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When classical particle filtering algorithms are used for maximum likelihood parameter estimation in nonlinear state-space models, a key challenge is that estimates of the likelihood function and its derivatives are inherently noisy. The…

Computation · Statistics 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applications it may be required to enforce the solution to satisfy…

Numerical Analysis · Mathematics 2020-08-26 Michael Herty , Giuseppe Visconti

We present a new approach to the cooperative localisation problem by applying the theory of minimum energy filtering. We consider the problem of estimating the pose of a group of mobile robots in an environment where robots can perceive…

Systems and Control · Electrical Eng. & Systems 2021-04-29 Jack Henderson , Jochen Trumpf , Mohammad Zamani

This work extends a previous study that introduced an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its objective is to address the limitations of the earlier approach. The reversible Kalman filter…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Svyatoslav Covanov , Cedric Pradalier

Placing is a necessary skill for a personal robot to have in order to perform tasks such as arranging objects in a disorganized room. The object placements should not only be stable but also be in their semantically preferred placing areas…

Robotics · Computer Science 2012-02-09 Yun Jiang , Marcus Lim , Changxi Zheng , Ashutosh Saxena

Particle filters are a widely used Monte Carlo based data assimilation technique that estimates the probability distribution of a system's state conditioned on observations through a collection of weights and particles. A known problem for…

Applications · Statistics 2025-10-29 Shay Gilpin , Michael Herty

Many systems for which compressive sensing is used today are dynamical. The common approach is to neglect the dynamics and see the problem as a sequence of independent problems. This approach has two disadvantages. Firstly, the temporal…

Systems and Control · Computer Science 2013-09-30 Henrik Ohlsson , Michel Verhaegen , S. Shankar Sastry

This manuscript derives locally weighted ensemble Kalman methods from the point of view of ensemble-based function approximation. This is done by using pointwise evaluations to build up a local linear or quadratic approximation of a…

Numerical Analysis · Mathematics 2025-05-07 Philipp Wacker

The problem of incorporating information from observations received serially in time is widespread in the field of uncertainty quantification. Within a probabilistic framework, such problems can be addressed using standard filtering…

Methodology · Statistics 2024-12-02 Chatchuea Kimchaiwong , Jeremie Houssineau , Adam M. Johansen

Three-dimensional tracking of multiple objects from multiple views has a wide range of applications, especially in the study of bio-cluster behavior which requires precise trajectories of research objects. However, there are significant…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Nianhao Xie

We study the problem of distributed Kalman filtering for sensor networks in the presence of model uncertainty. More precisely, we assume that the actual state-space model belongs to a ball, in the Kullback-Leibler topology, about the…

Optimization and Control · Mathematics 2020-04-20 Mattia Zorzi

Most of the correlation filter based tracking algorithms can achieve good performance and maintain fast computational speed. However, in some complicated tracking scenes, there is a fatal defect that causes the object to be located…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Di Yuan , Xiaohuan Lu , Donghao Li , Yingyi Liang , Xinming Zhang

Given a linear dynamical system, we consider the problem of selecting (at design-time) an optimal set of sensors (subject to certain budget constraints) to minimize the trace of the steady state error covariance matrix of the Kalman filter.…

Optimization and Control · Mathematics 2018-03-29 Lintao Ye , Sandip Roy , Shreyas Sundaram

We study the filtering problem over a Lie group that plays an important role in robotics and aerospace applications. We present a new particle filtering algorithm based on stochastic control. In particular, our algorithm is based on a…

Optimization and Control · Mathematics 2022-12-06 Bo Yuan , Qinsheng Zhang , Yongxin Chen

Simultaneous state and parameter estimation arises from various applicational areas but presents a major computational challenge. Most available Markov chain or sequential Monte Carlo techniques are applicable to relatively low dimensional…

Numerical Analysis · Mathematics 2017-09-28 Angwenyi David , Jana de Wiljes , Sebastian Reich

We consider the problem of localizing a manned, semi-autonomous, or autonomous vehicle in the environment using information coming from the vehicle's sensors, a problem known as navigation or simultaneous localization and mapping (SLAM)…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Paul Chauchat , Axel Barrau , Silvère Bonnabel

We study a linear filtering problem where the signal and observation processes are described as solutions of linear stochastic differential equations driven by time-space Brownian sheets. We derive a stochastic integral equation for the…

Probability · Mathematics 2024-07-10 Nacira Agram , Bernt Øksendal , Frank Proske , Olena Tymoshenko

We discuss two separate techniques for Kalman Filtering in the presence of state space equality constraints. We then prove that despite the lack of similarity in their formulations, under certain conditions, the two methods result in…

Atmospheric and Oceanic Physics · Physics 2007-06-01 Nachi Gupta

Tracking people in a video sequence is one of the fields of interest in computer vision. It has broad applications in motion capture and surveillance. However, due to the complexity of human dynamic structure, detecting and tracking are not…

Image and Video Processing · Electrical Eng. & Systems 2018-06-19 Hiliwi Leake Kidane

We consider a general form of the sensor scheduling problem for state estimation of linear dynamical systems, which involves selecting sensors that minimize the trace of the Kalman filter error covariance (weighted by a positive…

Optimization and Control · Mathematics 2023-12-13 Shamak Dutta , Nils Wilde , Stephen L. Smith
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