Statistical learning and neural networks
-
Teaching
Details
Faculty Faculty of Science and Medicine Domain Mathematics Code UE-SMA.04413 Languages French , English Type of lesson Lecture
Level Master Semester SA-2021 Schedules and rooms
Summary schedule Monday 13:15 - 15:00, Hebdomadaire
Teaching
Responsibles Teachers Description This course aims at presenting and studying mathematically models from statistical learning theory, by focusing on deep learning algorithms in multi-layer neural networks. Applications to artificial intelligence will be provided. We will also present and study the basic probabilistic and statistical models of machine learning by making links with neural nets. A special emphasis will be given to deep learning processes for Boltzmann machines using methods from probability theory, statistics and statistical mechanics.
Training objectives Topics focus on but are not limited to:
Biological neural networks, mathematical models of neural nets, learning algorithms (Hebb rule) for Hop eld neural nets and Boltzmann machines, machine learning and multivariate statistics (discriminant analysis, regression, support vector machines), general statistical learning theory (deterministic and stochastic models, Vapnik-Cervonenkis theory), learning processes
in associative memories, perceptron and multi-layer neural nets, stochastic processes for deep learning in Boltzmann machines, thermodynamic extension (statistical mechanics of learning processes), self-organisation, chemical reaction networks and machine learning. If time permits we will also consider recent methods from topology and geometry like manifold learning and
topological data analysis.Comments compte pour Mathématiques appliquées
Softskills No Off field No BeNeFri Yes Mobility Yes UniPop No -
Dates and rooms
Date Hour Type of lesson Place 20.09.2021 13:15 - 15:00 Cours PER 07, Room 1.309 27.09.2021 13:15 - 15:00 Cours PER 07, Room 1.309 04.10.2021 13:15 - 15:00 Cours PER 07, Room 1.309 11.10.2021 13:15 - 15:00 Cours PER 02, Room 0.403 18.10.2021 13:15 - 15:00 Cours PER 02, Room 0.403 25.10.2021 13:15 - 15:00 Cours PER 02, Room 0.403 08.11.2021 13:15 - 15:00 Cours PER 02, Room 0.403 22.11.2021 13:15 - 15:00 Cours PER 02, Room 0.403 29.11.2021 13:15 - 15:00 Cours PER 02, Room 0.403 06.12.2021 13:15 - 15:00 Cours PER 02, Room 0.403 13.12.2021 13:15 - 15:00 Cours PER 02, Room 0.403 20.12.2021 13:15 - 15:00 Cours PER 02, Room 0.403 -
Assessments methods
Oral exam - SA-2021, Session d'hiver 2022
Assessments methods By rating -
Assignment
Valid for the following curricula: Additional Courses in Sciences
Version: ens_compl_sciences
Paquet indépendant des branches > Specialized courses in Mathematics (Master level)
Additional programme requirements for PhD studies [PRE-DOC]
Version: 2020_1/v_01
Additional programme requirements for PhD studies (Faculty of Science and Medicine) > Specialized courses in Mathematics (Master level)
MSc in Mathematics [MA] 90
Version: 2020_1/V_01
MSc in Mathematics, lectures and seminars (from AS2020 on) > MSc-MA, lectures (from AS2018 on)
Mathematics [3e cycle]
Version: 2015_1/V_01
Continuing education > Specialized courses in Mathematics (Master level)
Mathematics [POST-DOC]
Version: 2015_1/V_01
Continuing education > Specialized courses in Mathematics (Master level)