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In this paper, a novel approach is proposed for multi-target joint detection, tracking and classification based on the labeled random finite set and generalized Bayesian risk using Radar and ESM sensors. A new Bayesian risk is defined for…

Signal Processing · Electrical Eng. & Systems 2018-07-09 Minzhe Li , Zhongliang Jing

Compositional data and multivariate count data with known totals are challenging to analyse due to the non-negativity and sum-to-one constraints on the sample space. It is often the case that many of the compositional components are highly…

Methodology · Statistics 2020-12-24 Janice L. Scealy , Andrew T. A. Wood

Passive multi-target tracking applications require the integration of multiple spatially distributed sensor measurements to distinguish true tracks from ghost tracks. A popular multi-target tracking approach for these applications is the…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Christopher Berry , Donald J. Bucci , Samuel W. Schmidt

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

The challenges in multi-object tracking mainly stem from the random variations in the cardinality and states of objects during the tracking process. Further, the information on locations where the objects appear, their detection…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Cong-Thanh Do , Tran Thien Dat Nguyen , Diluka Moratuwage , Changbeom Shim , Yon Dohn Chung

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 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

The target measure $\mu$ is the distribution of a random vector in a box $\cB$, a Cartesian product of bounded intervals. The Gibbs sampler is a Markov chain with invariant measure $\mu$. A ``coupling from the past'' construction of the…

Probability · Mathematics 2007-09-25 Pedro J. Fernandez , Pablo A. Ferrari , Sebastian Grynberg

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

We propose a linear-complexity method for sampling from truncated multivariate normal (TMVN) distributions with high fidelity by applying nearest-neighbor approximations to a product-of-conditionals decomposition of the TMVN density. To…

Computation · Statistics 2024-06-26 Jian Cao , Matthias Katzfuss

This paper proposes a new pitch estimator and a novel pitch tracker for speakers. We first decompose the sound signal into subbands using an auditory filterbank, assuming time-frequency sparsity of human speech. Instead of directly…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-03 Shoufeng Lin

Sensor management in multi-object stochastic systems is a theoretically and computationally challenging problem. This paper presents a novel approach to the multi-target multi-sensor control problem within the partially observed Markov…

Systems and Control · Computer Science 2017-09-18 Xiaoying Wang , Reza Hoseinnezhad , Amirali K. Gostar , Tharindu Rathnayake , Benlian Xu , Alireza Bab-Hadiashar

In multi-object stochastic systems, the issue of sensor management is a theoretically and computationally challenging problem. In this paper, we present a novel random finite set (RFS) approach to the multi-target sensor management problem…

Systems and Control · Computer Science 2014-04-14 Hung Gia Hoang , Ba Tuong Vo

An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

Information Theory · Computer Science 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

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

We present a random finite set-based method for achieving comprehensive situation awareness by each vehicle in a distributed vehicle network. Our solution is designed for labeled multi-Bernoulli filters running in each vehicle. It involves…

Signal Processing · Electrical Eng. & Systems 2022-09-12 James Klupacs , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Jennifer Palmer , Reza Hosseinezhad

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

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. We define a…

Signal Processing · Electrical Eng. & Systems 2024-09-16 Marco Fontana , Ángel F. García-Fernández , Simon Maskell

Information-driven control can be used to develop intelligent sensors that can optimize their measurement value based on environmental feedback. In object tracking applications, sensor actions are chosen based on the expected reduction in…

Signal Processing · Electrical Eng. & Systems 2023-05-23 Keith A. LeGrand , Pingping Zhu , Silvia Ferrari

Completely random measures provide a principled approach to creating flexible unsupervised models, where the number of latent features is infinite and the number of features that influence the data grows with the size of the data set. Due…

Machine Learning · Statistics 2020-06-26 Peiyuan Zhu , Alexandre Bouchard-Côté , Trevor Campbell