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The Kalman filter (KF) and the extended Kalman filter (EKF) are well established techniques for state estimation. However, the choice of the filter tuning parameters still poses a major challenge for the engineers [1]. In the present work,…

Adaptation and Self-Organizing Systems · Physics 2013-02-26 Manika Saha , Bhaswati Goswami , Ratna Ghosh

For a coronagraph to detect faint exoplanets, it will require focal plane wavefront control techniques to continue reaching smaller angular separations and higher contrast levels. These correction algorithms are iterative and the control…

Instrumentation and Methods for Astrophysics · Physics 2013-06-28 Tyler D. Groff , N. Jeremy Kasdin

This paper is concerned with the problem of distributed Kalman filtering in a network of interconnected subsystems with distributed control protocols. We consider networks, which can be either homogeneous or heterogeneous, of linear…

Systems and Control · Computer Science 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

Kalman filtering has been traditionally applied in three application areas of estimation, state estimation, parameter estimation (a.k.a. model updating), and dual estimation. However, Kalman filter is often not sufficient when experimenting…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Johnny Condori , Amin Maghareh , Shirley Dyke

The application of neural networks in modeling dynamic systems has become prominent due to their ability to estimate complex nonlinear functions. Despite their effectiveness, neural networks face challenges in long-term predictions, where…

Machine Learning · Computer Science 2025-06-10 Parham Oveissi , Turibius Rozario , Ankit Goel

Tightly focused optical dipole traps induce vector light shifts ("fictitious magnetic fields") which complicate their use for single-atom trapping and manipulation. The problem can be mitigated by adding a larger, real magnetic field, but…

Atomic Physics · Physics 2018-02-14 Sébastien Garcia , Jakob Reichel , Romain Long

This paper develops a robust extended Kalman filter to estimate the rotor angles and the rotor speeds of synchronous generators of a multimachine power system. Using a batch-mode regression form, the filter processes together predicted…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Marcos Netto , Junbo Zhao , Lamine Mili

Object triangulation, 3-D object tracking, feature correspondence, and camera calibration are key problems for estimation from camera networks. This paper addresses these problems within a unified Bayesian framework for joint multi-object…

Computer Vision and Pattern Recognition · Computer Science 2014-10-10 Jeremie Houssineau , Daniel Clark , Spela Ivekovic , Chee Sing Lee , Jose Franco

We develop a fast algorithm for Kalman Filter applied to the random walk forecast model. The key idea is an efficient representation of the estimate covariance matrix at each time-step as a weighted sum of two contributions - the process…

Numerical Analysis · Mathematics 2015-05-13 Arvind K. Saibaba , Eric Miller , Peter K. Kitanidis

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

State estimation is crucial for legged robots as it directly affects control performance and locomotion stability. In this paper, we propose an Adaptive Invariant Extended Kalman Filter to improve proprioceptive state estimation for legged…

Robotics · Computer Science 2025-10-21 Kyung-Hwan Kim , DongHyun Ahn , Dong-hyun Lee , JuYoung Yoon , Dong Jin Hyun

Many Multi-Object Tracking (MOT) approaches exploit motion information to associate all the detected objects across frames. However, many methods that rely on filtering-based algorithms, such as the Kalman Filter, often work well in linear…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Xudong Han , Nobuyuki Oishi , Yueying Tian , Elif Ucurum , Rupert Young , Chris Chatwin , Philip Birch

Collider experiments are equipped with trigger systems that rapidly inspect the physics content emerging from collisions to decide whether the resulting products are worth saving for later analysis. One crucial aspect for analyzing the…

High Energy Physics - Experiment · Physics 2026-04-14 Andrea Coccaro , Carlo Schiavi , Alessandro Zaio

When tracking a target particle that is interacting with nearest neighbors in a known way, positional data of the neighbors can be used to improve the state estimate. Effects of the accuracy of such positional data on the target track…

Plasma Physics · Physics 2011-12-19 Neil P. Oxtoby , Jason F. Ralph , Dmitry Samsonov , Céline Durniak

The use of data assimilation for the merging of observed data with dynamical models is becoming standard in modern physics. If a parametric model is known, methods such as Kalman filtering have been developed for this purpose. If no model…

Data Analysis, Statistics and Probability · Physics 2018-01-17 Franz Hamilton , Tyrus Berry , Timothy Sauer

In this paper, we propose an approach to address the problems with ambiguity in tuning the process and observation noises for a discrete-time linear Kalman filter. Conventional approaches to tuning (e.g. using normalized estimation error…

Systems and Control · Electrical Eng. & Systems 2021-08-25 Zhaozhong Chen , Christoffer Heckman , Simon Julier , Nisar Ahmed

In this paper, we focus on batch state estimation for linear systems. This problem is important in applications such as environmental field estimation, robotic navigation, and target tracking. Its difficulty lies on that limited operational…

Optimization and Control · Mathematics 2016-09-27 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

This paper is concerned with the problem of tracking single or multiple targets with multiple non-target specific observations (measurements). For such filtering problems with data association uncertainty, a novel feedback control-based…

Probability · Mathematics 2014-04-18 Tao Yang , Prashant G. Mehta

Kalman Filtering problems often have inherent and known constraints in the physical dynamics that are not exploited despite potentially significant gains (e.g., fixed speed of a motor). In this paper, we review existing methods and propose…

Optimization and Control · Mathematics 2009-02-11 Nachi Gupta

We introduce a novel nonlinear Kalman filter that utilizes reparametrization gradients. The widely used parametric approximation is based on a jointly Gaussian assumption of the state-space model, which is in turn equivalent to minimizing…

Machine Learning · Computer Science 2023-03-09 San Gultekin , Brendan Kitts , Aaron Flores , John Paisley