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Related papers: Trajectory PHD and CPHD filters

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Projection Pursuit methodology permits to solve the difficult problem of finding an estimate of a density defined on a set of very large dimension. In his seminal article, Huber (see "Projection pursuit", Annals of Statistics, 1985)…

Statistics Theory · Mathematics 2010-08-18 Jacques Touboul

The crucial step in designing a particle filter for a particular application is the choice of importance density. The optimal scheme is to use the conditional posterior density of the state, but this cannot be sampled or calculated…

Computation · Statistics 2014-08-15 Pete Bunch , Simon Godsill

Continued great efforts have been dedicated towards high-quality trajectory generation based on optimization methods, however, most of them do not suitably and effectively consider the situation with moving obstacles; and more particularly,…

Systems and Control · Electrical Eng. & Systems 2020-08-05 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Shuzhi Sam Ge , Tong Heng Lee

Lagrangian Particle Tracking (LPT) enables practitioners to study various concepts in turbulence by measuring particle positions in flows of interest. This data is subject to measurement errors, and filtering techniques are applied to…

Fluid Dynamics · Physics 2026-01-16 Griffin M. Kearney , Kasey M. Laurent , Reece V. Kearney

The Poisson multi-Bernoulli mixture (PMBM) is a multi-object conjugate prior for the closed-form Bayes random finite sets filter. The extended object PMBM filter provides a closed-form solution for multiple extended object filtering with…

Signal Processing · Electrical Eng. & Systems 2021-08-16 Yuxuan Xia , Karl Granström , Lennart Svensson , Maryam Fatemi , Ángel F. García-Fernández , Jason L. Williams

In recent work (arXiv:1006.3100v1), we have presented a novel approach for improving particle filters for multi-target tracking. The suggested approach was based on drift homotopy for stochastic differential equations. Drift homotopy was…

Numerical Analysis · Mathematics 2011-02-11 Vasileios Maroulas , Panagiotis Stinis

Urban trajectories play a crucial role in modeling urban dynamics and supporting various smart city applications. However, privacy concerns restrict access to large-scale and high-quality trajectory datasets. Trajectory generation provides…

Artificial Intelligence · Computer Science 2026-05-29 Silin Zhou , Chenhao Wang , Yuntao Wen , Shuo Shang , Lisi Chen , Panos Kalnis

Locality sensitive hashing (LSH) is a fundamental algorithmic toolkit used by data scientists for approximate nearest neighbour search problems that have been used extensively in many large scale data processing applications such as near…

Machine Learning · Statistics 2025-03-04 Bhisham Dev Verma , Rameshwar Pratap

In multi-target tracking (MTT), non-Gaussian measurement noise from sensors can diminish the performance of the Gaussian-assumed Gaussian mixture probability hypothesis density (GM-PHD) filter. In this paper, an approach that transforms the…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Jiacheng He , Shan Zhong , Bei Peng , Gang Wang , Qizhen Wang

In a global numerical weather prediction (NWP) modeling framework we study the implementation of Gaussian uncertainty of individual particles into the assimilation step of a localized adaptive particle filter (LAPF). We obtain a local…

Applications · Statistics 2022-06-16 Anne Rojahn , Nora Schenk , Peter Jan van Leeuwen , Roland Potthast

We propose Pathfinder, a variational method for approximately sampling from differentiable log densities. Starting from a random initialization, Pathfinder locates normal approximations to the target density along a quasi-Newton…

Machine Learning · Statistics 2022-05-17 Lu Zhang , Bob Carpenter , Andrew Gelman , Aki Vehtari

Indoor route graph learning is critically important for autonomous indoor navigation. A key problem for crowd-sourcing indoor route graph learning is featured trajectory generation. In this paper, a system is provided to generate featured…

Human-Computer Interaction · Computer Science 2022-03-09 Wanting Li , Yongcai Wang , Deying Li

Trajectory similarity retrieval is an important part of spatiotemporal data mining, however, existing methods have the following limitations: traditional metrics are computationally expensive, while learning-based methods suffer from…

Machine Learning · Computer Science 2025-11-24 Yang Xu , Zuliang Yang , Kai Ming Ting

The amount of data coming from different sources such as IoT-sensors, social networks, cellular networks, has increased exponentially during the last few years. Probabilistic Data Structures (PDS) are efficient alternatives to deterministic…

Data Structures and Algorithms · Computer Science 2022-11-02 Remy Scholler , Jean-Francois Couchot , Oumaima Alaoui-Ismaili , Denis Renaud , Eric Ballot

In this paper we introduce the intuitive notion of trivergence of probability distributions (TPD). This notion allow us to calculate the similarity among triplets of objects. For this computation, we can use the well known measures of…

Information Theory · Computer Science 2015-06-23 Juan-Manuel Torres-Moreno

We propose a novel consensus notion, called "partial consensus", for distributed GM-PHD (Gaussian mixture probability hypothesis density) fusion based on a peer-to-peer (P2P) sensor network, in which only highly-weighted posterior Gaussian…

Systems and Control · Computer Science 2021-04-21 Tiancheng Li , Juan M Corchado , Shudong Sun

Advancements in Intelligent Traffic Systems (ITS) have made huge amounts of traffic data available through automatic data collection. A big part of this data is stored as trajectories of moving vehicles and road users. Automatic analysis of…

Machine Learning · Computer Science 2021-12-06 Mohsen Rezaie , Nicolas Saunier

This contribution addresses vessel trajectory prediction (VTP), focusing on the evaluation of different deep learning-based approaches. The objective is to assess model performance in diverse traffic complexities and compare the reliability…

Machine Learning · Computer Science 2025-08-21 Zahra Rastin , Kathrin Donandt , Dirk Söffker

Despite achieving state-of-the-art generation quality, diffusion models are hindered by the substantial computational burden of their iterative sampling process. While feature caching techniques achieve effective acceleration at higher step…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Benlei Cui , Shaoxuan He , Bukun Huang , Zhizeng Ye , Yunyun Sun , Longtao Huang , Hui Xue , Yang Yang , Jingqun Tang , Zhou Zhao , Haiwen Hong

This paper develops an accurate, efficient filter (called the `TT filter') for tracking multiple targets using a spatially-distributed network of amplitude sensors that estimate distance but not direction. Several innovations are included…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Christopher Thron , Khoi Tran , Joseph Raquepas
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