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We present an efficient and practical (polynomial time) algorithm for online prediction in unknown and partially observed linear dynamical systems (LDS) under stochastic noise. When the system parameters are known, the optimal linear…

Machine Learning · Computer Science 2020-10-13 Paria Rashidinejad , Jiantao Jiao , Stuart Russell

Pose estimation is a widely explored problem, enabling many robotic tasks such as grasping and manipulation. In this paper, we tackle the problem of pose estimation for objects that exhibit rotational symmetry, which are common in man-made…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Enric Corona , Kaustav Kundu , Sanja Fidler

In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous time state space model with discrete time observations by an algorithm that combines the Kalman filter and a particle…

Computation · Statistics 2019-05-22 Jian He , Asma Khedher , Peter Spreij

In an age of exponentially increasing data generation, performing inference tasks by utilizing the available information in its entirety is not always an affordable option. The present paper puts forth approaches to render tracking of…

Applications · Statistics 2017-06-07 Dimitris Berberidis , Georgios B. Giannakis

In this paper, we present a novel optimization algorithm designed specifically for estimating state-space models to deal with heavy-tailed measurement noise and constraints. Our algorithm addresses two significant limitations found in…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

Defining a multi-target motion model, which is an important step of tracking algorithms, can be very challenging. Using fixed models (as in several generative Bayesian algorithms, such as Kalman filters) can fail to accurately predict…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Mehryar Emambakhsh , Alessandro Bay , Eduard Vazquez

State estimation of a dynamical system refers to estimating the state of a system given an imperfect model, noisy measurements and some or no information about the initial state. While Kalman filtering is optimal for estimation of linear…

Optimization and Control · Mathematics 2025-02-10 Avneet Kaur , Kirsten Morris

A commonly encountered problem is the tracking of a physical object, like a maneuvering ship, aircraft, land vehicle, spacecraft or animate creature carrying a wireless device. The sensor data is often limited and inaccurate observations of…

Systems and Control · Computer Science 2015-03-02 Kevin Judd

Filtering point targets in highly cluttered and noisy data frames can be very challenging, especially for complex target motions. Fixed motion models can fail to provide accurate predictions, while learning based algorithm can be difficult…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Mehryar Emambakhsh , Alessandro Bay , Eduard Vazquez

Objective Kalman filtering has previously been applied to track neural model states and parameters, particularly at the scale relevant to EEG. However, this approach lacks a reliable method to determine the initial filter conditions and…

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

Intraoperative tracking of surgical instruments is an inevitable task of computer-assisted surgery. An optical tracking system often fails to precisely reconstruct the dynamic location and pose of a surgical tool due to the acquisition…

Robotics · Computer Science 2020-12-23 Md Ashikuzzaman , Noushin Jafarpisheh , Sunil Rottoo , Pierre Brisson , Hassan Rivaz

State estimation of dynamical systems in real-time is a fundamental task in signal processing. For systems that are well-represented by a fully known linear Gaussian state space (SS) model, the celebrated Kalman filter (KF) is a low…

Signal Processing · Electrical Eng. & Systems 2022-04-13 Guy Revach , Nir Shlezinger , Xiaoyong Ni , Adria Lopez Escoriza , Ruud J. G. van Sloun , Yonina C. Eldar

The extended Kalman filter is perhaps the most standard tool to estimate in real time the state of a dynamical system from noisy measurements of some function of the system, with extensive practical applications (such as position tracking…

Optimization and Control · Mathematics 2019-01-04 Yann Ollivier

Pose refinement is an interesting and practically relevant research direction. Pose refinement can be used to (1) obtain a more accurate pose estimate from an initial prior (e.g., from retrieval), (2) as pre-processing, i.e., to provide a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Gabriele Trivigno , Carlo Masone , Barbara Caputo , Torsten Sattler

Over the past decade, studying animal behaviour with the help of computer vision has become more popular. Replacing human observers by computer vision lowers the cost of data collection and therefore allows to collect more extensive…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Maarten Perneel , Ines Adriaens , Ben Aernouts , Jan Verwaeren

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

This paper presents an algorithm to improve state estimation for legged robots. Among existing model-based state estimation methods for legged robots, the contact-aided invariant extended Kalman filter defines the state on a Lie group to…

Robotics · Computer Science 2026-01-29 Seokju Lee , Hyun-Bin Kim , Kyung-Soo Kim

In this work, we address the problem of sensor selection for state estimation via Kalman filtering. We consider a linear time-invariant (LTI) dynamical system subject to process and measurement noise, where the sensors we use to perform…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Christopher I. Calle , Shaunak D. Bopardikar

Accurate 3D human pose estimation from single images is possible with sophisticated deep-net architectures that have been trained on very large datasets. However, this still leaves open the problem of capturing motions for which no such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Helge Rhodin , Jörg Spörri , Isinsu Katircioglu , Victor Constantin , Frédéric Meyer , Erich Müller , Mathieu Salzmann , Pascal Fua