4 ms·

No? If the samples are randomly chosen then you'd expect the cosign similarity to be low, but there's no such assumption here, in fact it's the exact opposite.

• trott 5y ago
  "Independence" is defined for random variables, so "randomness" is implied. However, this approximate orthogonality property depends on the distribution. It holds for the normal distribution and many others, although not in general.
  • trott 5y ago
    I meant "zero-mean normal distribution".