Teaching


Nonlinear Programming
Slides: Optimality conditions, Algorithms for unconstrained optimization, Algorithms for constrained optimization


A minicourse on Stochastic Programming - CMA (2019)

  1. Definitions and Examples,
  2. Sample Average Approximation (SAA),  
  3. Two-Stage Stochastic Linear Programming (2SLP),
  4. L-Shaped Method, Gap estimation, 
  5. Multistage Stochastic Programming
  6. Chance Constrained Problems (slides by prof. René Henrion)
  7. Project: Power Generation Planning under Uncertainty

Problem's data: 2SLP  Deterministic Equivalent  2SLP (new data problem)

Basic Course on Stochastic Programming - IMPA (2016) 

Below only lectures on multistage stochastic programming and Bundle methods applied to stochastic programming. 
Visite the course webpage for the full course and slides.
 

Multistage stochatic programming: Example and main definitions

 

Multistage stochatic programming: Optimality conditions

 

Multistage stochatic programming: The linear case

 

Multistage stochastic linear programming: Block separable recourse

 

Multistage stochastic programming: Dealing with nonantecipativity constraints

 

Multistage stochastic programming: Multiplier method

 

Multistage stochastic linear programming: Stochastic dual dynamic programming

 

Bundle methods for stochastic programs: Proximal bundle method

 

Bundle methods for stochastic programs: Level bundle method

 

Oracles with on-demand accuracy for two-stage programming problems

  


Cálculo Numérico - UERJ


Mestrado Profissional em Métodos Matemáticos em Finanças - IMPA 

Otimização I


Doutorado - IMPA 
Métodos computacionais de otimização (2013)

Minicurso - UFPR 
Tomada de decisão sob incerteza. Uma abordagem do ponto de vista da otimização

Minicurso - FGV EMAp
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