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We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations. One of the main…

系统与控制 · 计算机科学 2015-10-20 Axel Barrau , Silvère Bonnabel

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

应用统计 · 统计学 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch

Over the years data assimilation methods have been developed to obtain estimations of uncertain model parameters by taking into account a few observations of a model state. The most reliable methods of MCMC are computationally expensive.…

应用统计 · 统计学 2018-11-14 Sangeetika Ruchi , Svetlana Dubinkina

Data-driven models of dynamical systems require extensive amounts of training data. For many practical applications, gathering sufficient data is not feasible due to cost or safety concerns. This work uses the Subset Extended Kalman Filter…

机器学习 · 计算机科学 2026-03-04 Joshua E. Hammond , Tyler A. Soderstrom , Brian A. Korgel , Michael Baldea

We propose a Dynamical Low-Rank Ensemble Kalman Filter (DLR-ENKF) for efficient joint state-parameter estimation in high-dimensional dynamical systems. The method extends the DLR-ENKF formulation of arXiv:2509.11210 to the augmented…

数值分析 · 数学 2026-02-09 Fabio Nobile , Sébastien Riffaud , Thomas Trigo Trindade

The Gaussian process state-space models (GPSSMs) represent a versatile class of data-driven nonlinear dynamical system models. However, the presence of numerous latent variables in GPSSM incurs unresolved issues for existing variational…

机器学习 · 计算机科学 2024-07-23 Zhidi Lin , Yiyong Sun , Feng Yin , Alexandre Hoang Thiéry

The ensemble Kalman filter is a well-known and celebrated data assimilation algorithm. It is of particular relevance as it used for high-dimensional problems, by updating an ensemble of particles through a sample mean and covariance…

数值分析 · 数学 2022-07-27 Neil K. Chada

In this dissertation, we investigate the issue of robust localization in swarms of heterogeneous mobile agents with multiple and time-varying sensing modalities. Our focus is the development of filter-based and decoupled estimators under…

机器人学 · 计算机科学 2024-08-23 Roland Jung

State-of-the-art ensemble Kalman filtering (EnKF) algorithms require incorporating localization techniques to cope with the rank deficiency and the inherited spurious correlations in their error covariance matrices. Localization techniques…

大气与海洋物理 · 物理学 2026-03-05 Boujemaa Ait-El-Fquih , Ibrahim Hoteit

The ensemble Kalman filter (EnKF) is an efficient algorithm for many data assimilation problems. In certain circumstances, however, divergence of the EnKF might be spotted. In previous studies, the authors proposed an…

大气与海洋物理 · 物理学 2014-08-19 Xiaodong Luo , Ibrahim Hoteit

The possible methodologies to handle the uncertain parameter are reviewed. The core idea of the desensitized Kalman filter is introduced. A new cost function consisting of a posterior covariance trace and trace of a weighted norm of the…

信息论 · 计算机科学 2015-04-21 Taishan Lou

Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is particularly challenging when the state is high-dimensional and…

机器学习 · 统计学 2021-07-21 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…

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…

系统与控制 · 计算机科学 2019-04-11 Yohei Hosoe , Dimitri Peaucelle

The ensemble Kalman filter (EnKF) has become a standard methodology for state estimation in high-dimensional systems, yet its various stochastic and deterministic formulations often appear conceptually disconnected. In this paper, a unified…

系统与控制 · 电气工程与系统科学 2026-04-21 Jin Won Kim

Parameter estimation in cognitive communications can be formulated as a multi-user estimation problem, which is solvable under maximum likelihood solution but involves high computational complexity. This paper presents a time-sharing and…

信息论 · 计算机科学 2011-11-17 Pengkai Zhao , Cong Shen

In this paper, a distributed Kalman filtering (DKF) algorithm is proposed based on a diffusion strategy, which is used to track an unknown signal process in sensor networks cooperatively. Unlike the centralized algorithms, no fusion center…

系统与控制 · 电气工程与系统科学 2024-11-05 Siyu Xie , Die Gan , Zhixin Liu

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

最优化与控制 · 数学 2014-10-02 Gyorgy Hexner , Haim Weiss

We propose a method to account for model error due to unresolved scales in the context of the ensemble transform Kalman filter (ETKF). The approach extends to this class of algorithms the deterministic model error formulation recently…

数据分析、统计与概率 · 物理学 2023-07-19 Lewis Mitchell , Alberto Carrassi

We study adaptive (or online) nonlinear regression with Long-Short-Term-Memory (LSTM) based networks, i.e., LSTM-based adaptive learning. In this context, we introduce an efficient Extended Kalman filter (EKF) based second-order training…

机器学习 · 计算机科学 2021-06-01 N. Mert Vural , Salih Ergüt , Suleyman S. Kozat