Fakultät für Mathematik und Naturwissenschaften

Time Series and Generating Synthetic Data

Time Series (Analysis and Prediction)

  • Analyzing time series models using (Variational) Autoencoders, Restricted Boltzmann Machines or Generative Adversarial Neural Networks
  • Bayesian Statistics including Gaussian Process Regression incl. Multi-Output GP for Data Augmentation, Filling imputed TS, Data Cleansing or Outlier Detectio
  • Signatures of Stochastic Processes

Model Free Hedging

  • Model free hedging via Reinforcement Learning
  • Calculating conditional expectations by kernel density estimation or Gaussian mean mixtures
  • Hedging strategies based on generated signatures and conditional expectations based on purely data driven and model free methods

Data Cleansing / Anomaly Detection

  • Use the models for combining the results with extreme value theory to anomaly detection
  • Generate synthetic data having “learned” characteristics for:
    • Stress testing
    • Asset allocation
    • Hedging
  • Use the methods for briding gaps in observed time series data

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