Probabilistic circuits have an output bottleneck with convex probability combinations and a context bottleneck limited to fixed vtree-aligned partitions, making them less expressive than transformers for language data with heterogeneous dependencies, though decomposable PCs are strictly more capable
Scaling up probabilistic circuits by latent variable distillation.arXiv preprint arXiv:2210.04398, 2022
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The Expressivity Boundary of Probabilistic Circuits: A Comparison with Large Language Models
Probabilistic circuits have an output bottleneck with convex probability combinations and a context bottleneck limited to fixed vtree-aligned partitions, making them less expressive than transformers for language data with heterogeneous dependencies, though decomposable PCs are strictly more capable