis · Mathematics 2025-10-28 Limin Cao , Yanmao Chen , Li Wang , Loic Salles , Zechang Zheng

State estimation for hybrid systems that undergo intermittent contact with their environments, such as extraplanetary robots and satellites undergoing docking operations, is difficult due to the discrete uncertainty propagation during…

Robotics · Computer Science 2026-03-23 Karthik Shaji , Sreeranj Jayadevan , Bo Yuan , Hongzhe Yu , Yongxin Chen

Electrostatic field matching (EFM) has recently appeared as a novel physics-inspired paradigm for data generation and transfer using the idea of an electric capacitor. However, it requires modeling electrostatic fields using neural…

Machine Learning · Computer Science 2026-03-04 Stepan I. Manukhov , Alexander Kolesov , Vladimir V. Palyulin , Alexander Korotin

In this work, the Immersed Boundary Method (IBM) with feedback forcing introduced by Goldstein et al. (1993) and often referred in the literature as the Virtual Boundary Method (VBM), is addressed. The VBM has been extensively applied both…

Numerical Analysis · Mathematics 2021-10-25 Michele Girfoglio , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

In this paper, a dual estimation methodology is developed for both time-varying parameters and states of a nonlinear stochastic system based on the Particle Filtering (PF) scheme. Our developed methodology is based on a concurrent…

Systems and Control · Computer Science 2016-06-29 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

This paper studies an output feedback stabilization control framework for discrete-time linear systems with stochastic dynamics determined by an independent and identically distributed (i.i.d.) process. The controller is constructed with an…

Systems and Control · Computer Science 2019-04-11 Yohei Hosoe , Dimitri Peaucelle

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

Optimization and Control · Mathematics 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

Machine Learning · Computer Science 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang

A nonlinear-dynamical algorithm for city planning is proposed as an Impulse Pattern Formulation (IPF) for predicting relevant parameters like health, artistic freedom, or financial developments of different social or political stakeholders…

Adaptation and Self-Organizing Systems · Physics 2024-06-18 Rolf Bader , Simon Linke , Stefanie Gernert

This paper presents and discusses an implementation of a multiple target tracking method, which is able to deal with target interactions and prevent tracker failures due to hijacking. The referenced approach uses a Markov Chain Monte Carlo…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Helder F. S. Campos , Nuno Paulino

The engineering and control of devices at the quantum-mechanical level--such as those consisting of small numbers of atoms and photons--is a delicate business. The fundamental uncertainty that is inherently present at this scale manifests…

Probability · Mathematics 2009-05-02 Luc Bouten , Ramon van Handel , Matthew R. James

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

Optimization and Control · Mathematics 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

In this paper, we propose an algorithm for channel estimation, acquisition and tracking, for orthogonal frequency division multiplexing (OFDM) systems. The proposed algorithm is suitable for vehicular communications that encounter very high…

Information Theory · Computer Science 2016-02-03 Mahmoud Ashour , Amr El-Keyi

We present a novel particle filtering framework for continuous-time dynamical systems with continuous-time measurements. Our approach is based on the duality between estimation and optimal control, which allows reformulating the estimation…

Optimization and Control · Mathematics 2021-10-08 Qinsheng Zhang , Amirhossein Taghvaei , Yongxin Chen

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

Systems and Control · Electrical Eng. & Systems 2024-03-21 J. Matoušek , J. Duník , M. Brandner

The investigation of tumor invasion and metastasis dynamics is crucial for advancements in cancer biology and treatment. Many mathematical models have been developed to study the invasion of host tissue by tumor cells. In this paper, we…

Numerical Analysis · Mathematics 2024-07-09 Boyi Hu , Zhongjian Wang , Jack Xin , Zhiwen Zhang

Feedback particle filters (FPFs) are Monte-Carlo approximations of the solution of the filtering problem in continuous time. The samples or particles evolve according to a feedback control law in order to track the posterior distribution.…

Optimization and Control · Mathematics 2019-09-13 Ehsan Abedi , Simone Carlo Surace

Link prediction aims to identify potential missing triples in knowledge graphs. To get better results, some recent studies have introduced multimodal information to link prediction. However, these methods utilize multimodal information…

Artificial Intelligence · Computer Science 2023-03-21 Xinhang Li , Xiangyu Zhao , Jiaxing Xu , Yong Zhang , Chunxiao Xing