V2EX convolution

Convolution

Definition / 释义

卷积:一种把两个函数(或信号)“叠加并滑动相乘再求和”的运算,用来描述系统对输入的综合响应;在信号处理、概率论与深度学习(卷积神经网络)中非常常见。日常语境中也可指“缠绕、盘绕”(较少见)。

Pronunciation / 发音

/knvlun/

Examples / 例句

Convolution is used to blur an image.
卷积可用于让图像变得模糊。

In signal processing, the output of a linear time-invariant system equals the convolution of the input with the system’s impulse response.
在信号处理中,线性时不变系统的输出等于输入与系统冲激响应的卷积。

Etymology / 词源

来自拉丁语 convolvere,意为“把……卷在一起、缠绕”,由 **con-**(一起)+ volvere(滚动、旋转、卷)。后来在数学与工程中引申为“把两个对象按一定规则卷在一起”的运算概念。

Related Words / 相关词

Literary Works / 文学作品

  • The Art of Computer Programming, Volume 2: Seminumerical Algorithms(Donald E. Knuth)
  • Signals and Systems(Alan V. Oppenheim & Alan S. Willsky)
  • Discrete-Time Signal Processing(Alan V. Oppenheim & Ronald W. Schafer)
  • The Fourier Transform and Its Applications(Ronald N. Bracewell)
  • Deep Learning(Ian Goodfellow, Yoshua Bengio & Aaron Courville)
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