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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

This paper addresses the mapping problem. Using a conjugate prior form, we derive the exact theoretical batch multi-object posterior density of the map given a set of measurements. The landmarks in the map are modeled as extended objects,…

Machine Learning · Statistics 2018-11-09 Maryam Fatemi , Karl Granström , Lennart Svensson , Francisco J. R. Ruiz , Lars Hammarstrand

This article presents the Labeled Random Finite Set (LRFS) framework for multi-object systems-systems in which the number of objects and their states are unknown and vary randomly with time. In particular, we focus on state and trajectory…

Signal Processing · Electrical Eng. & Systems 2024-11-11 Ba-Ngu Vo , Ba-Tuong Vo , Tran Thien Dat Nguyen , Changbeom Shim

State space models in which the system state is a finite set--called the multi-object state--have generated considerable interest in recent years. Smoothing for state space models provides better estimation performance than filtering by…

Computation · Statistics 2018-05-28 Ba Tuong Vo , Ba Ngu Vo

In this paper, we propose two efficient, approximate formulations of the multi-sensor labelled multi-Bernoulli (LMB) filter, which both allow the sensors' measurement updates to be computed in parallel. Our first filter is based on the…

Signal Processing · Electrical Eng. & Systems 2022-07-12 S. C. J. Robertson , C. E. van Daalen , J. A. du Preez

Partial Multi-label Learning (PML) is a type of weakly supervised learning where each training instance corresponds to a set of candidate labels, among which only some are true. In this paper, we introduce \our{}, a novel probabilistic…

Machine Learning · Computer Science 2024-03-13 Łukasz Struski , Adam Pardyl , Jacek Tabor , Bartosz Zieliński

The sensor whose output is a function of the sum of contributions from targets present in the surveillance area is called superpositional sensor. In this letter, target clustering based multi-Bernoulli filter for superpositional sensors is…

Signal Processing · Electrical Eng. & Systems 2023-08-21 Wang Sen

This paper presents a general solution for computing the multi-object posterior for sets of trajectories from a sequence of multi-object (unlabelled) filtering densities and a multi-object dynamic model. Importantly, the proposed solution…

Signal Processing · Electrical Eng. & Systems 2022-07-20 Yuxuan Xia , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams , Daniel Svensson , Karl Granström

We provide a derivation of the Poisson multi-Bernoulli mixture (PMBM) filter for multi-target tracking with the standard point target measurements without using probability generating functionals or functional derivatives. We also establish…

Computer Vision and Pattern Recognition · Computer Science 2018-09-14 Ángel F. García-Fernández , Jason L. Williams , Karl Granström , Lennart Svensson

Generalized Labeled Multi-Bernoulli (GLMB) densities arise in a host of multi-object system applications analogous to Gaussians in single-object filtering. However, computing the GLMB filtering density requires solving NP-hard problems. To…

Machine Learning · Statistics 2023-12-29 Changbeom Shim , Ba-Tuong Vo , Ba-Ngu Vo , Jonah Ong , Diluka Moratuwage

A large-scale multi-object tracker based on the generalised labeled multi-Bernoulli (GLMB) filter is proposed. The algorithm is capable of tracking a very large, unknown and time-varying number of objects simultaneously, in the presence of…

Computation · Statistics 2018-04-19 Michael Beard , Ba Tuong Vo , Ba-Ngu Vo

The generalized labeled multi-Bernoulli (GLMB) filter is a theoretically rigorous Bayes-optimal multitarget tracking algorithm with computationally tractable implementations, based on labeled random finite set (LRFS) theory. It presumes…

Methodology · Statistics 2025-06-04 Ronald Mahler

We first exhibit a multimodal image registration task, for which a neural network trained on a dataset with noisy labels reaches almost perfect accuracy, far beyond noise variance. This surprising auto-denoising phenomenon can be explained…

Machine Learning · Computer Science 2021-02-11 Guillaume Charpiat , Nicolas Girard , Loris Felardos , Yuliya Tarabalka

This paper presents a probabilistic generalization of the Generalized Optimal Sub-Pattern Assignment (GOSPA) metric, termed P-GOSPA. The GOSPA metric has been widely used to evaluate the distance between finite sets, particularly in…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Yuxuan Xia , Ángel F. García-Fernández , Johan Karlsson , Kuo-Chu Chang , Ting Yuan , Lennart Svensson

The class of Labeled Random Finite Set filters known as the delta-Generalized Labeled Multi-Bernoulli (dGLMB) filter represents the filtering density as a set of weighted hypotheses, with each hypothesis consisting of a set of labeled…

Signal Processing · Electrical Eng. & Systems 2021-08-10 Lingji Chen

This paper proposes a heterogenous density fusion approach to scalable multisensor multitarget tracking where the inter-connected sensors run different types of random finite set (RFS) filters according to their respective capacity and…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Tiancheng Li , Ruibo Yan , Kai Da , Hongqi Fan

Analysis and processing of data is a vital part of our modern society and requires vast amounts of computational resources. To reduce the computational burden, compressing and approximating data has become a central topic. We consider the…

Numerical Analysis · Mathematics 2026-03-17 Jürgen Dölz , Michael Multerer

Given multiple datasets with different label spaces, the goal of this work is to train a single object detector predicting over the union of all the label spaces. The practical benefits of such an object detector are obvious and significant…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Xiangyun Zhao , Samuel Schulter , Gaurav Sharma , Yi-Hsuan Tsai , Manmohan Chandraker , Ying Wu

Mean density of lower dimensional random closed sets, as well as the mean boundary density of full dimensional random sets, and their estimation are of great interest in many real applications. Only partial results are available so far in…

Statistics Theory · Mathematics 2014-02-05 Elena Villa

This paper proposes an on-line multiple object tracking algorithm that can operate in unknown background. In a majority of multiple object tracking applications, model parameters for background processes such as clutter and detection are…

Other Statistics · Statistics 2018-05-23 Yuthika Punchihewa , Ba-Tuong Vo , Ba-Ngu Vo , Du Yong Kim