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This paper presents the probability hypothesis density (PHD) filter for sets of trajectories: the trajectory probability density (TPHD) filter. The TPHD filter is capable of estimating trajectories in a principled way without requiring to…

Applications · Statistics 2018-09-14 Ángel F. García-Fernández , Lennart Svensson

Streaming clustering is a domain that has become extremely relevant in the age of big data, such as in network traffic analysis or in processing continuously-running sensor data. Furthermore, possibilistic models offer unique benefits over…

Machine Learning · Computer Science 2026-03-10 Jeffrey Dale , James Keller , Aquila Galusha

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

Radar sensors provide a unique method for executing environmental perception tasks towards autonomous driving. Especially their capability to perform well in adverse weather conditions often makes them superior to other sensors such as…

Machine Learning · Computer Science 2020-01-20 Nicolas Scheiner , Nils Appenrodt , Jürgen Dickmann , Bernhard Sick

Probabilistic mixture models have been widely used for different machine learning and pattern recognition tasks such as clustering, dimensionality reduction, and classification. In this paper, we focus on trying to solve the most common…

Machine Learning · Computer Science 2020-04-08 Gustavo A Valencia-Zapata , Daniel Mejia , Gerhard Klimeck , Michael Zentner , Okan Ersoy

The probability hypothesis density (PHD) and Poisson multi-Bernoulli (PMB) filters are two popular set-type multi-object filters. Motivated by the fact that the multi-object filtering density after each update step in the PHD filter is a…

Signal Processing · Electrical Eng. & Systems 2024-07-23 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

Particle filters provide Monte Carlo approximations of intractable quantities such as point-wise evaluations of the likelihood in state space models. In many scenarios, the interest lies in the comparison of these quantities as some…

Methodology · Statistics 2016-07-19 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön

This paper proposes a clustering and merging approach for the Poisson multi-Bernoulli mixture (PMBM) filter to lower its computational complexity and make it suitable for multiple target tracking with a high number of targets. We define a…

Signal Processing · Electrical Eng. & Systems 2024-09-16 Marco Fontana , Ángel F. García-Fernández , Simon Maskell

This paper focuses on the joint multi-object tracking (MOT) and the estimate of detection probability with the \emph{Poisson multi-Bernoulli mixture} (PMBM) filter. In a majority of multi-object scenarios, the knowledge of detection…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Guchong Li

This paper addresses the issue of detecting point objects in a clutter background and estimating their position by image processing. We are interested in the specific context where the object signature significantly varies with its random…

Applications · Statistics 2009-11-09 Vincent Samson , Frédéric Champagnat , Jean-François Giovannelli

This paper uses multi-object tracking methods known from the radar tracking community to address the problem of pedestrian tracking using 2D bounding box detections. The standard point-object (SPO) model is adopted, and the posterior…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

If computational tractability were not an issue, multi-object estimation should integrate all measurements from multiple sensors across multiple scans. In this article, we propose an efficient numerical solution to the multi-scan…

Computational Engineering, Finance, and Science · Computer Science 2022-12-05 D. Moratuwage , B. -N. Vo , B. -T. Vo , C. Shim

In recent years, with the development of microarray technique, discovery of useful knowledge from microarray data has become very important. Biclustering is a very useful data mining technique for discovering genes which have similar…

Computational Engineering, Finance, and Science · Computer Science 2009-09-09 Mohsen lashkargir , S. Amirhassan Monadjemi , Ahmad Baraani Dastjerdi

Robust tracking of a target in a clutter environment is an important and challenging task. In recent years, the nearest neighbor methods and probabilistic data association filters were proposed. However, the performance of these methods…

Machine Learning · Computer Science 2020-12-18 Bahman Moraffah , Christ Richmond , Raha Moraffah , Antonia Papandreou-Suppappola

A Multiple Target, Multiple Type Filtering (MTMTF) algorithm is developed using Random Finite Set (RFS) theory. First, we extend the standard Probability Hypothesis Density (PHD) filter for multiple types of targets, each with distinct…

Applications · Statistics 2019-02-06 Nathanael L. Baisa , Andrew Wallace

Model-based clustering is widely used for identifying and distinguishing types of diseases. However, modern biomedical data coming with high dimensions make it challenging to perform the model estimation in traditional cluster analysis. The…

Methodology · Statistics 2025-07-22 Kazeem Kareem , Fan Dai

In this paper, two novel algorithms for features selection are proposed. The first one is a filter method while the second is wrapper method. Both the proposed algorithms use the crowding distance used in the multiobjective optimization as…

Machine Learning · Computer Science 2021-05-17 Abdesslem Layeb

The family of pointillist multitarget tracking filters is defined to be the class of filters that is characterized by a joint target-measurement finite point process. The probability generating functional (PGFL) of the joint process is…

Applications · Statistics 2015-06-22 Roy Streit , Christoph Degen , Wolfgang Koch

Point cloud filtering and normal estimation are two fundamental research problems in the 3D field. Existing methods usually perform normal estimation and filtering separately and often show sensitivity to noise and/or inability to preserve…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Dasith de Silva Edirimuni , Xuequan Lu , Gang Li , Antonio Robles-Kelly

We consider distributed state estimation in a wireless sensor network without a fusion center. Each sensor performs a global estimation task---based on the past and current measurements of all sensors---using only local processing and local…

Applications · Statistics 2015-05-30 Ondrej Hlinka , Ondrej Sluciak , Franz Hlawatsch , Petar M. Djuric , Markus Rupp