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We review two existing interpretations of fuzzy random variables. In the first one, the fuzzy random variable is viewed as a linguistic random variable. In the second case, it re...
Bulk-arrival queues with single servers that provide bulk service are widespread in the real world, e.g., elevators in buildings, people-movers in amusement parks, air-cargo deliv...
Let X be the random variable that counts the number of triangles in the binomial random graph G(n, p). We show that for some positive constant c, the probability that X deviates f...
This paper addresses the problem of efficiently solving large-scale energy minimization problems encountered in computer vision. We propose an energy-aware method for merging ran...
Taesup Kim, Sebastian Nowozin, Pushmeet Kohli, Cha...
A random set can be regarded as the result of the imprecise observation of a random variable. Following this interpretation, we study to which extent the upper and lower probabili...
: ForasubsetS ofpositiveintegerslet (n, S)bethesetofpartitionsofnintosummands that are elements of S. For every (n, S), let Mn() be the number of parts, with multiplicity, that ...
We consider {0, 1}n as a sample space with a probability measure on it, thus making pseudo-Boolean functions into random variables. We then derive explicit formulas for approximat...
Guoli Ding, Robert F. Lax, Jianhua Chen, Peter P. ...
Consider the minimum mean-square error (MMSE) of estimating an arbitrary random variable from its observation contaminated by Gaussian noise. The MMSE can be regarded as a function...
How much do two profiles of the same program differ? When has a profile changed enough to warrant reexamination of the profiled program? And how should two or more profiles be com...
Optimality conditions are derived for problems of minimizing a general measure of deviation of a random variable, with special attention to situations where the random variable cou...
R. Tyrrell Rockafellar, Stan Uryasev, Michael Zaba...