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Model-based collaborative filtering analyzes user-item interactions to infer latent factors that represent user preferences and item characteristics in order to predict future interactions. Most collaborative filtering algorithms assume…

Machine Learning · Computer Science 2016-11-02 Ghassen Jerfel , Mehmet E. Basbug , Barbara E. Engelhardt

The ability of ensemble Kalman filter (EnKF) algorithms to extract information from observations is analyzed with the aid of the concept of the degrees of freedom for signal (DFS). A simple mathematical argument shows that DFS for EnKF is…

Data Analysis, Statistics and Probability · Physics 2021-03-26 Daisuke Hotta , Yoichiro Ota

Particle filtering (PF) is an often used method to estimate the states of dynamical systems. A major limitation of the standard PF method is that the dimensionality of the state space increases as the time proceeds and eventually may cause…

Computation · Statistics 2019-08-30 Linjie Wen , Jiangqi Wu , Linjun Lu , Jinglai Li

Nonlinear Kalman Filters are powerful and widely-used techniques when trying to estimate the hidden state of a stochastic nonlinear dynamic system. In this paper, we extend the Smart Sampling Kalman Filter (S2KF) with a new point symmetric…

Systems and Control · Computer Science 2015-06-11 Jannik Steinbring , Martin Pander , Uwe D. Hanebeck

In this paper, we propose and develop a methodology for nonlinear systems health monitoring by modeling the damage and degradation mechanism dynamics as "slow" states that are augmented with the system "fast" dynamical states. This…

Systems and Control · Computer Science 2017-10-17 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

In this article, we present a structured Kalman filter associated with the transformation matrix for observable Kalman canonical decomposition from conventional Kalman filter (CKF) in order to generate a more accurate time scale. The…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Yuyue Yan , Takahiro Kawaguchi , Yuichiro Yano , Yuko Hanado , Takayuki Ishizaki

The extended Kalman filter (EKF) is a cornerstone of nonlinear state estimation, yet its performance is fundamentally limited by noise-model mismatch and linearization errors. We develop a residual-aware distributionally robust EKF that…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

We develop a unified and systematic framework for performing online nonnegative matrix factorization under a wide variety of important divergences. The online nature of our algorithm makes it particularly amenable to large-scale data. We…

Machine Learning · Statistics 2016-08-17 Renbo Zhao , Vincent Y. F. Tan , Huan Xu

Hilbert-Huang transform (HHT) has drawn great attention in power system analysis due to its capability to deal with dynamic signal and provide instantaneous characteristics such as frequency, damping, and amplitudes. However, its…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Zhe Yu , Di Shi , Haifeng Li , Yishen Wang , Zhehan Yi , Zhiwei Wang

Fueled by applications in sensor networks, these years have witnessed a surge of interest in distributed estimation and filtering. A new approach is hereby proposed for the Distributed Kalman Filter (DKF) by integrating a local covariance…

Systems and Control · Computer Science 2017-03-17 Ye Yuan , Ling Shi , Jun Liu , Zhiyong Chen , Hai-Tao Zhang , Jorge Goncalves

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

This article introduces a new algorithm for nonlinear state estimation based on deterministic sigma point and EKF linearized framework for priori mean and covariance respectively. This method reduces the computation cost of UKF about 50%…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Milad Behvandi , Mohammad Azam Khosravi , Amir Abolfazl Suratgar

An Ensemble Kalman Filter (EnKF, the predictor) is used make a large change in the state, followed by a Particle Filer (PF, the corrector) which assigns importance weights to describe non-Gaussian distribution. The weights are obtained by…

Computation · Statistics 2009-07-20 Jan Mandel , Jonathan D. Beezley

Kalman filtering is a powerful approach to adaptive filtering for various problems in signal processing. The frequency-domain adaptive Kalman filter (FDKF), based on the concept of the acoustic state space, provides a unifying solution to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-29 Ernst Seidel , Gerald Enzner , Pejman Mowlaee , Tim Fingscheidt

This work develops a new multifidelity ensemble Kalman filter (MFEnKF) algorithm based on linear control variate framework. The approach allows for rigorous multifidelity extensions of the EnKF, where the uncertainty in coarser fidelities…

Numerical Analysis · Mathematics 2020-07-03 Andrey A Popov , Changhong Mou , Traian Iliescu , Adrian Sandu

We study a distributed Kalman filtering problem in which a number of nodes cooperate without central coordination to estimate a common state based on local measurements and data received from neighbors. This is typically done by running a…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Damián Marelli , Tianju Sui , Minyue Fu

We describe an application of the Invariant Extended Kalman Filter (IEKF) design methodology to the scan matching SLAM problem. We review the theoretical foundations of the IEKF and its practical interest of guaranteeing robustness to poor…

Systems and Control · Computer Science 2014-10-17 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

Machine Learning · Statistics 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart

Ensemble Kalman filter (EnKF) has been widely used in state estimation and parameter estimation for the dynamic system where observational data is obtained sequentially in time. To reduce uncertainty and accelerate posterior inference, a…

Numerical Analysis · Mathematics 2018-11-14 Yuming Ba , Lijian Jiang , Na Ou

Online estimation of electromechanical oscillation parameters provides essential information to prevent system instability and blackout and helps to identify event categories and locations. We formulate the problem as a state space model…

Optimization and Control · Mathematics 2017-06-19 Zhe Yu , Di Shi , Zhiwei Wang , Qibing Zhang , Junhui Huang , Sen Pan