Nederlands(NL) Deep belief networks are exact

Sigmoid信念网络被证明可以精确表示概率分布

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-10 04:00

一篇新发表在arXiv上的论文证明，Sigmoid信念网络可以精确表示二元集合上的任何严格正概率分布。这一发现解决了Sutskever和Hinton研究人员提出的一个长期存在的问题。该证明利用了Brouwer不动点定理，将先前的一种近似方法提升为精确表示。 AI

影响这项研究为理解某些神经网络架构的表示能力提供了理论基础。

排序理由发表在arXiv上的学术论文，详细介绍了数学证明。[lever_c_demoted from research: ic=1 ai=1.0]

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本文如何被排名

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arXiv cs.AI TIER_1 Nederlands(NL) · Gleb Smirnov · 2026-09-10 04:00

深度信念网络是精确的

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 pr…