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Sensor Control in Anti-Submarine Warfare—A Digital Twin and Random Finite Sets Based Approach [PDF]

open access: yesEntropy, 2019
Since the submarine has become the major threat to maritime security, there is an urgent need to find a more efficient method of anti-submarine warfare (ASW).
Peng Wang   +5 more
doaj   +4 more sources

Jointly-Optimized Searching and Tracking with Random Finite Sets [PDF]

open access: yesIEEE Transactions on Mobile Computing, 2020
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   +2 more
exaly   +6 more sources

Set Functions and Probability Distributions of a Finite Random Sets [PDF]

open access: yesJournal 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
Lukyanova, Natalia A.   +2 more
core   +10 more sources

Labeled random finite sets vs. trajectory random finite sets

open access: yesCoRR, 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 ...
Mahler, Ronald
openaire   +3 more sources

Random strings and tt-degrees of Turing complete C.E. sets [PDF]

open access: yesLogical Methods in Computer Science, 2014
We investigate the truth-table degrees of (co-)c.e.\ sets, in particular, sets of random strings. It is known that the set of random strings with respect to any universal prefix-free machine is Turing complete, but that truth-table completeness depends ...
Mingzhong Cai   +4 more
doaj   +2 more sources

Multiple Extended Target Tracking With Labeled Random Finite Sets [PDF]

open access: yesIEEE Transactions on Signal Processing, 2016
Targets that generate multiple measurements at a given instant in time are commonly known as extended targets. These present a challenge for many tracking algorithms, as they violate one of the key assumptions of the standard measurement model. In this paper, a new algorithm is proposed for tracking multiple extended targets in clutter, that is capable
Michael Beard   +2 more
exaly   +4 more sources

Compositions of Random Functions on a Finite Set [PDF]

open access: yesThe 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 Dalal, Eric Schmutz
openaire   +2 more sources

A Probabilistic Version of Eneström–Kakeya Theorem for Certain Random Polynomials

open access: yesMathematics, 2023
This paper presents a comprehensive exploration of a probabilistic adaptation of the Eneström–Kakeya theorem, applied to random polynomials featuring various coefficient distributions.
Sajad A. Sheikh   +4 more
doaj   +1 more source

Fuzzy finite element analysis based on the transformation between fuzzy and random variables

open access: yesVietnam Journal of Science, Technology and Engineering, 2022
In this paper, a fuzzy finite element method (FFEM) for determining the responses of structures is proposed by using the transformation between fuzzy and random variables.
Tuan Hung Nguyen, Huynh Xuan Le
doaj   +1 more source

A Sector-Matching Probability Hypothesis Density Filter for Radar Multiple Target Tracking

open access: yesApplied Sciences, 2023
The development of high-tech, dim, small targets, such as drones and cruise missiles, brings great challenges to radar multi-target tracking (MTT), making it necessary to extend the beam dwell time to obtain a high signal-to-noise ratio (SNR).
Jialin Yang   +6 more
doaj   +1 more source

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