Non-separable AMP admits universal state evolution for non-Gaussian Wigner matrices when its nonlinearities are BCP-representable polynomials or BCP-approximable Lipschitz functions.
Operator-lipschitz estimates for the singular value functional calculus.Proceedings of the American Mathematical Society, 144(5):1867–1875, 2016
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On Universality of Non-Separable Approximate Message Passing Algorithms
Non-separable AMP admits universal state evolution for non-Gaussian Wigner matrices when its nonlinearities are BCP-representable polynomials or BCP-approximable Lipschitz functions.