Statistical Learning and Selected Research Topics

Lecturers: C. Sala (Fixed-term Researcher, DIFA), D. Remondini (Full Professor, DIFA), G. Castellani (Full Professor, DIMES)

Duration: 24 hours (12 given by C. Sala, 6 by G. Castellani and 6 by D. Remondini) in April and May

Programme:

Part 1

Stochastic processes and probability distributions

Master equation and Fokker Planck equation

Modeling of spatial patterns and spatial statistics

Part 2

Multi-parametric methods and dimensionality reduction techniques (PCA, SVD, etc.)

Pattern Recognition

Part 3

Parametric and Nonparametric hypothesis tests

The p-value: statistical significance, bias and inflation

Linear regression models. Random effect and mixed-effect models

Batch effect, data normalization and harmonization

Meta-analysis

Simulations and implementation of some of the discussed methods in R