Introduction to data-driven dynamical systems

I am pleased to announce a new series of graduate student workshops titled “Introduction to Data-Driven Dynamical Systems”, which will run during the Academic Year 2025–2026.

This 6-lecture series is designed to introduce you to the theory and applications of modern data-driven methods in dynamical systems, with particular emphasis on sparse identification, federated learning, and the integration of classical modeling with data science. Here is a brief schedule with the topics of each lecture.

Schedule & Topics

• Lecture 1: Introduction to the Project & Team Slides

• Lecture 2: Background in Statistics and Differential Equations

• Lecture 3: Data-Driven Dynamical Systems

• Lecture 4: Federated Learning

• Lecture 5: Hands-on Session – Federated SINDy

• Lecture 6: Hands-on Session – Federated SINDy

Key Learning Goals

During these lectures, you will

• Gain insight into the transition from classical mathematical modeling to modern data science.

• Understand the emerging field of science-informed machine learning, which bridges theoretical rigor with data-driven effectiveness.

• Learn sparse identification methods for discovering governing equations from empirical data.

• Explore federated approaches to dynamical systems modeling, preserving privacy while enabling collaborative science.

• Get hands-on experience with Anaconda, Python, and Jupyter notebooks.

Practical Information

• The first lecture will be Wednesday 17th September 2025 @ noon in KT 218

• Please, bring your own laptop, as we will need it to install some software.

Data Science for the Biological Sciences Workshops

LAB 1 - Tuesday 3rd December 2024 - Kathleen Lois Foster & Alessandro Maria Selvitella

Background on how to use R, the use of variables to store information, how to call particular elements of a matrix, how to install and use packages.

LAB 2 - Thursday 5th December 2024 - Kathleen Lois Foster & Alessandro Maria Selvitella

Basic statistical methods and visualization. Hypothesis tests, such as t-test, ANOVAs, ANCOVAs, simple linear regression, and multiple linear regression.

Slides

R- code

Data-Driven Dynamical Systems - Workshops

LAB 1 - Tuesday 3rd December 2024 - Alessandro Maria Selvitella

TBA

LAB 2 - Thursday 5th December 2024 - Alessandro Maria Selvitella

TBA

Data Science for the Biological Sciences Workshops

LAB 1 - Tuesday 28th November 2023 - Kathleen Lois Foster & Alessandro Maria Selvitella

Background on how to use R, the use of variables to store information, how to call particular elements of a matrix, how to install and use packages.

LAB 2 - Thursday 30th November 2023 - Kathleen Lois Foster & Alessandro Maria Selvitella

Basic statistical methods and visualization. Hypothesis tests, such as t-test, ANOVAs, ANCOVAs, simple linear regression, and multiple linear regression.

Slides

R- code

Data Science for the Biological Sciences Workshops

LAB 1 - Tuesday 29th November 2022 - Kathleen Lois Foster & Alessandro Maria Selvitella

Background on how to use R, the use of variables to store information, how to call particular elements of a matrix, how to install and use packages.

LAB 2 - Thursday 1st December 2022 - Kathleen Lois Foster & Alessandro Maria Selvitella

Basic statistical methods and visualization. Hypothesis tests, such as t-test, ANOVAs, ANCOVAs, simple linear regression, and multiple linear regression.

Slides

R- code