5 ms·

I think most of the time when the "if you sample points [at random] from an n-dimensional sphere" line is written/told, "using uniform distribution, where each

I think most of the time when the "if you sample points [at random] from an n-dimensional sphere" line is written/told, "using uniform distribution, where each unit volume has equal chance of being picked" is substituted in the place of "at random", and not normal distribution. I think with normal distribution you are right, and GP is mistaken, but with uniform distribution it isn't just an illusion.

DoctorOetker 8y ago
That's just a d-dimensional cube of uniform density and zero probability outside of this d-dimensional cube, there is no meaningful d-dimensional sphere though... you seem to be referencing the fact that repeatedly convolving uniform distributions approach a gaussian distribution