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Mixture Density Network with TensorFlow (R API)

Intro


Implementation of Chris Bishop's Mixture Density Networks based on an inspiring blog post and RStudio's recently released TensorFlow API.

Results (Preliminary)

Using a relatively simple test case, estimating x = 7sin(3y/4) + y/2 (with Gaussian noise), TensorFlow successfully converges and fits the model. An example of sample (B=1000) drawn from the predicted distribution of y given a random test sample is shown: Prediction

TODO

  • Employ magrittr %>% paradigm to make construction of TensorFlow model easier to read
  • Move code for constructing TensorFlow model into functions
  • Create a Jupyter notebook with illustrative code
  • Find a more interesting example!
  • Explore extensions of model
  • Higher-dimension covariates
  • More complex neural architecture
  • Multivariate Gaussian (non-diagonal covariance)

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Experimenting with Mixture Density Network implemented in RStudio's TensorFlow API

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