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A random set characterization of possibility measures
2004
Information Sciences
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Several authors have pointed out the relationship between consonant random sets and possibility measures. ...
However, this relationship has only been proven for the finite case, where the inverse Möbius of the upper probability induced by the random set simplifies the computations to a great extent. ...
random sets and see if the one-point coverage function suffices to characterize the random set). ...
doi:10.1016/j.ins.2003.09.028
fatcat:dzueijab5fccblaaymkqbiesei
An existence theorem for measures on partially ordered sets, with applications to random set theory
1987
Stochastic Processes and their Applications
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A careful study of the geometry of the set of singularities has now made possible a completely general solution and an outline of this will be presented. ...
spatial change in a system since the last measurement was taken and T(n) is a random variable representing the measured time since the last measurement was taken. ...
A careful study of the geometry of the set of singularities has now made possible a completely general solution and an outline of this will be presented. ...
doi:10.1016/0304-4149(87)90110-4
fatcat:gp2m5xesdjazxdrid2vumrpqme
Quantum randomness extraction for various levels of characterization of the devices
2014
Journal of Physics A: Mathematical and Theoretical
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2014 pre-print arXiv:1401.4243v2 fatcat:g2yj45qpzjaynj3n5djheracpeOther Versions
The amount of intrinsic randomness that can be extracted from measurement on quantum systems depends on several factors: notably, the power given to the adversary and the level of characterization of the ...
We present for this case a systematic and efficient approach to quantifying the amount of intrinsic randomness, and show that setups involving ancillas (POVMs, pointer measurements) may not be interesting ...
We thank two anonymous referees for useful comments that lead to improving the structure of the paper, and Gonzalo de la Torre for discussions. ...
doi:10.1088/1751-8113/47/42/424028
fatcat:uh5vrcxg4bew5egqmcvshxqv4e
Information-theoretic characterizations of conditional mutual independence and Markov random fields
2002
IEEE Transactions on Information Theory
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Using the theory of -Measure, we have obtained a number of fundamental characterizations related to conditional mutual independence and Markov random fields. ...
Toward the end of the paper, we obtain a hypergraph characterization of a Markov random field which makes it legitimate to view a Markov random field as a hypergraph. ...
ACKNOWLEDGMENT The authors wish to thank both reviewers for the three rounds of very helpful comments on the manuscript. ...
doi:10.1109/tit.2002.1013139
fatcat:cfkbavwqaffy3bzobwqoufxbju
Inequalities in Information Theory
[chapter]
2005
Elements of Information Theory
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This motivated researchers to seek a formal method to check all possible inequalities. ...
measures of probability distributions. ...
For any set of random variables, all possible such measures are non-negative. This non negativity of all Shannon's information measures form a set of inequalities known as basic inequalities. ...
doi:10.1002/047174882x.ch17
fatcat:oy23t5cdlvcadnl4cpl2ndkus4
On some characterization problems connected with stochastic integrals
1971
Quarterly of Applied Mathematics
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then the associated measure G factors into the product of Lebesgue measure on the Borel sets of R and a finite measure on(_oo, a>).Two important random measures are those characterized by normal laws ...
Thus B = i*kBit is a set of V2-measure zero. ...
doi:10.1090/qam/288872
fatcat:fbfqgrbj35ej5h3nccmcres3ry
Evolution models for dynamic networks
2015
2015 38th International Conference on Telecommunications and Signal Processing (TSP)
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This paper proposes a mathematical framework for modelling the evolution of dynamic networks. ...
Such framework allows the time analysis of the relationship between the dynamic laws and the network characterizing features (degree distribution, clustering coefficient, controllability indexes, etc.) ...
Such space can be denoted by (Q,Y¡g,P) , where Q is the sample space (or set of possible networks), Eg corresponds with the set of all possible events, and P is a probability measure on Eg.
A. ...
doi:10.1109/tsp.2015.7296262
dblp:conf/tsp/ZufiriaB15
fatcat:cdr6kno7j5hyxmu5qumttc5adq
Maybe there's no such thing as a random sequence
[article]
2011
arXiv
pre-print
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There are only countably many such properties, so it would seem that the set of random sequences should have full measure. ...
An infinite binary sequence is deemed to be random if it has all definable properties that hold almost surely for the usual probability measure on the set of infinite binary sequences. ...
And so we can't write a formula characterizing random sequences. What we can do is write a formula characterizing random sequences within a given model of set theory. ...
arXiv:1103.3494v1
fatcat:65lcx4b6xjbpxc3pze7j6mvqwa
A Novel Algorithm For Finding Equilibrium Strategy In Two Person Zero Sum Game With Fuzzy Strategy Sets And Payoffs
2011
Journal of Mathematics and Computer Science
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This paper investigates a two person zero sum matrix game in which the payoffs and strategy are characterized as random fuzzy variables. ...
After that, based on the constraints, the feasible strategy string sets of the players for multi conflict situations are constructed. ...
An algorithm based on random fuzzy simulation is designed to seek the minimax equilibrium strategy. P the power set of , and Pos a possibility measure, then the triplet a possibility space. ...
doi:10.22436/jmcs.02.04.02
fatcat:zw4h5ecuibfupe74l377e4hocy
Entropy Characterization of Random Network Models
2017
Entropy
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complexity measures, providing new insight on the generation and characterization of random networks. ...
This paper elaborates on the Random Network Model (RNM) as a mathematical framework for modelling and analyzing the generation of complex networks. ...
Acknowledgments: This work has been partially supported by project MTM2015-67396-P of Ministerio de Economía y Competitividad, Spain. ...
doi:10.3390/e19070321
fatcat:53kqlhe2cve67o2lcrgofez3ui
Semi-device-independent framework based on natural physical assumptions
2017
Quantum
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We characterize the set of correlations that may be exhibited in the simplest possible scenario compatible with our new framework, based on two energy-constrained state preparations and a two-outcome measurement ...
Interestingly, we uncover the existence of quantum correlations exceeding the set of classical correlations that can be produced by devices behaving in a purely pre-determined fashion (possibly including ...
This later process is characterized by a set of unknown measurement operators {M b|y }. ...
doi:10.22331/q-2017-11-18-33
fatcat:lsbijwi5nzfp7bjfedvvb6ofvy
Performance Characterization in Computer Vision
1994
CVGIP: Image Understanding
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various kinds of random degradations of the input data. ...
Determination of the performance of a total computer vision algorithm is possible if the performance of each of the sub-algorithm constituents is given. ...
,xj, which can be set, J different variables yi,...,yj characterizing the random perturbation process, and K different measurements z\,..., ZK to be made on each image. ...
doi:10.1006/ciun.1994.1050
fatcat:szxvhm4vu5fahmfg23kscuhxjm
Performance Characterization in Computer Vision
1992
Procedings of the British Machine Vision Conference 1992
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various kinds of random degradations of the input data. ...
Determination of the performance of a total computer vision algorithm is possible if the performance of each of the sub-algorithm constituents is given. ...
,xj, which can be set, J different variables yi,...,yj characterizing the random perturbation process, and K different measurements z\,..., ZK to be made on each image. ...
doi:10.5244/c.6.1
dblp:conf/bmvc/Haralick92
fatcat:4sznvbesuzg6jaxgdrakcuyifq
Performance Characterization in Computer Vision
1994
Computer Vision and Image Understanding
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The file type is application/pdf.
various kinds of random degradations of the input data. ...
Determination of the performance of a total computer vision algorithm is possible if the performance of each of the sub-algorithm constituents is given. ...
,xj, which can be set, J different variables yi,...,yj characterizing the random perturbation process, and K different measurements z\,..., ZK to be made on each image. ...
doi:10.1006/cviu.1994.1055
fatcat:jzzvj5k2rjfxzfquaq6nqhfg4a
Performance characterization in computer vision
[chapter]
1993
Lecture Notes in Computer Science
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various kinds of random degradations of the input data. ...
Determination of the performance of a total computer vision algorithm is possible if the performance of each of the sub-algorithm constituents is given. ...
,xj, which can be set, J different variables yi,...,yj characterizing the random perturbation process, and K different measurements z\,..., ZK to be made on each image. ...
doi:10.1007/3-540-57233-3_1
fatcat:365dj5c5afejtdoittdau6hjru
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