I want to calculate a vector , with each element defined as follows , where is the set of dimensional vector, and is also the set of dimensional vector, is a constant. The superscript is denoted as the transpose operation. In my matlab code, is stored as a three dimensional matrix , its dimension is (where ). is also stored as a three dimensional matrix , its dimension is (where ). is a scalar. I know i can use multiple for loop to calculate this vector , but it is too inefficient. Is there any some fast way to calculate it, maybe use three-dimensional matrix calculation method?

Calculation with three dimensional matrices

8 次查看（过去 30 天）

显示更早的评论

Hancheng Zhu 2025-1-18

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2173043-calculation-with-three-dimensional-matrices

评论： Hancheng Zhu 2025-1-22

采纳的回答：埃博拉酱

I want to calculate a vector

, with each element

defined as follows

, where

is the set of N dimensional vector, and

is also the set of N dimensional vector, c is a constant. The superscript T is denoted as the transpose operation.

In my matlab code,

is stored as a three dimensional matrix G, its dimension is

(where

is also stored as a three dimensional matrix W, its dimension is

(where

). c is a scalar.

I know i can use multiple for loop to calculate this vector Y, but it is too inefficient. Is there any some fast way to calculate it, maybe use three-dimensional matrix calculation method?

9 个评论
显示 7更早的评论隐藏 7更早的评论

Torsten 2025-1-21

I've made the opposite experience.

Imagine you have code for the computation of Y_i. I would be really surprised if it were easier to read than the mathematical formula from above.

Paul 2025-1-21

@Hancheng Zhu

Perhaps you should post the code that you have along with sample input data.

请先登录，再进行评论。

请先登录，再回答此问题。

采纳的回答

埃博拉酱 2025-1-22

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2173043-calculation-with-three-dimensional-matrices#answer_1557868

在 MATLAB Online 中打开

If your formula expresses what @Torsten understands, I'll code like this:

function Y=cGW_Y(c,G,W)
Y=permute(pagemtimes(permute(G,[2,3,1]),permute(W,[3,2,1])),[4,3,2,1]);%1×K×I×J
Y=pagemtimes(Y,'none',Y,'ctranspose');%1×1×I×J
Y=log2(sum(Y./(sum(Y,3)+c*c-Y),4)+1);%1×1×I
end

1 个评论
显示 -1更早的评论隐藏 -1更早的评论

Hancheng Zhu 2025-1-22

yes, this is correct.

请先登录，再进行评论。

类别

MATLAB Language Fundamentals Matrices and Arrays Matrix Indexing

在 Help Center 和 File Exchange 中查找有关 Matrix Indexing 的更多信息

产品

MATLAB

版本

R2024b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by