Results 11 to 20 of about 86,785 (302)
Asymptotic Behaviour of a Random Walk Killed on a Finite Set [PDF]
Potential Analysis, 2016 We study asymptotic behavior, for large time $n$, of the transition probability of a two-dimensional random walk killed when entering into a non-empty finite subset $A$. We show that it behaves like $4 \tilde u_A(x) \tilde u_{-A}(-y) (\lg n)^{-2} p^n(y- x)$ for large $n$, uniformly in the parabolic regime $|x|\vee |y| =O(\sqrt n)$, where $p^n(y-x)$ is ...
Kôhei Uchiyama
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Multi-object tracking using random finite sets [PDF]
, 2014 The aim of multi-object tracking is the estimation of the number of objects and their individual states using a sequence of measurements. While state of the art algorithms use object individual single-object trackers, the multi-object Bayes filter models the multi-object state as well as the measurement process using random finite sets which naturally ...
Stephan Reuter
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Bayes‐optimal tracking of two statistically correlated targets in general clutter
IET Signal Processing, 2022 The Bernoulli filter is a very general, computationally feasible Bayes‐optimal approach for tracking a single disappearing and reappearing target, using a single sensor whose observations are corrupted by missed detections and a known, general point ...
Ronald Mahler
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IEEE Access, 2021 Defect detection in the manufacturing industry is of utmost importance for product quality inspection. Recently, optical defect detection has been investigated as anomaly detection using different deep learning methods.
Ammar Mansoor Kamoona +3 more
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Random Finite Set-based Extended Target Tracking Method with Amplitude Information
Leida xuebao, 2020 The random finite set-based extended target tracking methods generally partition measurements by spatial information. It is possible to place clutter measurements into target cells in a dense clutter environment resulting in degradation of tracking ...
Chao LIU +3 more
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Labeled random finite sets vs. trajectory random finite sets
CoRR, 2023 The paper [12] discussed two approaches for multitarget tracking (MTT): the generalized labeled multi-Bernoulli (GLMB) filter and three Poisson multi-Bernoulli mixture (PMBM) filters. The paper [13] discussed two frameworks for multitarget trajectory representation--labeled random finite set (LRFS) and set of trajectories (SoT)--and the merging of SoT ...
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Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks
Applied Sciences, 2022 This study focuses on the finite-time set reachability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, based on the state transfer graph (STG) reconstruction technique, the PBMCNs are extended to random logic dynamical systems ...
Yuxin Cui +3 more
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Mathematics, 2021 This paper deals with the search for reliable efficient finite difference methods for the numerical solution of random heterogeneous diffusion reaction models with a finite degree of randomness.
María Consuelo Casabán +2 more
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Bernoulli Filters for Multiple Correlated Sensors
IEEE Access, 2021 The Bernoulli filter is a general, Bayes-optimal solution for tracking a single disappearing and reappearing target, using a single sensor whose observations are corrupted by missed detections and a general, known clutter process.
Ronald Mahler
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Exact Closed-Form Multitarget Bayes Filters
Sensors, 2019 The finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion has inspired work by dozens of research groups in at least 20 nations; and FISST publications have been cited tens of thousands of times.
Ronald Mahler
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