A Short Note on the Sample Complexity of Learning Probabilistic Circuits
Published in Preliminary Result, 2025
Published in Preliminary Result, 2025
Published in NeurIPS, 2025
TLDR: We investigate the hardness of approximating distributions with TPMs. Our main results show the NP-hardness of approximation with a bounded f-divergence for any model which can tractably marginalize, and an exponential lower bound on the size of a deterministic, decomposable probabilisitic circuit representing a distribution exactly encoded by a decomposable probabilistic circuit. We also have a number of results related to bounded f-divergence and approximate inference guarantees.
Published in In the Safe Generative AI Workshop at NeurIPS, 2024