Probabilistic Neural Circuits

Pedro Zuidberg Dos Martires
3/10/2024
cs.LGcs.AIcs.NE

No official code found. Best implementation: pedrozudo/ProbabilisticNeuralCircuits (6 stars, Apache-2.0, last commit 2024-04-22).

Abstract

Probabilistic circuits (PCs) have gained prominence in recent years as a versatile framework for discussing probabilistic models that support tractable queries and are yet expressive enough to model complex probability distributions. Nevertheless, tractability comes at a cost: PCs are less expressive than neural networks. In this paper we introduce probabilistic neural circuits (PNCs), which strike a balance between PCs and neural nets in terms of tractability and expressive power. Theoretically, we show that PNCs can be interpreted as deep mixtures of Bayesian networks. Experimentally, we demonstrate that PNCs constitute powerful function approximators.

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Apache-2.0
60PythonDec 14, 20232 years agoApache-2.0

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Cite this paper

@article{martires2024probabilistic,
  title  = {Probabilistic Neural Circuits},
  author = {Pedro Zuidberg Dos Martires},
  year   = {2024},
  eprint = {2403.06235},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2403.06235v1}
}

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