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 EmpiricalBayesGammaRegressor Symbols Negative Binomial marginal likelihood EM derivation (Minka 2002, section 2.1) Counts and exposure 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 Forgetting Strategies Symbols The update loop Exponential forgetting Stabilized forgetting (Kulhavy–Zarrop) Directional forgetting (SIFt) Choosing a strategy Adaptation from SIFt-RLS References Exploration Policies Thompson Sampling Upper Confidence Bound Epsilon-Greedy EXP3A References