Traffic distributions of certain deterministic matrices determine the limiting dynamics of general first-order methods, and a new unified approximate message passing algorithm is introduced whose state remains conditionally Gaussian for a broad class of input matrices.
Related planarity phenomena also appear in mathematics, for example in the connections between large random matrices and non-crossing pairings
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Universality of first-order methods on random and deterministic matrices
Traffic distributions of certain deterministic matrices determine the limiting dynamics of general first-order methods, and a new unified approximate message passing algorithm is introduced whose state remains conditionally Gaussian for a broad class of input matrices.