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Finding a control Lyapunov function (CLF) in a dynamical system with a controller is an effective way to guarantee stability, which is a crucial issue in safety-concerned applications. Recently, deep learning models representing CLFs have…

机器学习 · 计算机科学 2025-11-04 Yupu Lu , Shijie Lin , Hao Xu , Zeqing Zhang , Jia Pan

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…

系统与控制 · 电气工程与系统科学 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

We present a practical implementation of the ensemble Kalman (EnKF) filter based on an iterative Sherman-Morrison formula. The new direct method exploits the special structure of the ensemble-estimated error covariance matrices in order to…

数值分析 · 计算机科学 2015-02-03 Elias D. Nino-Ruiz , Adrian Sandu , Jeffrey Anderson

This paper introduces a Gaussian Bayesian Network-based Extended Kalman Filter (GBN-EKF) for non-linear state estimators on stiff and ill-conditioned continuous-discrete stochastic systems, with a further analysis on systems with…

最优化与控制 · 数学 2025-11-05 Priyank Behera , C. Robert Kenley

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

One hidden yet important issue for developing neural network potentials (NNPs) is the choice of training algorithm. Here we compare the performance of two popular training algorithms, the adaptive moment estimation algorithm (Adam) and the…

化学物理 · 物理学 2021-12-15 Yunqi Shao , Florian M. Dietrich , Carl Nettelblad , Chao Zhang

In the classical Kalman filter(KF), the estimated state is a linear combination of the one-step predicted state and measurement state, their confidence level change when the prediction mean square error matrix and covariance matrix of…

信号处理 · 电气工程与系统科学 2023-09-19 Benyang Gong , Jiacheng He , Gang Wang , Bei Peng

Current AI/ML methods for data-driven engineering use models that are mostly trained offline. Such models can be expensive to build in terms of communication and computing cost, and they rely on data that is collected over extended periods…

机器学习 · 计算机科学 2021-12-16 Xiaoxuan Wang , Rolf Stadler

Input estimation is a signal processing technique associated with deconvolution of measured signals after filtering through a known dynamic system. Kitanidis and others extended this to the simultaneous estimation of the input signal and…

系统与控制 · 电气工程与系统科学 2020-08-24 Mohammad Ali Abooshahab , Mohammed M. J. Alyaseen , Robert R. Bitmead , Morten Hovd

We propose a decentralized online learning algorithm for distributed random inverse problems over network graphs with online measurements, and unifies the distributed parameter estimation in Hilbert spaces and the least mean square problem…

机器学习 · 计算机科学 2026-04-09 Xiwei Zhang , Tao Li , Yan Chen , Qianyuan Long

Extended Kalman filter (EKF) does not guarantee consistent mean and covariance under linearization, even though it is the main framework for robotic localization. While Lie group improves the modeling of the state space in localization, the…

机器人学 · 计算机科学 2019-01-28 Tsang-Kai Chang , Shengkang Chen , Ankur Mehta

This paper studies reliability-guaranteed decoding for variable-length stop-feedback (VLSF) codes over correlated noncoherent fading channels. The decoding rule is based on the evolution of the information density associated with a given…

信息论 · 计算机科学 2026-04-20 Guodong Sun , Samir M. Perlaza , Philippe Mary , Jean-Marie Gorce

A new class of iterated linearization-based nonlinear filters, dubbed dynamically iterated filters, is presented. Contrary to regular iterated filters such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter…

信号处理 · 电气工程与系统科学 2023-09-15 Anton Kullberg , Isaac Skog , Gustaf Hendeby

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…

系统与控制 · 计算机科学 2017-10-17 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

We propose Hypernetwork Kalman Filter (HKF) for tracking applications with multiple different dynamics. The HKF combines generalization power of Kalman filters with expressive power of neural networks. Instead of keeping a bank of Kalman…

信号处理 · 电气工程与系统科学 2022-02-23 Kumar Pratik , Rana Ali Amjad , Arash Behboodi , Joseph B. Soriaga , Max Welling

The proof of convergence of the standard ensemble Kalman filter (EnKF) from Legland etal. (2011) is extended to non-Gaussian state space models. A density-based deterministic approximation of the mean-field limit EnKF (DMFEnKF) is proposed,…

概率论 · 数学 2016-06-30 Kody J. H. Law , Hamidou Tembine , Raul Tempone

FastSLAM is a framework for simultaneous localization using a Rao-Blackwellized particle filter. In FastSLAM, particle filter is used for the mobile robot pose (position and orientation) estimation, and an Extended Kalman Filter (EKF) is…

机器人学 · 计算机科学 2010-03-23 R. Havangi , M. Teshnehlab , M. A. Nekoui

Typical iterated filters, such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter (IUKF), and iterated posterior linearization filter (IPLF), have been developed to improve the linearization point (or density)…

最优化与控制 · 数学 2024-04-25 Anton Kullberg , Martin A. Skoglund , Isaac Skog , Gustaf Hendeby

As Federated Learning (FL) expands to larger and more distributed environments, consistency in training is challenged by network-induced delays, clock unsynchronicity, and variability in client updates. This combination of factors may…

机器学习 · 计算机科学 2025-06-12 Baran Can Gül , Stefanos Tziampazis , Nasser Jazdi , Michael Weyrich

This paper addresses state of charge (SOC) estimation for lithium iron phosphate (LFP) batteries, where the relatively flat open-circuit voltage (OCV-SOC) characteristic reduces observability. A residual bias compensation dual extended…

系统与控制 · 电气工程与系统科学 2025-10-28 Feng Guo , Luis D. Couto , Khiem Trad , Guangdi Hu , Mohammadhosein Safari