SupplementaryMaterialsFor: " DomainAdaptation with InvariantRepresentationLearning: What TransformationstoLearn? "

Furthermore, letφ: X Z be an encoder s.t. Then, there is no functionφ s.t. Let there be a subset in the invariant spaceB Z, and suppose that we have marginal invariance inthelatent space:PS(φ(X) B) = PT(φ(X) B), B. Define thepre-image ofB as: A={a X:φ(a) B}. Let A X be a region s.t. We followed the procedure in [2], and used a mixture kernel function ofq RBF kernels: κ(z1,z2) = Pq i=1ηiexp{ ||z1 z2||2}/σ2i, where σ2i is the kernel width of the i-th kernel, and ηi is a mixing weight which we set to1/q.