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UE Numerical optimisation

  • Level

    Baccalaureate +4

  • ECTS

    6 credits

  • Component

    UFR IM2AG (informatique, mathématiques et mathématiques appliquées)

  • Semester

    Printemps

Description

This program combines case studies coming from real life problems or models and lectures providing the mathematical and numerical backgrounds.

Contents:

  • Introduction, classification, examples.
  • Theoretical results: convexity and compacity, optimality conditions, KT theorem
  • Algorithmic for unconstrained optimisation (descent, line search, (quasi) Newton)
  • Algorithms for non differentiable problems
  • Algorithms for constrained optimisation: penalisatio, SQP methods
  • Applications
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Course parts

  • CM/TDLectures (CM) & Teaching Unit (UE)33h
  • TPPractical work (TP)16,5h

Recommended prerequisites

linear algebra, differential calculus

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Period

Semester 8

Évaluation initiale / Session principale - Épreuves

LibelléNature de l'enseignementType d'évaluationNature de l'épreuveDurée (en minutes)Nombre d'épreuvesCoefficient de l'épreuveRemarques
Teaching Unit (UE)CC100/100Ecrit et/ou TP
Teaching Unit (UE)CTWritten - supervised work120100/100

Seconde chance / Session de rattrapage - Épreuves

LibelléNature de l'enseignementType d'évaluationNature de l'épreuveDurée (en minutes)Nombre d'épreuvesCoefficient de l'épreuveRemarques
Teaching Unit (UE)CCCalculation report100/100
Teaching Unit (UE)CTWritten or Oral120100/100

Skills

Recognise and classify optimisation problems

Solve optimisation problems using adequate algorithms and methods

Practical implementation

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