5 problems

Asymptotic exactness conjecture. The prediction obtained from the expectation-propagation analysis is exact in this asymptotic regime.

Ma–Takeda fixed-point conjecture. The FPs of the SE equations are the same as those of the asymptotic energy function.

Let an effective solution be a solution of the approximation framework described above, and let the dimensions of the associated matrices grow sufficiently large. Large-dimensional…

EP approximates each site $f_i(x)$ by a Gaussian site-approximation $q_i(x\mid r_i,\beta_i)$, iteratively updating the sites until reaching a fixed point; the resulting Gaussian ap…

A linear system with a triangular-shaped matrix is considered in the expectation propagation algorithm setting described above. Finite-step convergence conjecture. The convergence…