Here are the slides and notes on the course hold by Prof. Chiaromonte at Sant’Anna University, Pisa.

Predictive Models for Time Series Analysis Time series analysis involves understanding data points collected over time, where the order of observations matters. By modeling the temporal dependencies, we can make forecasts, detect anomalies, cluster similar patterns, and perform classification or regression tasks on sequence data. Below is an extended overview with added details. 1. Introduction to Time Series Analysis A time series is typically defined as: $$ T = { x_1, x_2, \dots, x_m } $$ where each observation ( x_i ) is recorded at a specific time ( t_i ), usually at uniform intervals. ...

Here are my notes from the lectures on “Topological Data Analysis” that was held from Prof. Patrizio Frosini at UniPi in Jan 2025.