Tutorial - Denoising

You can also download this tutorial as a Jupyter Notebook

• Denoising and regularization: rgz and cdf modules
  • The algorithm: a minimal but representative formulation
  • Manual execution of the basic algorithm
    • Problem statement
    • Objective
    • Modeling the problem
    • The algorithm step by step
    • Generalizing the algorithm
  • How the algorithm is implemented in practice
    • Exploring auxiliary functions
      • Auxiliary functions
    • Encapsulating fine-tuning and algorithmic variants
      • Interaction between workflow and variant logic
    • Abstract class LayerRegularizer
      • Constructor
      • Setup method
      • Update
      • Eigendecomposition
      • The weight function
    • Default implementation: StandardLayerRegularizer
      • The alpha_method parameter
      • The cdf module
      • The param and mode parameters
      • The lin_alg_method and the num_eigen parameters
  • Putting everything together: chirps
    • Problem statement
    • Objective
    • Strategy
  • Putting everything together: coding theory
    • Problem statement
    • Objective
    • Strategy
  • Beyond chirps and polynomial phase functions: nilsequences
    • An example involving the Heisenberg nilmanifold
    • Problem statement
    • Objective