Non-separable AMP admits universal state evolution for non-Gaussian Wigner matrices when its nonlinearities are BCP-representable polynomials or BCP-approximable Lipschitz functions.
Unsourced random access with coded compressed sensing: Integrating amp and belief propagation.IEEE Transactions on Information Theory, 68(4):2384–2409, 2021
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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.