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This paper develops a new nonlinear filter, called Moment-based Kalman Filter (MKF), using the exact moment propagation method. Existing state estimation methods use linearization techniques or sampling points to compute approximate values…

Robotics · Computer Science 2023-01-24 Yutaka Shimizu , Ashkan Jasour , Maani Ghaffari , Shinpei Kato

Water treatment and liquid storage are the two plants implementing the hydraulic three-tank system. Maintaining certain levels is the critical scenario so that the systems run as desired. To deal with, the optimal linear control and the…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Bambang L. Widjiantoro , Katherin Indriawati , Moh Kamalul Wafi

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

Achieving reliable communication over different channels and modes is one of the main goals of Mode Division Multiplexing-Wavelength Division Multiplexing (MDM-WDM) communication networks. The reliability can be described by minimum Signal…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Mohammad Ali Amirabadi , Mohammad Hossein Kahaei , S. Alireza Nezamalhosseini

Multi-cell coordinated beamforming (MCBF), where multiple base stations (BSs) collaborate with each other in the beamforming design for mitigating the inter-cell interference, has been a subject drawing great attention recently. Most MCBF…

Information Theory · Computer Science 2015-10-28 Chao Shen , Tsung-Hui Chang , Kun-Yu Wang , Zhengding Qiu , Chong-Yung Chi

In this article, we consider the performance analysis of a decode-and-forward (DF) cooperative relaying (CR) scheme over channels impaired by bursty impulsive noise. Although, Middleton class-A model and Bernoulli-Gaussian model give good…

Signal Processing · Electrical Eng. & Systems 2019-03-05 Md Sahabul Alam , Fabrice Labeau , Georges Kaddoum

Dynamic operation of biological processes, such as anaerobic digestion (AD), requires reliable process monitoring to guarantee stable operating conditions at all times. Unscented Kalman filters (UKF) are an established tool for nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Simon Hellmann , Terrance Wilms , Stefan Streif , Sören Weinrich

In this paper, a new robust Student's t based stochastic cubature filter (RSTSCF) is proposed for nonlinear state-space model with heavy-tailed process and measurement noises. The heart of the RSTSCF is a stochastic Student's t spherical…

Applications · Statistics 2017-04-04 Yulong Huang , Yonggang Zhang

We consider state and parameter estimation for a dynamical system having both time-varying and time-invariant parameters. It has been shown that the robustness of the Markov Chain Monte Carlo (MCMC) algorithm for estimating time-invariant…

Computational Engineering, Finance, and Science · Computer Science 2022-10-18 Philippe Bisaillon , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

We formulate the discrete-time inverse optimal control problem of inferring unknown parameters in the objective function of an optimal control problem from measurements of optimal states and controls as a nonlinear filtering problem. This…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Tian Zhao , Timothy L. Molloy

Sparseness and robustness are two important properties for many machine learning scenarios. In the present study, regarding the maximum correntropy criterion (MCC) based robust regression algorithm, we investigate to integrate the MCC…

Machine Learning · Computer Science 2023-11-22 Yuanhao Li , Badong Chen , Okito Yamashita , Natsue Yoshimura , Yasuharu Koike

This paper suggests a few novel Cholesky-based square-root algorithms for the maximum correntropy criterion Kalman filtering. In contrast to the previously obtained results, new algorithms are developed in the so-called {\it condensed} form…

Optimization and Control · Mathematics 2023-10-31 Maria Kulikova

Clustering is a representative unsupervised method widely applied in multi-modal and multi-view scenarios. Multiple kernel clustering (MKC) aims to group data by integrating complementary information from base kernels. As a representative,…

Machine Learning · Computer Science 2022-07-14 Junpu Zhang , Liang Li , Siwei Wang , Jiyuan Liu , Yue Liu , Xinwang Liu , En Zhu

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

Data Analysis, Statistics and Probability · Physics 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynamics is infinite dimensional, but linear. Using Extended…

Dynamical Systems · Mathematics 2025-11-07 Diego Olguín , Axel Osses , Héctor Ramírez

We propose kernel sequential Monte Carlo (KSMC), a framework for sampling from static target densities. KSMC is a family of sequential Monte Carlo algorithms that are based on building emulator models of the current particle system in a…

Computation · Statistics 2017-07-26 Ingmar Schuster , Heiko Strathmann , Brooks Paige , Dino Sejdinovic

We study distributed filtering for a class of uncertain systems over corrupted communication channels. We propose a distributed robust Kalman filter with stochastic gains, through which upper bounds of the conditional mean square estimation…

Systems and Control · Electrical Eng. & Systems 2021-04-05 Xingkang He , Karl Henrik Johansson , Haitao Fang

Error entropy is a important nonlinear similarity measure, and it has received increasing attention in many practical applications. The default kernel function of error entropy criterion is Gaussian kernel function, however, which is not…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Jiacheng He , Gang Wang , Bei Peng , Zhenyu Feng , Kun Zhang

We introduce a gradient-based learning method to automatically adapt Markov chain Monte Carlo (MCMC) proposal distributions to intractable targets. We define a maximum entropy regularised objective function, referred to as generalised speed…

Machine Learning · Statistics 2020-01-07 Michalis K. Titsias , Petros Dellaportas

Intelligent vehicles in autonomous driving and obstacle avoidance, the precise relative state of vehicles put forward a higher demand. For a vehicle-borne sensor network with time-varying transmission delays, the problem of coordinate…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Hang Yu , Keren Dai , Haojie Li , Yao Zou , Xiang Ma , Shaojie Ma , He Zhang