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Jan 6, 2018 at 7:56 comment added Poiera You are fantastic . So clear. The last questions : how can we mathematically describe that ( in the first case ) "structure of the data is the same" ? ps: i think in the second case,after the normalization the points land in the INTERVAL [-1,1], so there more points than just two.
Jan 6, 2018 at 7:55 vote accept Poiera
Jan 5, 2018 at 23:53 comment added timleathart I've updated my answer to be a lot more visual. Hopefully this makes sense to you!
Jan 5, 2018 at 23:53 history edited timleathart CC BY-SA 3.0
added lots of clarification
Jan 5, 2018 at 8:13 comment added Poiera How can you say that the vectors carry the same information ? They are different :( . ps: also, why do we normalize the features and not the dataset vectors ? ( = why do we normalize the rows of the dataset and not the columns ? )
Jan 5, 2018 at 0:04 history answered timleathart CC BY-SA 3.0