使用英特尔 MKL 的 3D 卷积 [英] 3D Convolution using Intel MKL

问题描述

我正在尝试使用英特尔 MKL 计算 3D 阵列的 3D 卷积.有人可以给我一些提示，我该怎么做?是否可以使用 MKL 实现?提前致谢.

I am trying to compute 3D convolution of a 3D array using Intel MKL. Could someone kindly give me some hints how I can do that? Is it achievable using MKL? Thanks in advance.

推荐答案

Intel 有 一个例子在他们的 3D FFT 页面上，这应该有助于在频率空间中通过乘法进行卷积.抱歉，我没有完整的解决方案:

Intel has an example on their page of a 3D FFT, which should be helpful for performing convolution by multiplication in frequency space. Sorry I don't have a full solution:

三维实数FFT(C接口)

#include "mkl_dfti.h"
float x[32][100][19];
float _Complex y[32][100][10]; /* 10 = 19/2 + 1 */
DFTI_DESCRIPTOR_HANDLE my_desc_handle;
MKL_LONG status, l[3];
MKL_LONG strides_out[4];

//...put input data into x[j][k][s] 0<=j<=31, 0<=k<=99, 0<=s<=18
l[0] = 32; l[1] = 100; l[2] = 19;

strides_out[0] = 0; strides_out[1] = 1000;
strides_out[2] = 10; strides_out[3] = 1;

status = DftiCreateDescriptor( &my_desc_handle, DFTI_SINGLE,
DFTI_REAL, 3, l );
status = DftiSetValue(my_desc_handle,
DFTI_CONJUGATE_EVEN_STORAGE, DFTI_COMPLEX_COMPLEX);
status = DftiSetValue( my_desc_handle, DFTI_PLACEMENT, DFTI_NOT_INPLACE );
status = DftiSetValue(my_desc_handle,
DFTI_OUTPUT_STRIDES, strides_out);

status = DftiCommitDescriptor(my_desc_handle);
status = DftiComputeForward(my_desc_handle, x, y);
status = DftiFreeDescriptor(&my_desc_handle);
/* result is the complex value z(j,k,s) 0<=j<=31; 0<=k<=99, 0<=s<=9
and is stored in complex matrix y in CCE format. */

接下来的步骤是对填充内核执行相同的变换、两个复数数组的逐点乘法和逆 FFT.

The next steps would be do perform the same transform for a padded kernel, point-wise multiplication of the two complex arrays, and inverse FFT.

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