Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Mutual Information: ContinuedExplores mutual information for quantifying statistical dependence between variables and inferring probability distributions from data.
Exponential FamilyCovers the properties of the exponential family and the estimation of parameters.
Testing: t-testsCovers t-tests, p-values calculation, and comparison of coefficients.
Maximum Likelihood InferenceExplores maximum likelihood inference, comparing models based on likelihood ratios and demonstrating with a coin example.
Discrete Choice AnalysisIntroduces Discrete Choice Analysis, covering scale, depth, data collection, and statistical inference.
Inference of Reaction KineticsFocuses on the inference of reaction kinetics in combustion, covering rules inference, sensitivity analysis, and Bayesian inference.