2022Unpublished venueOpen access

Demystifying Bayesian models using Bayesian linear regression

Soumya Banerjee

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Abstract

Bayesian models are very important in modern data science. These models can be used to derive estimatesfor noisy and sparse data. This manuscript outlines the basics and derivations of a Bayesian linearregression model. Source code for performing Bayesian linear regression is also provided. I hope this willenable broader understanding of the basics of Bayesian models and help demystify it for scientists.

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What this paper is about

Bayesian models are very important in modern data science. These models can be used to derive estimatesfor noisy and sparse data. This manuscript outlines the basics and derivations of a Bayesian linearregression model. Source code for performing Bayesian linear regression is also provided. I hope this willenable broader understanding of the basics of Bayesian models and help demystify it for scientists.

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Available abstract

Bayesian models are very important in modern data science. These models can be used to derive estimatesfor noisy and sparse data. This manuscript outlines the basics and derivations of a Bayesian linearregression model. Source code for performing Bayesian linear regression is also provided. I hope this willenable broader understanding of the basics of Bayesian models and help demystify it for scientists.

Key concepts: Bayesian probability, Bayesian linear regression, Variable-order Bayesian network, Bayesian multivariate linear regression, Bayesian statistics, Computer science, Bayesian inference, Linear regression

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