English(EN) A Note on Scaling in Randomly Rotated Quantization and Its Connection to the CDEF +1 Pythagorean Relation

新研究将量化中的随机旋转与经典信号处理联系起来

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

本文探讨了随机旋转量化方案与统计信号处理中的经典结果之间的联系。文章强调，在 EDEN 框架中，重建的缩放可以被解释为 CDEF 公式中 Wiener 和无偏系数的有限维对应物。研究表明，CDEF +1 关系在每个旋转实现中作为有限块长度下的精确几何恒等式逐点成立，但在平均旋转后不成立。文章还指出，EDEN 为每个有限维度提供了精确的条件无偏性，这比 CDEF 中发现的二阶无偏性更强的性质。 AI

影响这项研究有助于信号处理和量化领域的理论理解，可能影响未来的 AI 模型压缩和效率技术。

排序理由该条目是发表在 arXiv 上的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Uri Erez · 2026-09-10 04:00

关于随机旋转量化中缩放的说明及其与 CDEF +1 勾股定理的关系

arXiv:2609.08759v1 Announce Type: cross Abstract: Quantization schemes based on randomized rotations have recently received renewed attention, including the roles of MMSE and unbiased reconstruction scalings. In this note, we point out the connection to classical results in stati…

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关于随机旋转量化中缩放的说明及其与 CDEF +1 勾股定理的关系

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