CoDaDri2

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This is the official page for the year 2022-2023 of the Computational and Data-Driven Physics (CoDaDri) course.

Breaking news

Example of theory exercises of past years for the January final examination:

  • [1] Example 1: hypothesis testing
  • [2] Example 2: distribution of log-likelihoods


Course description

Modern physics is characterized by an increasing complexity of systems under investigation, in domains as diverse as condensed matter, astrophysics, biophysics, etc. Establishing adequate models to describe these systems and being able to make quantitative predictions from those models is extremely challenging. The goal of the course is to provide the tools and concepts necessary to tackle those systems.

We will first cover many algorithms used in many-body problems and complex systems, with special emphasis on Monte Carlo methods, molecular dynamics, and optimization in complex landscapes.

Second, we will provide statistical inference and machine learning tools to harness the growing availability of experimental data to design accurate models of the underlying, complex, strongly non-homogeneous and interacting systems.

Each theoretical lecture will be followed by a tutorial illustrating the concepts with practical applications borrowed from various domains of physics. We will focus on methods and algorithms and physics, not on programming and heavy numerics! You will have to hand in 3 homeworks.


The Team

Where and When

  • Lectures on Fridays: 14:00-16:00
  • Tutorials on Fridays: 16:00-18:00
  • JUSSIEU salle 24.34.201.

Don't be scared by the long number: it means that our new room is located in the corridor on the second floor, between tower 24 and tower 34 of Jussieu campus.

Slack

If you have questions or want to discuss topics related to the lecture, to the exercises or to the homeworks, you can use the Computational and Data Driven Physics Slack. In order to join the Slack use the following invitation link.

Computer Requirements

No previous experience in programming is required.

Programming Language: Python

For practical installation, we recommand either to use Anaconda (See Memento Python) or use google colab.
The Colab platform from Google is quite good way to use powerful computer without buying one: It requires no specific hardware or software, and even allows you to use GPU computing for free, all by writting a jupyter notebook that you can then share.

Grading

Computational Physics:

  • Homework 1: 5 points
  • Homework 2: 5 points
  • Multiple Choice Questions: 10 points

Data Driven Physics:

  • Homework 3: 5 points
  • Final exam in January: 15 points

Schedule Computational Physics

Friday, September 2, 2022


Friday, September 9, 2022


Friday, September 16, 2022


Friday, September 23, 2022

  • Send your copy of Homework 1 to numphys.icfp at gmail.com Thanks!


Friday, September 30, 2022


Friday, October 7, 2022

  • Test: Multiple Choice Questions. For each question you have 4 choices: 3 wrong and 1 correct: If you check the correct one you get a point. If you are wrong you loose 1/4 of a point. No answer given: zero points.
  • Solutions: You can find them here. The correct answers are marked in bold.

Schedule Data-driven Physics

Book on "From Statistical Physics to Data-Driven Modelling" by S. Cocco, R. Monasson, F. Zamponi File


Friday, October 14, 2022

  • Tutorial 7: Bayesian inference and single-particle tracking. Questions.

Google Colab Starting Notebook.Google Collab Solutions.Solutions.


Friday, October 21, 2022

  • Lecture 8: Asymptotic inference and information. Extra material: Proof of Cramer-Rao bound [3]
  • Send your copy of Homework 2 to numphys.icfp at gmail.com Thanks!


Friday, October 28, 2022

  • Lecture 9: High-dimensional inference and Principal Component Analysis. Extra material: Handwritten notes on the derivation of Marcenko-Pastur spectral density [4]
  • Tutorial 9: Replay of the neuronal activity during sleep after a task Questions. Biblio.

Starting Notebook on Google Colab. Tutorial Solution on Google Colab.

Homework 3 Starting Notebook on Google Colab. (Send your copy of Homework 3 to numphys.icfp at gmail.com by December 1). Homework 3 Solutions on Google Colab. Solution comments

Friday, November 25, 2022

  • Lecture 10: Priors, regularisation, sparsity
  • Tutorial 10:

Bayesian Inference and Priors for the analysis of gravitational waves (Notes). Biblio Starting notebook on artificial data. Notebook on real data Solutions (Artificial data)


Friday, December 2, 2022

  • Lecture 11: Hidden Markov Models. Extra material: Pedagogical introduction to Kalman filters [5]
  • Tutorial 11: Hidden Markov Models. Questions Starting notebook

Solutions


Friday, December 9, 2021

  • Lecture 12: Probabilistic graphical models



Friday, December 16, 2022

Tutorial 13: Inferring structural contacts from protein sequences Notes Start Notebook Solutions

Friday, January 06, 2023

EXAM.

Theoretical exercises Practical notebook (Google Colab version) Practical notebook & data (Local notebook version)

For the WiFi:

   - Sélectionner "WIFI-GUEST"
   - Mot de passe : PhysiqueENS
   - Ouverture automatique d'une page web dans le navigateur (par défaut),
   - Saisir le "Super secret password" : exam.m2.icfp@phys.ens.fr (Ce n'est pas une vraie adresse)