Earlier quoted context omitted.
Yes, I realize that. The issue is that the result of any operation is also encrypted, which means that there should be no way to connect the target of the training data (encrypted or not) to the output of a function of encrypted data. Suppose the unencrypted data is (a,b,c) where a+b=c, and (x,y,z)=encrypt((a,b,c)). We have an addition function plus on encrypted data such that decrypt(plus(x,y))=a+b=c=decrypt(z), but…
They could just be normalizing every data point to be between 0 and 1 by dividing by the range. That's a homomorphic encryption.. it passes your weird assumptions. I don't know why you're harping on about sound encryption, the point of this is to keep the statistical information intact in the cipher, without giving away the underlying market data.
[0] https://en.wikipedia.org/wiki/Computational_indistinguishabi... [1] https://en.wikipedia.org/wiki/Ciphertext_indistinguishabilit... [2] http://cs.au.dk/~stm/local-cache/gentry-thesis.pdf [3] https://arxiv.org/ftp/arxiv/papers/1305/1305.5886.pdf