How to increase the number of data in 70x6 matrix?

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Abdulaziz Abutunis
Abdulaziz Abutunis 2021-10-6
评论： Abdulaziz Abutunis 2021-10-13
Dear All,
I wonder if MATLAB has a tool allows for increasing the number of data in 70x6 matrix while maintinaing the same relations. Some thing like intrapolation but for several arrays instade of one.
Thanks
Aziz
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John D'Errico
John D'Errico 2021-10-6
编辑：John D'Errico 2021-10-6
Um, what does a 70x6 matrix mean? What are the two dimensions of that matrix? Do you have 70 data points that essentially live scattered in a 6 dimensional spade? Or do you have a 70x6 array, that one can imagine as a 2-dimensional surface, thus z(x,y)? I suppose you might even have only 6 data points, each of which lives in a 70 dimensional space. The last case would be hopeless to solve of course.
The difference is highly significant, and would require different solutions for each case.
Abdulaziz Abutunis
Abdulaziz Abutunis 2021-10-7
编辑：Walter Roberson 2021-10-7
As I stated earlier they are 5 independent variables and one dependent variable. So it is 5D not 2D. The 70 are the leverls of these variables, but repeated sometimes
Below is an example of 54 data inputs
Thanks
5 24 1 11 400
5 24 1 11 800
5 24 1 11 1200
5 66 2 14 400
5 66 2 14 800
5 66 2 14 1200
5 129 3 17 400
5 129 3 17 800
5 129 3 17 1200
8 24 2 17 400
8 24 2 17 800
8 24 2 17 1200
8 66 3 11 400
8 66 3 11 800
8 66 3 11 1200
8 129 1 14 400
8 129 1 14 800
8 129 1 14 1200
6 24 3 14 400
6 24 3 14 800
6 24 3 14 1200
6 66 1 17 400
6 66 1 17 800
6 66 1 17 1200
6 129 2 11 400
6 129 2 11 800
6 129 2 11 1200
5 24 1 11 400
5 24 1 11 800
5 24 1 11 1200
5 66 2 14 400
5 66 2 14 800
5 66 2 14 1200
5 129 3 17 400
5 129 3 17 800
5 129 3 17 1200
8 24 2 17 400
8 24 2 17 800
8 24 2 17 1200
8 66 3 11 400
8 66 3 11 800
8 66 3 11 1200
8 129 1 14 400
8 129 1 14 800
8 129 1 14 1200
10 24 3 14 400
10 24 3 14 800
10 24 3 14 1200
10 66 1 17 400
10 66 1 17 800
10 66 1 17 1200
10 129 2 11 400
10 129 2 11 800
10 129 2 11 1200

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Walter Roberson
Walter Roberson 2021-10-7
Ah, my earlier replies were based upon the idea that the data is 2D.
If you had one fewer independent variables then you could use scatteredInterpolant, but you cannot do that with 4 independent variables.
You can compute the voronoi diagram; https://www.mathworks.com/help/matlab/ref/voronoin.html but it is not immediately clear what you would do with the result.
It might be easiest to do a KNN (K-Nearest Neighbours) classification and use predict() at the points you want to fill in; https://www.mathworks.com/help/stats/fitcknn.html and https://www.mathworks.com/help/stats/fitcknn.html
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Walter Roberson
Walter Roberson 2021-10-13
You cannot meaningfully train on predicted or interpolated data for most purposes.
... Except for the case for where the reason you are training is to find a replacement algorithm for the prediction or interpolation, having already verified by some other means that the prediction or interpretation does a good job, but perhaps looking for a replacement algorithm that can be executed faster (such as on GPU)

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