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An algorithm for the estimation of multiple targets from partial and corrupted observations is introduced based on the concept of partially-distinguishable multi-target system. It combines the advantages of engineering solutions like MHT…

Probability · Mathematics 2017-12-05 J. Houssineau , D. E. Clark

This paper addresses distributed multi-target tracking (DMTT) over a network of sensors having different fields-of-view (FoVs). Specifically, a cardinality probability hypothesis density (CPHD) filter is run at each sensor node. Due to the…

Systems and Control · Electrical Eng. & Systems 2020-06-26 Guchong Li , Giorgio Battistelli , Luigi Chisci , Wei Yi , Lingjiang Kong

The Probability Hypothesis Density (PHD) and Cardinalized PHD (CPHD) filters are popular solutions to the multi-target tracking problem due to their low complexity and ability to estimate the number and states of targets in cluttered…

Methodology · Statistics 2018-02-14 Isabel Schlangen , Emmanuel D. Delande , Jeremie Houssineau , Daniel E. Clark

In this paper, we derive the robust TPHD (R-TPHD) filter, which can adaptively learn the unknown detection profile history and clutter rate. The R-TPHD filter is derived by obtaining the best Poisson posterior density approximation over…

Signal Processing · Electrical Eng. & Systems 2021-11-09 Shaoxiu Wei , Boxiang Zhang , Wei Yi

Truncated densities are probability density functions defined on truncated domains. They share the same parametric form with their non-truncated counterparts up to a normalizing constant. Since the computation of their normalizing constants…

Machine Learning · Statistics 2022-04-21 Song Liu , Takafumi Kanamori , Daniel J. Williams

Predictive posterior densities (PPDs) are of interest in approximate Bayesian inference. Typically, these are estimated by simple Monte Carlo (MC) averages using samples from the approximate posterior. We observe that the signal-to-noise…

Machine Learning · Computer Science 2024-05-31 Abhinav Agrawal , Justin Domke

Machine learning, especially deep neural networks, has been rapidly developed in fields including computer vision, speech recognition and reinforcement learning. Although Mini-batch SGD is one of the most popular stochastic optimization…

Machine Learning · Computer Science 2019-03-12 Xinyu Peng , Li Li , Fei-Yue Wang

The single sensor probability hypothesis density (PHD) and cardinalized probability hypothesis density (CPHD) filters have been developed in the literature using the random finite set framework. The existing multisensor extensions of these…

Methodology · Statistics 2019-05-29 Santosh Nannuru , Stephane Blouin , Mark Coates , Michael Rabbat

Theoretically-inspired sequential density ratio estimation (SDRE) algorithms are proposed for the early classification of time series. Conventional SDRE algorithms can fail to estimate DRs precisely due to the internal overnormalization…

Machine Learning · Computer Science 2023-02-21 Akinori F. Ebihara , Taiki Miyagawa , Kazuyuki Sakurai , Hitoshi Imaoka

Random finite sets (RFSs) has been a fruitful area of research in recent years, yielding new approximate filters such as the probability hypothesis density (PHD), cardinalised PHD (CPHD), and multiple target multi-Bernoulli (MeMBer). These…

Systems and Control · Computer Science 2015-03-19 Jason L. Williams

This letter investigates the convergence and concentration properties of the Stochastic Mirror Descent (SMD) algorithm utilizing biased stochastic subgradients. We establish the almost sure convergence of the algorithm's iterates under the…

Optimization and Control · Mathematics 2024-07-09 Anik Kumar Paul , Arun D Mahindrakar , Rachel K Kalaimani

In the process of tracking multiple point targets in space using radar, since the targets are spatially well separated, the data between them will not be confused. Therefore, the multi-target tracking problem can be transformed into a…

Signal Processing · Electrical Eng. & Systems 2024-09-25 Mushen Lin , Fenggang Yan , Lingda Ren , Xiangtian Meng , Maria Greco , Fulvio Gini , Ming Jin

Many multi-object estimation problems require additional estimation of model or sensor parameters that are either common to all objects or related to unknown characterisation of one or more sensors. Important examples of these include…

Statistics Theory · Mathematics 2017-05-16 Isabel Schlangen , Daniel E. Clark , Emmanuel D. Delande

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

In this paper, we propose a multiobjective optimization framework for the sensor selection problem in uncertain Wireless Sensor Networks (WSNs). The uncertainties of the WSNs result in a set of sensor observations with insufficient…

Systems and Control · Computer Science 2016-09-21 Nianxia Cao , Sora Choi , Engin Masazade , Pramod K. Varshney

Person detection and tracking (PDT) has seen significant advancements with 2D camera-based systems in the autonomous vehicle field, leading to widespread adoption of these algorithms. However, growing privacy concerns have recently emerged…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Eunsoo Im , Changhyun Jee , Jung Kwon Lee

The joint probabilistic data association (JPDA) filter is a popular tracking methodology for problems involving well-spaced targets, but it is rarely applied in problems with closely-spaced targets due to its complexity in these cases, and…

Systems and Control · Computer Science 2014-12-16 Jason L. Williams

Classifying sequential data as early and as accurately as possible is a challenging yet critical problem, especially when a sampling cost is high. One algorithm that achieves this goal is the sequential probability ratio test (SPRT), which…

Machine Learning · Computer Science 2021-02-09 Akinori F. Ebihara , Taiki Miyagawa , Kazuyuki Sakurai , Hitoshi Imaoka

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

Modern visual trackers usually construct online learning models under the assumption that the feature response has a Gaussian distribution with target-centered peak response. Nevertheless, such an assumption is implausible when there is…

Computer Vision and Pattern Recognition · Computer Science 2020-05-05 Qintao Hu , Lijun Zhou , Xiaoxiao Wang , Yao Mao , Jianlin Zhang , Qixiang Ye