HAX606X - Convex optimization

3rd year B.Sc, Montpellier Faculty of Sciences, 2025

Documents

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Contents

1) Unconstrained extrema

  • Notion of convexity
  • Optimality conditions
  • Descent methods
  • Separable functionals
  • Stochastic gradient.

2) Constrained extrema

  • Strong and weak formulation
  • Lagrange multipliers and implementation with Newton’s method
  • KKT conditions, duality, Uzawa
  • Linear programming.

3) Introduction to mathematical learning

4) Some application domains