Statistical learning and neural networks

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03413
    Languages French , English
    Type of lesson Lecture
    Level Bachelor
    Semester SA-2021

    Schedules and rooms

    Summary schedule Monday 13:15 - 15:00, Hebdomadaire
    Hours per week 2

    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), 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)

    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

    Oral exam - SP-2022, Session d'été 2022

    Assessments methods By rating
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2018_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2020_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Mathematics [MA]
    Version: 2020_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)

    Additional TDHSE programme in Mathematics
    Version: 2020_1/V_01
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics 60 > Additional TDHSE programme for Mathematics 60 (from AS2018 on)

    Mathematics 120
    Version: 2020_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 on)

    Mathematics +30 [MA] 30
    Version: 2020_1/V_01
    Minor in Mathematics +30 (MATH+30 for 90 ECTS) > Mathematics +30, Module C (from AS2020 on)

    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)

    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)

    Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
    Version: 2020_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)