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This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

系统与控制 · 电气工程与系统科学 2024-03-21 J. Matoušek , J. Duník , M. Brandner

Multitarget Tracking (MTT) is the problem of tracking the states of an unknown number of objects using noisy measurements, with important applications to autonomous driving, surveillance, robotics, and others. In the model-based Bayesian…

机器学习 · 计算机科学 2021-06-07 Juliano Pinto , Georg Hess , William Ljungbergh , Yuxuan Xia , Lennart Svensson , Henk Wymeersch

We introduce a new sequential methodology to calibrate the fixed parameters and track the stochastic dynamical variables of a state-space system. The proposed method is based on the nested hybrid filtering (NHF) framework of [1], that…

统计计算 · 统计学 2021-03-24 Sara Pérez-Vieites , Joaquín Míguez

The purpose of this note is to show how the method of maximum entropy in the mean (MEM) may be used to improve parametric estimation when the measurements are corrupted by large level of noise. The method is developed in the context on a…

机器学习 · 计算机科学 2021-08-23 Henryk Gzyl , Enrique ter Horst

Simulation-based Dynamic Traffic Assignment models have important applications in real-time traffic management and control. The efficacy of these systems rests on the ability to generate accurate estimates and predictions of traffic states,…

系统与控制 · 电气工程与系统科学 2021-06-01 Haizheng Zhang , Ravi Seshadri , A. Arun Prakash , Constantinos Antoniou , Francisco C. Pereira , Moshe Ben-Akiva

We propose a generalised framework for the updating of a prior ensemble to a posterior ensemble, an essential yet challenging part in ensemble-based filtering methods. The proposed framework is based on a generalised and fully Bayesian view…

统计方法学 · 统计学 2021-03-29 Margrethe Kvale Loe , Håkon Tjelmeland

The Random Hypersurface Model (RHM) is introduced that allows for estimating a shape approximation of an extended object in addition to its kinematic state. An RHM represents the spatial extent by means of randomly scaled versions of the…

系统与控制 · 计算机科学 2013-04-19 Marcus Baum , Uwe D. Hanebeck

In this work, with combined belief propagation (BP), mean field (MF) and expectation propagation (EP), an iterative receiver is designed for joint phase noise (PN) estimation, equalization and decoding in a coded communication system. The…

信息论 · 计算机科学 2016-09-07 Wei Wang , Zhongyong Wang , Chuanzong Zhang , Qinghua Guo , Peng Sun , Xingye Wang

We present a plug-in replacement for batch normalization (BN) called exponential moving average normalization (EMAN), which improves the performance of existing student-teacher based self- and semi-supervised learning techniques. Unlike the…

机器学习 · 计算机科学 2021-06-21 Zhaowei Cai , Avinash Ravichandran , Subhransu Maji , Charless Fowlkes , Zhuowen Tu , Stefano Soatto

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

应用统计 · 统计学 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

机器学习 · 计算机科学 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

This paper considers an approximate dynamic matrix factor model that accounts for the time series nature of the data by explicitly modelling the time evolution of the factors. We study estimation of the model parameters based on the…

统计方法学 · 统计学 2026-01-08 Matteo Barigozzi , Luca Trapin

Mobile target tracking is crucial in various applications such as surveillance and autonomous navigation. This study presents a decentralized tracking framework utilizing a Consensus-Based Estimation Filter (CBEF) integrated with the…

多智能体系统 · 计算机科学 2025-07-02 Amir Ahmad Ghods , Mohammadreza Doostmohammadian

In this paper, we present a UKF-PF based hybrid nonlinear filter for space object tracking. Estimating the state and its associated uncertainty, also known as filtering is paramount to the tracking process. The periodicity of the Keplerian…

动力系统 · 数学 2014-09-30 Dilshad Raihan A. V. , Suman Chakravorty

Characterising the noise of an airborne electromagnetic (AEM) system is critical in correctly imaging the earth's subsurface conductivity. Deterministic and probabilistic geophysical inversion algorithms require foreknowledge of the system…

地球物理 · 物理学 2026-05-06 Tim Scarr , Anandaroop Ray , Ross C. Brodie

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…

计算机视觉与模式识别 · 计算机科学 2023-09-27 Nianhao Xie

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

统计方法学 · 统计学 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

In this work, we explore the recent advances in equivariant filtering for inertial navigation systems to improve state estimation for uncrewed aerial vehicles (UAVs). Traditional state-of-the-art estimation methods, e.g., the multiplicative…

机器人学 · 计算机科学 2023-10-17 Martin Scheiber , Alessandro Fornasier , Christian Brommer , Stephan Weiss

The EM algorithm is one of the most popular algorithm for inference in latent data models. The original formulation of the EM algorithm does not scale to large data set, because the whole data set is required at each iteration of the…

机器学习 · 统计学 2019-10-29 Belhal Karimi , Hoi-To Wai , Eric Moulines , Marc Lavielle

This paper derives the extended Kalman filter (EKF) for continuous-time systems on matrix Lie groups observed through discrete-time measurements. By modeling the system noise on the Lie algebra and adopting a Stratonovich interpretation for…

系统与控制 · 电气工程与系统科学 2025-06-03 Finn G. Maurer , Erlend A. Basso , Henrik M. Schmidt-Didlaukies , Torleiv H. Bryne