Stanford Engineering
Advanced Financial Technologies Laboratory

Stochastics, Optimization, and Algorithms

Statistical Methods

  • Regularized principal component analysis
  • Inference for point processes and jump-diffusion
  • Risk measure estimation
  • Affine modeling calibration theory
  • Robust large-dimensional factor modeling State-varying factor models of large dimension
  • High-frequency factor modeling

Monte Carlo Simulation

  • Efficient rare-event algorithms
  • Exact sampling schemes for stochastic differential equations
  • Discretization methods
  • Sampling algorithms for point processes
  • Multi-level methods 

Optimization

  • Stochastic Programming
  • Optimization tools for machine learning
  • Numerical optimization methods
  • Warm starting approaches

High Performance Computing

  • Parallel structures
  • GPU computing
  • Quantum computing