Introduction to Machine Learning (2022 - 2023)


MANDATORY INSCRIPTION


Summary

Statistical machine learning is a growing discipline at the intersection of computer science and applied mathematics (probability / statistics, optimization, etc.) and which increasingly plays an important role in technological innovation.

Unlike a course on traditional statistics, statistical machine learning is particularly focused on the analysis of data in high dimension, as well as the efficiency of algorithms to process the large amount of data encountered in multiple application areas such as image or sound analysis, natural language processing, bioinformatics or finance.

The objective of this class is to present the main theories and algorithms in statistical machine learning. The methods covered will rely amongst others on convex analysis arguments. The practical sessions (more than half of which will be realized with computers) will lead to simple implementations of the algorithms seen in class and with applications to various domains such as computer vision or natural language processing.

Prerequisite: probability theory (notion of random variables, convergence of random variables, conditional expectation), coding skills in python.



General information

This class is part of the Computer science courses taught at ENS in L3 in Spring 2023.

Teachers: Alessandro Rudi and Umut Simsekli.
Practical sessions: Bertille Follain.

The class will last 52 hours (30 hours of class + 22 hours of practical sessions) and can be validated for 9 ECTS.
Final grade: approximately 50% final exam, 50% homework.

Previous years: Spring 2022, Spring 2021, Spring 2020, Spring 2019, Fall 2018, 2017, 2016, 2015, 2014, 2013, 2012


Schedule and lecture notes

Thursday mornings from 8h30 to 12h15, room Emmy Noether. Typical session will be a lecture from 8h30 to 10h20, followed by a 20min break and the practical work (PW) from 10h40 to 12h15. Lecture notes and solutions to practical work and exercises will be updated here on the fly.


# Date Teacher Title
1 09/02/2023 U. Simsekli Introduction
2 16/02/2023 Alessandro Rudi
Bertille Follain
Supervised learning and linear regression
TD1 (Data: classificationA_train, classificationA_test, classificationB_train, classificationB_test, classificationC_train, classificationC_test, mnist_digits.mat, solution, NEW: all in one zip: ALL)
3 23/02/2023 Alessandro Rudi
Bertille Follain
Logistic regression and convex analysis
TD3,

03/03/2023
No Class
4 09/03/2023 Alessandro Rudi
Bertille Follain
Convex optimization
TD4, TD4-english-version, solution to theoretical questions, solution to practical questions
5 16/03/2023 Alessandro Rudi
Bertille Follain
Kernels
Exercise sheet, solution
6 23/03/2023 Alessandro Rudi
Bertille Follain
Learning with Kernels
Numerical tour of Ridge and Lasso by Gabriel Peyre
7 30/03/2023 Alessandro Rudi
Bertille Follain
Elements of Statistical Machine Learning
Numerical tour of logistic classification by Gabriel Peyre , solution and slight nodification , data for first part
8 06/04/2023 Umut Simsekli
Bertille Follain
Model Based ML - Maximum Likelihood
TD on sgd , data , solution to the TD on SGD ,
9 13/04/2023 Umut Simsekli
Bertille Follain
Unsupervised Learning
TD on KNN , Small recap on KNN , data , TD on PCA , solution to the TD on KNN
10 20/04/2023 Umut Simsekli
Bertille Follain
MCMC Sampling, lecture notes
TD on MCMC , Solution to the TD on MCMC

27/04/2023
No Class

04/05/2023
No Class
11 11/05/2023 Umut Simsekli
Bertille Follain
Neural Networks
TD on Neural Networks
12 18/05/2023 No Class

25/05/2022
No Class
13 01/06/2022 Umut Simsekli Exam
8h30 to 12h30, the room H. Cartan. You can bring your notes.