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ResearchSeptember 9, 2026

Deep belief networks are exact

arXiv:2609.05572v1 Announce Type: new Abstract: We prove that every strictly positive probability distribution on \(\{-1,1\}^n\) is represented exactly by a sigmoid belief network with finite parameters. This answers a question of Sutskever and Hinton. The proof upgrades their…

Gleb Smirnov·arXiv — cs.AI
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Key Takeaways
  • 01.arXiv:2609.05572v1 Announce Type: new Abstract: We prove that every strictly positive probability distribution on \(\{-1,1\}^n\) is represented exactly by a sigmoid belief network with finite parameters
  • 02.This answers a question of Sutskever and Hinton
  • 03.The proof upgrades their…

This material is provided as an extended analytical summary.

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