而矩阵乘对计算资源消耗较大,除了计算机体系结构的不断更新外,软件优化方面也有大量的研究工作。 本文简要介绍通用矩阵乘(GEMM,General Matrix Multiplication)优化的基本概念和方法、QNNPACK对特定场景的矩阵乘的优化方法、以及用 GEMM 优化神经网络中卷积计算的一点方向。 旨在帮助大家在概念中建立一些直觉,无甚高论。
First, the input feature map and the weight matrix are reconstructed to perform convolution using matrix multiplication. This is similar to GPU which also uses matrix multiplication to implement convolution calculation. However, due to different hardware architecture and design, the Ascend AI processor ...
Convolution of two tensor fields is defined using matrix multiplication. Convolution of a tensor field with a scalar mask can thus be described by multiplying the scalars with the real unit matrix. The Fourier transform of tensor fields defined in this paper corresponds to Fourier transform of ...
From Eq. (1.4), the multiplication of the matrix (XI2CI) with WI2Cb is equivalent to the result of multiplication of (XI2C) and (WI2C) followed by the addition of bI2C. By increasing the dimensions of the matrix, it is possible to perform computations using only matrix multiplications,...
Matrix-multiplication function for convolution with per-channel requantization for 16 bits convolution. This function does the matrix multiplication of weight matrix for all output channels with 2 columns from im2col and produces two elements/output_channel. The outputs are clamped in the range provid...
The 3x3x3 kernel mask do convolution on the 3D matrix. For RxCxD dimensional input, (R-2)x(C-2) dimensional output matrix is created. Matrix x VectororMatrix x Matrixmultiplication can be performed in parallel * NxM x MxK = NxK // matrix x matrix = matrix * 1xM x MxK = 1xK /...
We then use the new relationships to derive forms of the symmetric convolution-multiplication property based on unitary rather than convolutional forms of the transform matrices.关键词: Theoretical or Mathematical/ convolution discrete transforms filtering theory matrix multiplication/ unitary transform ...
Then place this filter in the top left corner of the Transposed Conv matrix. Take the multiplication of the second pixel and filter and put the result in the Transposed Conv matrix with the specified Stride. If there are any values which are overlapping then add those values. Repeat this pro...
In practice, the convolution theorem is used to design filters in the frequency domain. The convolution theorem states that convolution in the time domain is equivalent to multiplication in the frequency domain. The frequency domain can also be used to improve the execution time of convolutions. ...
Well, that's just a quick multiplication:Plan * Patients = Daily Usage [3] * [1 2 3 4 5] = [3 6 9 12 15] Multiplying the plan by the patient list gives the usage for the upcoming days: [3 6 9 12 15]. Everyday multiplication (3 x 4) means using the plan with a single ...