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Multinomial Polya node #445

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Multinomial Polya node #445

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Description

This PR implements the Multinomial-Polya node using Polya-Gamma augmentation for inference. The implementation includes:

  • Polya-Gamma augmented inference for the multinomial likelihood
  • Logistic stick-breaking transformation for probability simplex parameterization
  • Support for both analytical expectations and Monte Carlo sampling for omega parameters
  • Efficient computation of natural parameters for the likelihood

@bvdmitri bvdmitri requested a review from Nimrais February 3, 2025 09:22
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@ismailsenoz