Learning and implementation of digital methods used in financial engineering: classical and robust optimisation, systems of equations, numerical integration, approximate dynamic programming, reinforcement learning.
Although some theory is useful and necessary, including formal proofs, the emphasis is on problem solving and practical applications in finance, through either actual computer programming or the enlightened use of software. This material covered in this course spans from foundations (classical optimisation, solution of equation systems) to modern techniques (robust and conical optimisation, machine and reinforcement learning).
Systems of equations
Classical optimisation
Numerical integration
Robust optimisation
Conic optimisation
Approximate dynamic programming
Reinforcement learning
Stochastic gradient