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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 extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

机器人学 · 计算机科学 2025-03-11 Nadav Cohen , Itzik Klein

Tag population estimation has recently attracted significant research attention due to its paramount importance on a variety of radio frequency identification (RFID) applications. However, most, if not all, of existing estimation mechanisms…

系统与控制 · 计算机科学 2015-11-30 Jihong Yu , Lin Chen

Combining the classical Kalman filter (KF) with a deep neural network (DNN) enables tracking in partially known state space (SS) models. A major limitation of current DNN-aided designs stems from the need to train them to filter data…

信号处理 · 电气工程与系统科学 2024-01-10 Xiaoyong Ni , Guy Revach , Nir Shlezinger

This paper considers the Linear Minimum Variance recursive state estimation for the linear discrete time dynamic system with random state transition and measurement matrices, i.e., random parameter matrices Kalman filtering. It is shown…

信息论 · 计算机科学 2007-07-13 Dandan Luo , Yunmin Zhu

We propose an affine-mapping based variational Ensemble Kalman filter for sequential Bayesian filtering problems with generic observation models. Specifically, the proposed method is formulated as to construct an affine mapping from the…

数值分析 · 数学 2021-09-06 Linjie Wen , Jinglai Li

We study state estimation for discrete-time linear stochastic systems under distributional ambiguity in the initial state, process noise, and measurement noise. We propose a noise-centric distributionally robust Kalman filter (DRKF) based…

系统与控制 · 电气工程与系统科学 2026-01-19 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

统计理论 · 数学 2026-05-27 Hans Reimann , Sebastian Reich

In this paper we present a method for updating robotic state belief through contact with uncertain surfaces and apply this update to a Kalman filter for more accurate state estimation. Examining how guard surface uncertainty affects the…

机器人学 · 计算机科学 2022-08-02 J. Joe Payne , Nathan J. Kong , Aaron M. Johnson

This paper proposes new methodology for sequential state and parameter estimation within the ensemble Kalman filter. The method is fully Bayesian and propagates the joint posterior density of states and parameters over time. In order to…

统计方法学 · 统计学 2016-11-14 Jonathan R. Stroud , Matthias Katzfuss , Christopher K. Wikle

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

机器学习 · 计算机科学 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

计算机视觉与模式识别 · 计算机科学 2021-02-23 Huu Le , Christopher Zach

This paper considers the problem of data-driven robust control design for nonlinear systems, for instance, obtained when discretizing nonlinear partial differential equations (PDEs). A robust learning control approach is developed for…

最优化与控制 · 数学 2025-09-01 Anant A. Joshi , Saviz Mowlavi , Mouhacine Benosman

This paper investigates the performance of the adaptive matched filtering (AMF) in cluttered environments, particularly when operating with superimposed signals. Since the instantaneous signal-to-clutter-plus-noise ratio (SCNR) is a random…

信息论 · 计算机科学 2025-12-10 Lei Xie , Hengtao He , Yifeng Xiong , Fan Liu , Shi Jin

Learning governing equations from data is central to understanding the behavior of physical systems across diverse scientific disciplines, including physics, biology, and engineering. The Sindy algorithm has proven effective in leveraging…

机器学习 · 计算机科学 2025-11-17 Gianluigi Pillonetto , Akram Yazdani , Aleksandr Aravkin

Nonlinear extensions of the Kalman filter (KF), such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are indispensable for state estimation in complex dynamical systems, yet the conditions for a nonlinear KF to…

系统与控制 · 电气工程与系统科学 2026-03-25 Shida Jiang , Jaewoong Lee , Shengyu Tao , Scott Moura

Since the innovation of the ubiquitous Kalman filter more than five decades back it is well known that to obtain the best possible estimates the tuning of its statistics $X_0$, $P_0$, $\Theta$, $R$ and $Q$ namely initial state and…

统计方法学 · 统计学 2015-05-28 M. R. Ananthasayanam , Shyam Mohan M , Naren Naik , R. M. O. Gemson

The utilization of distributed arithmetic (DA) in AF algorithms has gained significant attention in recent years due to its potential to enhance computational efficiency and reduce resource requirements. This paper presents an exploration…

系统与控制 · 电气工程与系统科学 2024-03-19 Mohd. Tasleem Khan

State estimation of dynamical systems from noisy observations is a fundamental task in many applications. It is commonly addressed using the linear Kalman filter (KF), whose performance can significantly degrade in the presence of outliers…

信号处理 · 电气工程与系统科学 2024-08-27 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

流体动力学 · 物理学 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin