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

