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