English(EN) Structure of the Circular-Dyadic Convolution Error

新研究详细介绍了二进卷积计算中的误差结构

作者 PulseAugur 编辑部 · [1 个来源] · 2026-07-20 04:00

研究人员详细介绍了在使用哈达玛变换替代离散傅里叶变换（DFT）进行计算时引入的误差。他们确定了精确误差抵消的特定条件，其中某些输入和输出位置普遍没有误差。该研究还将误差算子表征为近乎满秩且具有对数零空间维度，并发现平均误差由单个对齐标量决定。这种替代误差通常会使输出能量加倍，除非滤波器属于特定的零误差子空间。 AI

影响这项研究提供了对人工智能相关信号处理技术中计算误差的更深入理解，有可能提高某些算法的准确性。

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arXiv cs.AI TIER_1 English(EN) · Ben Fauber, Alireza Moradzadeh · 2026-07-20 04:00

圆-二元卷积误差的结构

arXiv:2607.15293v1 Announce Type: cross Abstract: Dyadic and circular convolution can both be computed in $O(N\log N)$ time using the Hadamard transform and the FFT-computed discrete Fourier transform (DFT), respectively. The Hadamard transform is preferable for its real-valued s…

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圆-二元卷积误差的结构

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