Galoitica: Journal of Mathematical Structures and Applications

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https://doi.org/10.54216/GJSMA

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Volume 10 , Issue 1 , PP: 31-38, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

The Use of Bayesian Techniques with Binary and Vector Data

Shaymaa Riyadh Thanoon 1 *

  • 1 Department Basic Sciences, College of Nursing, Mosul University, Nineveh, Iraq - (shaymaa.riadh@uomosul.edu.iq)
  • Doi: https://doi.org/10.54216/GJMSA.0100104

    Received: May 20, 2023 Revised: June 25, 2023 Accepted: July 30, 2023
    Abstract

    This research provides a conceptual framework and examples for applying Bayesian techniques to binary and vector data.  For the binary data, for observations take on one of two possible values, Bayesian logistic regression and Bayesian networks are techniques,  applicable Bayesian logistic regression places priors on the coefficients and derives the posterior using the likelihoods under a logistic model. Bayesian networks represent dependencies between binary variables graphically and perform inference using conditional probability tables. For vector data, where observations are multi-dimensional, Bayesian linear regression places priors on the regression coefficients and finds posterior using the likelihoods under linear model. Gaussian process regression models the relationship between inputs and outputs as a draw from a   Gaussian process prior and computes the posterior process given observed data. The research provides the conceptual framework underlying Bayesian analysis, including key concepts such as prior and posterior distributions. It highlights the advantages of Bayesian methods like the ability to incorporate domain knowledge and model uncertainty. Numerical examples demonstrate how Bayesian techniques can be applied to binary and vector data classification tasks. The abstract summarizes the core ideas and contributions of the research on this topic.

    Keywords :

    Binary data , Gaussian process , Logistic regression , Vector data

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    Cite This Article As :
    Riyadh, Shaymaa. The Use of Bayesian Techniques with Binary and Vector Data. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2023, pp. 31-38. DOI: https://doi.org/10.54216/GJMSA.0100104
    Riyadh, S. (2023). The Use of Bayesian Techniques with Binary and Vector Data. Galoitica: Journal of Mathematical Structures and Applications, (), 31-38. DOI: https://doi.org/10.54216/GJMSA.0100104
    Riyadh, Shaymaa. The Use of Bayesian Techniques with Binary and Vector Data. Galoitica: Journal of Mathematical Structures and Applications , no. (2023): 31-38. DOI: https://doi.org/10.54216/GJMSA.0100104
    Riyadh, S. (2023) . The Use of Bayesian Techniques with Binary and Vector Data. Galoitica: Journal of Mathematical Structures and Applications , () , 31-38 . DOI: https://doi.org/10.54216/GJMSA.0100104
    Riyadh S. [2023]. The Use of Bayesian Techniques with Binary and Vector Data. Galoitica: Journal of Mathematical Structures and Applications. (): 31-38. DOI: https://doi.org/10.54216/GJMSA.0100104
    Riyadh, S. "The Use of Bayesian Techniques with Binary and Vector Data," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 31-38, 2023. DOI: https://doi.org/10.54216/GJMSA.0100104