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The Poisson multi-Bernoulli mixture (PMBM) and the multi-Bernoulli mixture (MBM) are two multi-target distributions for which closed-form filtering recursions exist. The PMBM has a Poisson birth process, whereas the MBM has a…

Signal Processing · Electrical Eng. & Systems 2020-03-02 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams

Nearly all existing counting methods are designed for a specific object class. Our work, however, aims to create a counting model able to count any class of object. To achieve this goal, we formulate counting as a matching problem, enabling…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Erika Lu , Weidi Xie , Andrew Zisserman

Unsupervised object discovery aims to localize objects in images, while removing the dependence on annotations required by most deep learning-based methods. To address this problem, we propose a fully unsupervised, bottom-up approach, for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Sandra Kara , Hejer Ammar , Florian Chabot , Quoc-Cuong Pham

This paper presents the Gaussian implementation of the multi-Bernoulli mixture (MBM) filter. The MBM filter provides the filtering (multi-target) density for the standard dynamic and radar measurement models when the birth model is…

Signal Processing · Electrical Eng. & Systems 2019-08-26 Ángel F. García-Fernández , Yuxuan Xia , Karl Granström , Lennart Svensson , Jason L. Williams

The problem of multi-object tracking is a fundamental computer vision research focus, widely used in public safety, transport, autonomous vehicles, robotics, and other regions involving artificial intelligence. Because of the complexity of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Kai Ren , Chuanping Hu

Grouped data are commonly encountered in applications. The Bernstein polynomial model is proposed as an approximate model in this paper for estimating a univariate density function based on grouped data. The coefficients of the Bernstein…

Methodology · Statistics 2015-07-21 Zhong Guan

Random finite sets (RFSs) has been a fruitful area of research in recent years, yielding new approximate filters such as the probability hypothesis density (PHD), cardinalised PHD (CPHD), and multiple target multi-Bernoulli (MeMBer). These…

Systems and Control · Computer Science 2015-03-19 Jason L. Williams

This paper presents the distributed Poisson multi-Bernoulli (PMB) filter based on the generalised covariance intersection (GCI) fusion rule for distributed multi-object filtering. Since the exact GCI fusion of two PMB densities is…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Ángel F. García-Fernández , Giorgio Battistelli

This paper presents an efficient implementation of the extended object Poisson multi-Bernoulli (PMB) filter under the zero-inflated Poisson (ZIP) object measurement model using particle belief propagation (BP). The ZIP measurement model…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Yuxuan Xia , Xueqi Qiu , Hyowon Kim , Chaoqun Yang

Inference is typically intractable in high-treewidth undirected graphical models, making maximum likelihood learning a challenge. One way to overcome this is to restrict parameters to a tractable set, most typically the set of…

Machine Learning · Computer Science 2015-11-02 Justin Domke

Inferring and comparing complex, multivariable probability density functions is fundamental to problems in several fields, including probabilistic learning, network theory, and data analysis. Classification and prediction are the two faces…

Information Theory · Computer Science 2017-03-30 David J. Galas , T. Gregory Dewey , James Kunert-Graf , Nikita A. Sakhanenko

The paper considers a new quantitative-qualitative proximity measure for the features of information objects, where data enters a common information resource from several sources independently. The goal is to determine the possibility of…

Artificial Intelligence · Computer Science 2026-04-08 Volodymyr Yuzefovych

Object detection and data association are critical components in multi-object tracking (MOT) systems. Despite the fact that the two components are dependent on each other, prior works often design detection and data association modules…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Yongxin Wang , Kris Kitani , Xinshuo Weng

Recent work has demonstrated that graph neural networks (GNNs) can match the performance of traditional algorithms for charged particle tracking while improving scalability to meet the computing challenges posed by the HL-LHC. Most GNN…

Data Analysis, Statistics and Probability · Physics 2023-12-08 Kilian Lieret , Gage DeZoort , Devdoot Chatterjee , Jian Park , Siqi Miao , Pan Li

We study the statistical distribution of the closest encounter between generic smooth observations computed along different trajectories of a rapidly mixing dynamical system. At the limit of large trajectories, we obtain a distribution of…

Chaotic Dynamics · Physics 2022-08-31 Theophile Caby

Multi-label classification aims to classify instances with discrete non-exclusive labels. Most approaches on multi-label classification focus on effective adaptation or transformation of existing binary and multi-class learning approaches…

Machine Learning · Computer Science 2019-01-03 Piotr Szymański , Tomasz Kajdanowicz , Nitesh Chawla

The problem of searching for a model-based scene interpretation is analyzed within a probabilistic framework. Object models are formulated as generative models for range data of the scene. A new statistical criterion, the truncated object…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Ulrich Hillenbrand , Gerd Hirzinger

To increase the trustworthiness of deep neural networks, it is critical to improve the understanding of how they make decisions. This paper introduces a novel unsupervised concept-based model for image classification, named Learnable…

Machine Learning · Computer Science 2025-06-04 Francesco De Santis , Philippe Bich , Gabriele Ciravegna , Pietro Barbiero , Danilo Giordano , Tania Cerquitelli

In this paper, we aim to provide a statistical theory for object matching based on the Gromov-Wasserstein distance. To this end, we model general objects as metric measure spaces. Based on this, we propose a simple and efficiently…

Statistics Theory · Mathematics 2020-06-25 Christoph Alexander Weitkamp , Katharina Proksch , Carla Tameling , Axel Munk

Unsupervised learning is a challenging task due to the lack of labels. Multiple Object Tracking (MOT), which inevitably suffers from mutual object interference, occlusion, etc., is even more difficult without label supervision. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Sha Meng , Dian Shao , Jiacheng Guo , Shan Gao