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The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

This paper concerns Kalman filtering when the measurements of the process are censored. The censored measurements are addressed by the Tobit model of Type I and are one-dimensional with two censoring limits, while the (hidden) state vectors…

Signal Processing · Electrical Eng. & Systems 2020-02-21 Kostas Loumponias , George Tsaklidis

This paper presents a novel filter with low computational demand to address the problem of orientation estimation of a robotic platform. This is conventionally addressed by extended Kalman filtering of measurements from a sensor suit which…

Robotics · Computer Science 2016-12-02 Oscar De Silva , George K. I. Mann , Raymond G. Gosine

Motivated by the need for accurate frequency information, a novel algorithm for estimating the fundamental frequency and its rate of change in three-phase power systems is developed. This is achieved through two stages of Kalman filtering.…

Machine Learning · Statistics 2016-03-10 Sayed Pouria Talebi , Danilo P. Mandic

This paper presents an LMI-based design framework for multirate steady-state Kalman filters in systems with sensors operating at different sampling rates. The multirate system is formulated as a periodic time-varying system, where the…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Hiroshi Okajima

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…

Optimization and Control · Mathematics 2014-10-02 Gyorgy Hexner , Haim Weiss

A new algorithm has been developed at LHCb which is able to reconstruct and select very displaced vertices in real-time at the first level of the trigger (HLT1). It makes use of the Upstream Tracker (UT) and the Scintillator Fiber detector…

High Energy Physics - Experiment · Physics 2025-07-15 V. Kholoimov , B. Kishor Jashal , A. Oyanguren , V. Svintozelskyi , J. Zhuo

One-shot pose estimation for tasks such as body joint localization, camera pose estimation, and object tracking are generally noisy, and temporal filters have been extensively used for regularization. One of the most widely-used methods is…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Huseyin Coskun , Felix Achilles , Robert DiPietro , Nassir Navab , Federico Tombari

Nanomechanical resonant sensors are used in mass spectrometry via detection of resonance frequency jumps. There is a fundamental trade-off between detection speed and accuracy. Temporal and size resolution are limited by the resonator…

Instrumentation and Detectors · Physics 2024-01-17 Mete Erdogan , Nuri Berke Baytekin , Serhat Emre Coban , Alper Demir

Multi-object tracking (MOT) predominantly follows the tracking-by-detection paradigm, where Kalman filters serve as the standard motion predictor due to computational efficiency but inherently fail on non-linear motion patterns. Conversely,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Seungjae Kim , SeungJoon Lee , MyeongAh Cho

The core component of most modern trackers is a discriminative classifier, tasked with distinguishing between the target and the surrounding environment. To cope with natural image changes, this classifier is typically trained with…

Computer Vision and Pattern Recognition · Computer Science 2014-11-06 João F. Henriques , Rui Caseiro , Pedro Martins , Jorge Batista

This paper presents a novel real-time tracking system capable of improving body pose estimation algorithms in distributed camera networks. The first stage of our approach introduces a linear Kalman filter operating at the body joints level,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Alessandro Malaguti , Marco Carraro , Mattia Guidolin , Luca Tagliapietra , Emanuele Menegatti , Stefano Ghidoni

In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynamics is infinite dimensional, but linear. Using Extended…

Dynamical Systems · Mathematics 2025-11-07 Diego Olguín , Axel Osses , Héctor Ramírez

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…

Information Theory · Computer Science 2007-07-13 Dandan Luo , Yunmin Zhu

In this paper, we present a method to generate compact geometric track-maps for train-borne localization applications. Therefore, we first give a brief overview on the purpose of track maps in train-positioning applications. It becomes…

Machine Learning · Computer Science 2019-09-04 Hanno Winter , Stefan Luthardt , Volker Willert , Jürgen Adamy

Advanced detector R&D for both new and ongoing experiments in HEP requires performing computationally intensive and detailed simulations as part of the detector-design optimisation process. We propose a versatile approach to this task that…

Instrumentation and Detectors · Physics 2020-05-19 Alexey Boldyrev , Denis Derkach , Fedor Ratnikov , Andrey Shevelev

This paper discusses an efficient parallel implementation of the ensemble Kalman filter based on the modified Cholesky decomposition. The proposed implementation starts with decomposing the domain into sub-domains. In each sub-domain a…

Numerical Analysis · Computer Science 2016-06-03 Elias D. Nino , Adrian Sandu , Xinwei Deng

In this paper, we focus on sensor placement in linear dynamic estimation, where the objective is to place a small number of sensors in a system of interdependent states so to design an estimator with a desired estimation performance. In…

Optimization and Control · Mathematics 2020-05-18 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

This note is devoted to deriving the measurement update of the geometric extended Kalman filter using the multiplicative extended Kalman filtering approach, resulting in the attitude estimator referred as geometric multiplicative extended…

Robotics · Computer Science 2017-10-12 Lubin Chang

A recently developed data-driven Kalman filter requires offline measurement of the process disturbance; a requirement that is often unmet for many practical applications. We propose a solution that parametrizes the Kalman filter exclusively…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Mohamed Abdalmoaty , Roy S. Smith
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