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dzieciou
dzieciou
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I have a set of objects. I have calculated two distance matrices: X$X$ defining distance between each pair objects pair using metric f1$f1$, and Y $Y$ -- using metirc f2metric $f2$. Now, I would like to understand if two objects are similar according to metric f1$f1$, then they are also similar according to metric f2$f2$. How can I do it?

For instance, f1$f1$ could say whether two objects have similar color, and f2 $f2$ --- whether two objects have similar size. But metrics can be anything. For instance, we could talk about articles, f1$f1$ could be Jaccard distance measuring onehow many tags both articles share, and f2$f2$ could be euclidian distance measuring distance between word vectors of two articles. Now I would like to understand if two objects of blueish objects tend to be big, or whether articles tagged with "racism" have similar content.

Am I asking about correlation? How can I calculate it between X$X$ and Y$Y$?

I have a set of objects. I have calculated two distance matrices: X defining distance between each pair objects using metric f1, and Y -- using metirc f2. Now, I would like to understand if two objects are similar according to metric f1, are also similar according to metric f2. How can I do it?

For instance, f1 could say whether two objects have similar color, and f2 --- whether two objects have similar size. But metrics can be anything. For instance, we could talk about articles, f1 could be Jaccard distance measuring one many tags both articles share, and f2 could euclidian distance measuring distance between word vectors of two articles. Now I would like to understand if two objects of blueish objects tend to be big, or whether articles tagged with "racism" have similar content.

Am I asking about correlation? How can I calculate it between X and Y?

I have a set of objects. I have calculated two distance matrices: $X$ defining distance between each objects pair using metric $f1$, and $Y$ -- using metric $f2$. Now, I would like to understand if two objects are similar according to metric $f1$, then they are also similar according to metric $f2$. How can I do it?

For instance, $f1$ could say whether two objects have similar color, and $f2$ --- whether two objects have similar size. But metrics can be anything. For instance, we could talk about articles, $f1$ could be Jaccard distance measuring how many tags both articles share, and $f2$ could be euclidian distance measuring distance between word vectors of two articles. Now I would like to understand if two objects of blueish objects tend to be big, or whether articles tagged with "racism" have similar content.

Am I asking about correlation? How can I calculate it between $X$ and $Y$?

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dzieciou
dzieciou
  • 687
  • 1
  • 6
  • 16

Is this correlation between distance matrices?

I have a set of objects. I have calculated two distance matrices: X defining distance between each pair objects using metric f1, and Y -- using metirc f2. Now, I would like to understand if two objects are similar according to metric f1, are also similar according to metric f2. How can I do it?

For instance, f1 could say whether two objects have similar color, and f2 --- whether two objects have similar size. But metrics can be anything. For instance, we could talk about articles, f1 could be Jaccard distance measuring one many tags both articles share, and f2 could euclidian distance measuring distance between word vectors of two articles. Now I would like to understand if two objects of blueish objects tend to be big, or whether articles tagged with "racism" have similar content.

Am I asking about correlation? How can I calculate it between X and Y?