14-08-2023, 01:45 AM
(09-08-2023, 10:27 PM)Torsten wrote: You are not allowed to view links. Register or Login to view.Two vectors always define a plane, regardless of dimensionality, which, coarsely speaking, "focuses" the statistics;
This is not the point, and it is not even correct.
If you have many more dimensions than vectors, then every new vector will always add a new dimension, and this is precisely where the "curse of dimensionality" sets in.
Two vectors do not define a plane if they are co-linear and this is the most extreme case where you have more vectors than dimensions. All vectors could be along a single line and set up a one-dimensional space. This is not usually what one has in mind when talking about clusters, but the principle remains the same.
I am sure that there is a large group of people who have not yet made up their mind whether the text is meaningful or not. I certainly haven't.
What I do have a stronger opinion about is that it hasn't been demonstrated either way.
Saying that I don't accept the proof that the text is meaningless, does not imply that I won't accept that the text could be meaningless.
Finally, yes, I have seen statistical evidence for text properties in between A and B, but these are text properties, not handwriting properties and we don't yet know that the two can be safely linked to each other.


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