no code implementations • 6 Dec 2023 • Yuxuan Xia, Ángel F. García-Fernández, Lennart Svensson
This paper considers a batch solution to the multi-object tracking problem based on sets of trajectories.
no code implementations • 10 Nov 2023 • Jinhao Gu, Ángel F. García-Fernández, Robert E. Firth, Lennart Svensson
This paper proposes a metric to measure the dissimilarity between graphs that may have a different number of nodes.
no code implementations • 29 Jun 2023 • Ángel F. García-Fernández, Jimin Xiao
This paper proposes a multi-object tracking (MOT) algorithm for traffic monitoring using a drone equipped with optical and thermal cameras.
no code implementations • 7 Oct 2022 • Shaoxiu Wei, Ángel F. García-Fernández, Wei Yi
This paper develops a general trajectory probability hypothesis density (TPHD) filter, which uses a general density for target-generated measurements and is able to estimate trajectories of coexisting point and extended targets.
1 code implementation • 20 Jul 2022 • Yuxuan Xia, Ángel F. García-Fernández, Florian Meyer, Jason L. Williams, Karl Granström, Lennart Svensson
First, we present a PMBM conjugate prior on the posterior of sets of trajectories for a generalized measurement model, in which each object generates an independent set of measurements.
1 code implementation • 13 Jul 2022 • Ángel F. García-Fernández, Yuxuan Xia, Lennart Svensson
This paper provides a comparative analysis between the adaptive birth model used in the labelled random finite set literature and the track initiation in the Poisson multi-Bernoulli mixture (PMBM) filter, with point-target models.
no code implementations • 16 Jun 2022 • Yuxuan Xia, Lennart Svensson, Ángel F. García-Fernández, Jason L. Williams, Daniel Svensson, Karl Granström
In this paper, we first derive a general multi-trajectory backward smoothing equation based on random finite sets of trajectories.
no code implementations • 27 May 2022 • Marco Fontana, Ángel F. García-Fernández, Simon Maskell
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.
1 code implementation • 26 Oct 2021 • Ángel F. García-Fernández, Abu Sajana Rahmathullah, Lennart Svensson
This paper proposes a metric for sets of trajectories to evaluate multi-object tracking algorithms that includes time-weighted costs for localisation errors of properly detected targets, for false targets, missed targets and track switches.
no code implementations • 22 Oct 2021 • Ángel F. García-Fernández, Marcel Hernandez, Simon Maskell
On the contrary, as a consequence of the spooky effect at a distance in optimal OSPA/UOSPA estimation, the optimal actions for different sensors using OSPA and UOSPA are entangled.
1 code implementation • 9 Jun 2021 • Ángel F. García-Fernández, Wei Yi
When we receive an OOS measurement, the optimal Bayesian processing performs a retrodiction step that adds trajectory information at the OOS measurement time stamp followed by an update step.
1 code implementation • 10 Feb 2021 • Sakira Hassan, Simo Särkkä, Ángel F. García-Fernández
This paper presents algorithms for parallelization of inference in hidden Markov models (HMMs).
1 code implementation • 9 Nov 2020 • Ángel F. García-Fernández, Jason L. Williams, Lennart Svensson, Yuxuan Xia
This paper proposes a Poisson multi-Bernoulli mixture (PMBM) filter for coexisting point and extended targets, i. e., for scenarios where there may be simultaneous point and extended targets.
no code implementations • 5 Aug 2020 • Yuxuan Xia, Lennart Svensson, Ángel F. García-Fernández, Karl Granström, Jason L. Williams
This paper presents a solution for recovering full trajectory information, via the calculation of the posterior of the set of trajectories, from a sequence of multitarget (unlabelled) filtering densities and the multitarget dynamic model.
no code implementations • 28 Mar 2020 • Ángel F. García-Fernández, Lennart Svensson, Jason L. Williams, Yuxuan Xia, Karl Granström
The filters are based on propagating a Poisson multi-Bernoulli (PMB) density on the corresponding set of trajectories through the filtering recursion.
1 code implementation • 17 Dec 2019 • Karl Granström, Lennart Svensson, Yuxuan Xia, Jason Williams, Ángel F. García-Fernández
First, we show that, for the standard point target model, the PMBM density is conjugate also for sets of trajectories.
1 code implementation • 4 Dec 2019 • Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández, Jason L. Williams
A multi-scan trajectory PMBM filter and a multi-scan trajectory MBM filter, with the ability to correct past data association decisions to improve current decisions, are presented.
Signal Processing
2 code implementations • 19 Nov 2019 • Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández, Jason L. Williams
The Poisson multi-Bernoulli mixture (PMBM) is a multi-target distribution for which the prediction and update are closed.
Signal Processing
1 code implementation • 23 Aug 2019 • Ángel F. García-Fernández, Yuxuan Xia, Karl Granström, Lennart Svensson, Jason L. Williams
This paper presents the Gaussian implementation of the multi-Bernoulli mixture (MBM) filter.
no code implementations • 23 Aug 2019 • Ángel F. García-Fernández, Lennart Svensson
In this paper, we show the spooky effect at a distance that arises in optimal estimation of multiple targets with the optimal sub-pattern assignment (OSPA) metric.
1 code implementation • 29 Nov 2018 • Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández
This paper proposes an efficient implementation of the Poisson multi-Bernoulli mixture (PMBM) trajectory filter.
1 code implementation • 21 Nov 2018 • Ángel F. García-Fernández, Lennart Svensson
This paper presents the probability hypothesis density filter (PHD) and the cardinality PHD (CPHD) filter for sets of trajectories, which are referred to as the trajectory PHD (TPHD) and trajectory CPHD (TCPHD) filters.
no code implementations • 13 Sep 2018 • Ángel F. García-Fernández, Filip Tronarp, Simo Särkkä
This paper proposes a new algorithm for Gaussian process classification based on posterior linearisation (PL).
1 code implementation • 4 Jan 2018 • Yuxuan Xia, Karl Granström, Lennart Svensson, Maryam Fatemi, Ángel F. García-Fernández, Jason L. Williams
The Poisson multi-Bernoulli mixture (PMBM) is a multi-object conjugate prior for the closed-form Bayes random finite sets filter.
1 code implementation • 13 Mar 2017 • Ángel F. García-Fernández, Jason L. Williams, Karl Granström, Lennart Svensson
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.
1 code implementation • 26 May 2016 • Ángel F. García-Fernández, Lennart Svensson, Mark R. Morelande
We propose a solution of the multiple target tracking (MTT) problem based on sets of trajectories and the random finite set framework.
no code implementations • 24 May 2016 • Ángel F. García-Fernández, Lennart Svensson
This paper presents the probability hypothesis density (PHD) filter for sets of trajectories: the trajectory probability density (TPHD) filter.
1 code implementation • 4 May 2016 • Ángel F. García-Fernández, Abu Sajana Rahmathullah, Lennart Svensson
In this paper, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way.
2 code implementations • 21 Jan 2016 • Abu Sajana Rahmathullah, Ángel F. García-Fernández, Lennart Svensson
This paper presents the generalized optimal sub-pattern assignment (GOSPA) metric on the space of finite sets of targets.