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

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Hancheng Zhu 2025-1-18

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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?

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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.

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采纳的回答

埃博拉酱 2025-1-22

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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

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Hancheng Zhu 2025-1-22

yes, this is correct.

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MATLAB Language Fundamentals Matrices and Arrays Matrix Indexing

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