Conditional Probability in Machine Learning
DOI:
https://doi.org/10.54097/jeer.v4i2.10647Keywords:
Conditional Probability, Bayesian Learning, Gaussian Processes for Regression and Classification, Linear-Gaussian Models, Linear Dynamical SystemsAbstract
To help teaching of machine learning course, manipulation rules and application examples of conditional probabilities in machine learning are presented. The emphasis is to make a clear distinction between reasonable assumptions and logical deductions developed from assumptions and axioms. The formula for conditional probability of conditional probability is presented with examples in Bayesian coin tossing, Bayesian linear regression, and Gaussian processes for regression and classification. The signal + noise model is formulated in terms of a proposition and exemplified by linear-Gaussian models and linear dynamical systems.
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References
Wenqian Sun and Xing Gao (2018). The construction of undergraduate machine learning course in the artificial intelligence era. International Conference on Computer Science & Education, p.62-65.
Kevin Patrick Murphy (2022). Probabilistic machine learning: an introduction. MIT Press.
Christopher M. Bishop (2006). Pattern recognition and machine learning. Springer.
Athanasios Papoulis and S. Unnikrishna Pillai (2002). Probability, random variables, and stochastic processes (fourth edition). McGraw-Hill.
Carl Edward Rasmussen and Christopher K. I. Williams (2006). Gaussian processes for machine learning. MIT Press.










