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In this paper, we propose a filtering algorithm for simultaneously estimating the mode, input and state of hidden mode switched linear stochastic systems with unknown inputs. Using a multiple-model approach with a bank of linear input and…

Optimization and Control · Mathematics 2016-06-28 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

Kalman Filter requires the true parameters of the model and solves optimal state estimation recursively. Expectation Maximization (EM) algorithm is applicable for estimating the parameters of the model that are not available before Kalman…

Machine Learning · Computer Science 2021-05-26 Zhuangwei Shi

Reduced-order models based on level-set methods are widely used tools to qualitatively capture and track the nonlinear dynamics of an interface. The aim of this paper is to develop a physics-informed, data-driven, statistically rigorous…

Computational Physics · Physics 2019-09-20 Hans Yu , Matthew P. Juniper , Luca Magri

In this paper, we present a unified optimal and exponentially stable filter for linear discrete-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense, without making any…

Optimization and Control · Mathematics 2014-06-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

We consider a state estimation problem where observations are made by multiple sensors. These observations are communicated over a lossy wireless network to a central base station that computes estimates via a Kalman filter. The goal is to…

Optimization and Control · Mathematics 2008-09-25 Ufuk Topcu , Kenneth Hsu , Kameshwar Poolla

In this paper, we consider the problem of attack-resilient state estimation, that is to reliably estimate the true system states despite two classes of attacks: (i) attacks on the switching mechanisms and (ii) false data injection attacks…

Optimization and Control · Mathematics 2017-07-25 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

The well-known Kalman filters model dynamical systems by relying on state-space representations with the next state updated, and its uncertainty controlled, by fresh information associated with newly observed system outputs. This paper…

Machine Learning · Computer Science 2023-06-21 Cesare Alippi , Daniele Zambon

The use of state estimation technique offers a means of inferring the rotor-effective wind speed based upon solely standard measurements of the turbine. For the ease of design and computational concerns, such estimators are typically built…

Systems and Control · Electrical Eng. & Systems 2021-07-01 Wai Hou Lio , Fanzhong Meng

The unscented Kalman filter (UKF) is a commonly used algorithm capable of estimating the states of nonlinear dynamic systems. It carefully chooses a set of sample points, called sigma points that capture the nonlinear system states…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Amit Levy , Itzik Klein

The Derivative-free nonlinear Kalman Filter is proposed for state estimation and fault diagnosis in distributed parameter systems and particularly in dynamical systems described by partial differential equations of the nonlinear wave type.…

Systems and Control · Computer Science 2013-11-05 Gerasimos G. Rigatos

Collaborative filtering has been widely used in recommendation systems to recommend items that users might like. However, collaborative filtering based recommendation systems are vulnerable to shilling attacks. Malicious users tend to…

Cryptography and Security · Computer Science 2019-08-21 Xin Liu , Yingyuan Xiao , Xu Jiao , Wenguang Zheng , Zihao Ling

The performance of ensemble-based data assimilation techniques that estimate the state of a dynamical system from partial observations depends crucially on the prescribed uncertainty of the model dynamics and of the observations. These are…

Computation · Statistics 2021-02-24 Tadeo Javier Cocucci , Manuel Pulido , Magdalena Lucini , Pierre Tandeo

In this paper, we present a novel optimization algorithm designed specifically for estimating state-space models to deal with heavy-tailed measurement noise and constraints. Our algorithm addresses two significant limitations found in…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

In conventional distributed Kalman filtering, employing diffusion strategies, each node transmits its state estimate to all its direct neighbors in each iteration. In this paper we propose a partial diffusion Kalman filter (PDKF) for state…

Systems and Control · Computer Science 2017-05-26 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Wael Bazzi , Saeid Sanei

Modern autonomous systems are purposed for many challenging scenarios, where agents will face unexpected events and complicated tasks. The presence of disturbance noise with control command and unknown inputs can negatively impact robot…

Robotics · Computer Science 2023-09-22 Zida Wu , Zhaoliang Zheng , Ankur Mehta

Structural identification and damage detection can be generalized as the simultaneous estimation of input forces, physical parameters, and dynamical states. Although Kalman-type filters are efficient tools to address this problem, the…

Applications · Statistics 2022-10-04 Daniz Teymouri , Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou

Kalman filter is a best linear unbiased state estimator. It is also comprehensible from the point view of the Bayesian estimation. However, this note gives a detailed derivation of Kalman filter from the mutual information perspective for…

Information Theory · Computer Science 2021-01-05 Yarong Luo , Jianlang Hu , Chi Guo

The problem of state estimation has a long history with many successful algorithms that allow analytical derivation or approximation of posterior filtering distribution given the noisy observations. This report tries to conclude previous…

Machine Learning · Computer Science 2025-01-06 Nikita Kostin

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

The Kalman filter computes the optimal variable-gain using prior knowledge of the initial state and random (process and measurement) noise distributions, which are assumed to be Gaussian with known variance. However, when these…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Hugh Lachlan Kennedy