2 problems

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All-signal AMP convergence conjecture for Z2-synchronization
Consider the AMP algorithm for $\mathbb{Z}_2$ -synchronization with signal-to-noise parameter $\lambda>1$ , whose iterates are governed by the stated AMP state evolution. The paper p…
Conjectureopenapproximate-message-passing random-matrices z2-synchronizationarXiv posted 2 days ago
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Global minimizer conjecture for the TAP energy in Z2-synchronization
Let $\lambda>1$ , and let $\bar{E}_\lambda(q,\varphi,h)$ be the TAP energy obtained from $E_\lambda(q,\varphi,h;\gamma,\tau,\nu)$ by optimizing over $(\gamma,\tau,\nu)$ . The paramet…
Conjectureopenoptimization spin-glasses z2-synchronizationarXiv posted 2 days ago

All-signal AMP convergence conjecture for Z2-synchronization