The de-biasing coefficients of rotationally-invariant AMP are uniquely determined by a trace-free condition, and equal a polynomial in the divergence matrix with free-cumulant coefficients; two new AMP variants follow from the same template.
The LASSO risk for gaussian matrices
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Unifying AMP Algorithms for Rotationally-Invariant Models
The de-biasing coefficients of rotationally-invariant AMP are uniquely determined by a trace-free condition, and equal a polynomial in the divergence matrix with free-cumulant coefficients; two new AMP variants follow from the same template.