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Related papers: Poisson Multi-Bernoulli Approximations for Multipl…

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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

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

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

This paper introduces a Poisson multi-Bernoulli mixture (PMBM) filter in which the intensities of target birth and undetected targets are grid-based. A simplified version of the Rao-Blackwellized point mass filter is used to predict the…

Signal Processing · Electrical Eng. & Systems 2021-03-22 Per Boström-Rost , Daniel Axehill , Gustaf Hendeby

As a fundamental piece of multi-object Bayesian inference, multi-object density has the ability to describe the uncertainty of the number and values of objects, as well as the statistical correlation between objects, thus perfectly matches…

Systems and Control · Computer Science 2016-03-29 Suqi Li , Wei Yi , Bailu Wang , Lingjiang Kong

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 paper is a sequel of the 2019 paper [5]. It demonstrates the following: a) the Poisson multi-Bernoulli mixture (PMBM) approach to detected vs. undetected (U/D) targets cannot be rigorously formulated using either the two-step or…

Methodology · Statistics 2025-01-22 Ronald Mahler

Millimeter wave (mmWave) signals are useful for simultaneous localization and mapping (SLAM), due to their inherent geometric connection to the propagation environment and the propagation channel. To solve the SLAM problem, existing…

Signal Processing · Electrical Eng. & Systems 2021-09-09 Yu Ge , Ossi Kaltiokallio , Hyowon Kim , Fan Jiang , Jukka Talvitie , Mikko Valkama , Lennart Svensson , Sunwoo Kim , Henk Wymeersch

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

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

This paper proposes an efficient implementation of the multi-sensor generalized labeled multi-Bernoulli (GLMB) filter. The solution exploits the GLMB joint prediction and update together with a new technique for truncating the GLMB…

Computation · Statistics 2017-03-01 Ba Ngu Vo , Ba Tuong Vo

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

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

In this paper we derive a multi-sensor multi-Bernoulli (MS-MeMBer) filter for multi-target tracking. Measurements from multiple sensors are employed by the proposed filter to update a set of tracks modeled as a multi-Bernoulli random finite…

Methodology · Statistics 2017-10-11 Augustin-Alexandru Saucan , Mark Coates , Michael Rabbat

This paper proposes a new multi-Bernoulli filter called the Adaptive Labeled Multi-Bernoulli filter. It combines the relative strengths of the known Delta-Generalized Labeled Multi-Bernoulli and the Labeled Multi-Bernoulli filter. The…

Systems and Control · Computer Science 2018-12-24 Andreas Danzer , Stephan Reuter , Klaus Dietmayer

The probability hypothesis density (PHD) and multi-target multi-Bernoulli (MeMBer) filters are two leading algorithms that have emerged from random finite sets (RFS). In this paper we study a method which combines these two approaches. Our…

Systems and Control · Computer Science 2015-03-20 Jason L. Williams

This paper proposes an efficient implementation of the generalized labeled multi-Bernoulli (GLMB) filter by combining the prediction and update into a single step. In contrast to an earlier implementation that involves separate truncations…

Computation · Statistics 2017-03-01 Ba Ngu Vo , Ba Tuong Vo , Hung Gia Hoang

A decentralized Poisson multi-Bernoulli filter is proposed to track multiple vehicles using multiple high-resolution sensors. Independent filters estimate the vehicles' presence, state, and shape using a Gaussian process extent model; a…

Multiagent Systems · Computer Science 2024-12-20 Markus Fröhle , Karl Granström , Henk Wymeersch

In many multiobject tracking applications, including radar and sonar tracking, after prefiltering the received signal, measurement data is typically structured in cells. The cells, e.g., represent different range and bearing values.…

Signal Processing · Electrical Eng. & Systems 2024-06-04 Thomas Kropfreiter , Jason L. Williams , Florian Meyer

In multi-object inference, the multi-object probability density captures the uncertainty in the number and the states of the objects as well as the statistical dependence between the objects. Exact computation of the multi-object density is…

Other Statistics · Statistics 2015-10-28 Francesco Papi , Ba-Ngu Vo , Ba-Tuong Vo , Claudio Fantacci , Michael Beard