X is a set of high-dimensional vectors that follow an independent and identically distributed (i.i.d) pattern. Is the density of these vectors the same in different directions in high-dimensional space?
2026-03-02 12:05:52.1772453152
Does a randomly initialized high-dimensional vector have truly random values in every direction?
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Sorry, I am just too stupid. This is obvious, as can be inferred from the probability distribution of the normal distribution.