English(EN) DisCo Algebra: Why Disintegration and Combination Are Not Inverses

DisCo Algebra论文探讨概率分解的极限

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-19 04:00

一篇新论文引入了DisCo代数，一个联合概率的组合框架，它利用分块联合累积分布函数（CDFs）进行数据压缩和重构。该框架表明，虽然组合后进行分解对于可接受的输入是恒等操作，但反向过程定义了一个重整化算子。与该算子相关的信息损失由概率曲率量化，它衡量了实现无损分解的难度，并突出了使用基于CDF的标量摘要捕获跨块依赖性的局限性。 AI

影响引入了一个新颖的概率数学框架，可能影响需要复杂概率建模的未来AI研究领域。

排序理由关于新颖概率数学框架的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。我们如何撰写摘要 →

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报道来源 [1]

arXiv cs.LG TIER_1 English(EN) · Xuexing Lu · 2026-10-19 04:00

DisCo Algebra：为何分解与组合并非互逆

arXiv:2610.15006v2 Announce Type: replace-cross Abstract: We present DisCo algebra---a compositional framework for joint probability built from a symmetric cooperad (disintegration) and a non-unital partial symmetric operad (combination restricted to the image of disintegration) …

本文如何被排名

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DisCo Algebra：为何分解与组合并非互逆

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