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English(EN) On the Complexity of the Compatibility Problem for Succinctly Encoded Conditional Distributions

新研究探讨简洁条件分布兼容性问题的复杂度

本文探讨了当条件概率分布以简洁形式(例如通过算术电路)表示时,确定其兼容性问题的复杂度。研究表明,对于这些简洁表示,兼容性问题变得难以处理。具体来说,当所有概率均非零时,该问题是co-NP完全的;当概率可以为零时,该问题的几个版本是PSPACE完全的。研究结果还表明,可能存在兼容的简洁条件,但它们的联合分布无法简洁地表示,这对高维概率建模和机器学习产生了影响。 AI

影响 这项研究可能会影响高维概率模型(包括神经网络)的设计和兼容性分析方式。

排序理由 该条目是一篇提交到arXiv cs.LG的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新研究探讨简洁条件分布兼容性问题的复杂度

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19 / 100
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该条目是一篇提交到arXiv cs.LG的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Guy Emerson ·

    关于简洁编码条件分布兼容性问题的复杂性

    arXiv:2608.31120v1 Announce Type: new Abstract: The motivation for this paper is the investigation of the trade-offs implicit in probabilistic models used in machine learning. Models are often used to make predictions in the form of conditional probabilities. However, a pair of c…