I don’t think this works (or at least I don’t understand how). What space are you even mapping here (I think your xi are samples, so {0,1}N to itself?) and what’s the operation on those spaces, and how does that imply the kind of symmetry from the OP?
I don’t think this works (or at least I don’t understand how). What space are you even mapping here (I think your xi are samples, so {0,1}N to itself?) and what’s the operation on those spaces, and how does that imply the kind of symmetry from the OP?