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Mathematics of Probabilistic Uncertainty Modeling

2014
This chapter presents the uncertainty modeling using probabilistic methods. Probabilistic method of uncertainty analysis is due to randomness of the parameters of a model. Randomness of parameters is characterized by specified probability distribution such as normal, log normal, exponential etc., and the corresponding samples are generated by various ...
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A mathematical form of probabilistic vulnerability model for loss and casualty ratios

Earthquake Spectra, 2020
A parametric mathematical form of vulnerability function is developed that gives a full probabilistic description of losses as a function of earthquake ground shaking intensity. The model is intended to be used with any loss measure that can take values between 0% and 100%, inclusive, including normalized financial losses (damage ratios), human ...
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Uncertainty quantification using probabilistic numerics: application to models in mathematical epidemiology

Inverse Problems in Science and Engineering, 2017
Probabilistic numerics (PN) is a framework for analysing numerical algorithms accounting for all sources of numerical errors, including errors due to both round off and the choice of numerical sche...
Vanja Dukic, David M. Bortz
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A new mathematical model for the Weber location problem with a probabilistic polyhedral barrier

International Journal of Production Research, 2013
With the wide application of location theory in a variety of industries, the presence of barriers ‎merits the attention of managers and engineers.‎ In this paper, we assess the Weber location problem in the presence of a polyhedral barrier which probabilistically occurs on a given horizontal barrier route in the rectilinear space.
Amiri-Aref, Mehdi   +3 more
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Mathematical Modeling of Social Networks: A Probabilistic Approach to Explore Relationship in Social Networks

2016 8th International Conference on Computational Intelligence and Communication Networks (CICN), 2016
Online Social Networks system is based on the relationship among members of social networks. Communication among nodes influences their relationship. Relationship among nodes may be visible or invisible. The relationship among members of social networks passes through three stages of life cycles which are primary stage, secondary stage and termination ...
Manoj Kumar Srivastav, Asoke Nath
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Mathematical models of functional extreme leaning machins: operator-algebraic and free-probabilistic approaches

Aequationes mathematicae
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cho, Ilwoo, Jorgensen, Palle E. T.
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Discussion of Mathematical Models of Probabilistic Constraints Calculation in Reliability-Based Design Optimization

Advanced Materials Research, 2011
In a reliability-based design optimization (RBDO) problem, most of the computations are used for probabilistic constraints assessment, i.e., reliability analysis. Therefore, the effectiveness, especially the correctness of the reliability analysis is very important.
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A Probabilistic Framework Based on Mathematical Models with Application to Medical Data Streams

2012
This thesis presents a new probability-based framework which exploits existing domain knowledge in the form of mathematical models and uses real-time data streams to individualise model parameters. We apply this new framework to personalising drug dosage regimes in critically ill patients, using routinely collected bedside and lab data. However, it can
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Using mathematical models for calculation of the probabilistic characteristics of product failsafe

AIP Conference Proceedings, 2020
V. I. Serdyukov   +2 more
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