Mathematical Reference# Update equations, hyperparameter semantics, and departures from textbook formulations. NormalRegressor Symbols Generative model Update equations Sampling Standalone decay Hyperparameter semantics References NormalInverseGammaRegressor Symbols Generative model Update equations Marginal posterior Sampling Decay Hyperparameter semantics References EmpiricalBayesNormalRegressor Symbols MacKay’s evidence maximization fit vs. partial_fit Precision correction Stabilized forgetting Hyperparameter semantics References EmpiricalBayesDirichletClassifier Symbols Dirichlet-Multinomial marginal likelihood (s, m) decomposition Counts extraction Stabilized forgetting fit vs. partial_fit Hyperparameter semantics Robustness to misspecified priors References Intercept-Only Models DirichletClassifier GammaRegressor When to use each References Bayesian GLM Symbols Prior Likelihood Laplace approximation via IRLS Sampling Decay Hyperparameter semantics Trade-offs vs. conjugate models References Exploration Policies Thompson Sampling Upper Confidence Bound Epsilon-Greedy EXP3A References