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Random Finite Set Based Bayesian Filtering with OpenCL in a Heterogeneous Platform [PDF]
Sensors, 2017 While most filtering approaches based on random finite sets have focused on improving performance, in this paper, we argue that computation times are very important in order to enable real-time applications such as pedestrian detection. Towards this goal,
Biao Hu +7 more
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Time-Matching Random Finite Set-Based Filter for Radar Multi-Target Tracking [PDF]
Sensors, 2018 The random finite set (RFS) approach provides an elegant Bayesian formulation of the multi-target tracking (MTT) problem without the requirement of explicit data association.
Defu Jiang +5 more
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Random Finite Set Based Parameter Estimation Algorithm for Identifying Stochastic Systems [PDF]
Entropy, 2018 Parameter estimation is one of the key technologies for system identification. The Bayesian parameter estimation algorithms are very important for identifying stochastic systems.
Peng Wang, Ge Li, Yong Peng, Rusheng Ju
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Distributed Space Debris Tracking with Consensus Labeled Random Finite Set Filtering [PDF]
Sensors, 2018 Space debris tracking is a challenge for spacecraft operation because of the increasing number of both satellites and the amount of space debris. This paper investigates space debris tracking using marginalized δ -generalized labeled multi ...
Baishen Wei, Brett Nener
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Compositions of Random Functions on a Finite Set [PDF]
The Electronic Journal of Combinatorics, 2002 If we compose sufficiently many random functions on a finite set, then the composite function will be constant. We determine the number of compositions that are needed, on average. Choose random functions $f_1, f_2,f_3,\dots $ independently and uniformly from among the $n^n$ functions from $[n]$ into $[n]$.
Avinash J. Dalal, Eric Schmutz
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Set Functions and Probability Distributions of a Finite Random Sets [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2017 Summary: This paper is the investigation of the probability distributions of a finite random set in which the set of random events are considered as a support of the finite random set. These probability distributions can be defined by six equivalent ways (distributions of the I-st-VI-th type). Each of these types of the probability distributions is the
Natalia A. Lukyanova, Daria V. Semenova
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Jointly-Optimized Searching and Tracking with Random Finite Sets [PDF]
IEEE Transactions on Mobile Computing, 2019 In this paper, we investigate the problem of joint searching and tracking of multiple mobile targets by a group of mobile agents. The targets appear and disappear at random times inside a surveillance region and their positions are random and unknown. The agents have limited sensing range and receive noisy measurements from the targets.
Savvas Papaioannou +4 more
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Tracking Cells and Their Lineages Via Labeled Random Finite Sets [PDF]
IEEE Transactions on Signal Processing, 2021 Determining the trajectories of cells and their lineages or ancestries in live-cell experiments are fundamental to the understanding of how cells behave and divide. This paper proposes novel online algorithms for jointly tracking and resolving lineages of an unknown and time-varying number of cells from time-lapse video data.
Tran Thien Dat Nguyen +4 more
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Random semigroup acts on a finite set [PDF]
Journal of the Australian Mathematical Society, 1977 AbstractLetXbe a finite set andSa semigroup of transformations ofX. We investigate the trace onXof a random walk onS. We relate the structure of the trace process, which turns out to be a Markov chain, to that of the random walk. We show, for example, that all periods of the trace process divide the period of the random walk.
Göran Högnäs
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Random finite sets for multitarget tracking with applications
, 2011 Multitarget tracking is the process of jointly determining the number of targets present and their states from noisy sets of measurements. The difficulty of the multitarget tracking problem is that the number of targets present can change as targets appear and disappear while the sets of measurements may contain false alarms and measurements of true ...
Trevor Wood
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