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A mixture of joint generalized hyperbolic distributions (MJGHD) is introduced for asymmetric clustering for high-dimensional data. The MJGHD approach takes into account the cluster-specific subspace, thereby limiting the number of…

Methodology · Statistics 2018-11-02 Yang Tang , Ryan P. Browne , Paul D. McNicholas

PHD filtering is a common and effective multiple object tracking (MOT) algorithm used in scenarios where the number of objects and their states are unknown. In scenarios where each object can generate multiple measurements per scan, some…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Jakob Sjudin , Martin Marcusson , Lennart Svensson , Lars Hammarstrand

This paper shows that the Poisson multi-Bernoulli mixture (PMBM) density is a multi-target conjugate prior for general target-generated measurement distributions and arbitrary clutter distributions. That is, for this multi-target…

Applications · Statistics 2023-05-25 Ángel F. García-Fernández , Yuxuan Xia , Lennart Svensson

The likelihood filter for cluster detection introduced by Postman et al. is generalized by using standard procedures and models originally developed in the theory of point processes. The generalized method has the advantage of being less…

Astrophysics · Physics 2007-05-23 Peter Schuecker , Hans Böhringer

In this paper, we develop a method for estimating and clustering two-dimensional spectral density functions (2D-SDFs) for spatial data from multiple subregions. We use a common set of adaptive basis functions to explain the similarities…

Methodology · Statistics 2020-07-29 Tianbo Chen , Ying Sun , Mehdi Maadooliat

This paper introduces the notion of co-modularity, to co-cluster observations of bipartite networks into co-communities. The task of co-clustering is to group together nodes of one type with nodes of another type, according to the…

Methodology · Statistics 2021-11-09 Thomas E. Bartlett

This paper addresses distributed registration of a sensor network for multitarget tracking. Each sensor gets measurements of the target position in a local coordinate frame, having no knowledge about the relative positions (referred to as…

Systems and Control · Computer Science 2019-02-08 Lin Gao , Giorgio Battistelli , Luigi Chisci , Ping Wei

In recent years, wide-area visual surveillance systems have been widely applied in various industrial and transportation scenarios. These systems, however, face significant challenges when implementing multi-object detection due to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Xianlei Long , Hui Zhao , Chao Chen , Fuqiang Gu , Qingyi Gu

In this paper we present a general solution for multi-target tracking with superpositional measurements. Measurements that are functions of the sum of the contributions of the targets present in the surveillance area are called…

Methodology · Statistics 2023-07-19 Francesco Papi , Du Yong Kim

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

Statistics Theory · Mathematics 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

Clustering consists of partitioning data objects into subsets called clusters according to some similarity criteria. This paper addresses a generalization called quasi-clustering that allows overlapping of clusters, and which we link to…

Artificial Intelligence · Computer Science 2020-02-13 Fred Glover , Said Hanafi , Gintaras Palubeckis

This paper introduces a novel feedback-control based particle filter for the solution of the filtering problem with data association uncertainty. The particle filter is referred to as the joint probabilistic data association-feedback…

Numerical Analysis · Mathematics 2013-03-07 Tao Yang , Geng Huang , Prashant G. Mehta

As single-cell gene expression data analysis continues to grow, the need for reliable clustering methods has become increasingly important. The prevalence of heuristic means for method choice could lead to inaccurate reports if…

Quantitative Methods · Quantitative Biology 2026-05-19 Owen Visser , Somnath Datta

In multi-target tracking, a data association hypothesis assigns measurements to tracks, and the hypothesis likelihood (of the joint target-measurement associations) is used to compare among all hypotheses for truncation under a finite…

Methodology · Statistics 2021-08-10 Lingji Chen

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

Machine Learning · Computer Science 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

The present work proposes the concept of induced percolation over multiple-object systems, so that features such as the number of merged clusters can be used as a relevant measurement. The suggested approach involves the expansion of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa

A variety of filters with track-before-detect (TBD) strategies have been developed and applied to low signal-to-noise ratio (SNR) scenarios, including the probability hypothesis density (PHD) filter. Assumptions of the standard point…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Haiyi Mao , Cong Peng , Yue Liu , Jinping Tang , Hua Peng , Wei Yi

In this survey we present a complete landscape of joint object detection and pose estimation methods that use monocular vision. Descriptions of traditional approaches that involve descriptors or models and various estimation methods have…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Aniruddha V Patil , Pankaj Rabha

Filtering and parameter estimation under partial information for multiscale problems is studied in this paper. After proving mean square convergence of the nonlinear filter to a filter of reduced dimension, we establish that the conditional…

Probability · Mathematics 2014-09-09 Andrew Papanicolaou , Konstantinos Spiliopoulos

Autonomous vehicles need precise knowledge on dynamic objects in their surroundings. Especially in urban areas with many objects and possible occlusions, an infrastructure system based on a multi-sensor setup can provide the required…

Robotics · Computer Science 2020-11-12 Martin Herrmann , Aldi Piroli , Jan Strohbeck , Johannes Müller , Michael Buchholz