Hierarchical spin-glasses are Ising spin models defined by recursively coupling together two equally-sized sub-systems. In this work a new hierarchical system is introduced wherein the sub-systems coupled through parity of their spins. Exact Renormalization Group recursion equations for many correlators may be derived Parity Model, even completely general couplings. Moreover, model computationa...

We consider the context of “stochastic recursions,” that is, recursions that involve quantities needing to be estimated using a stochastic simulation. Examples include certain stochastic adaptations of fixed-point recursions, line search recursions, and trust-region recursions obtained by replacing function and derivative values appearing within the recursion by their Monte Carlo counterparts. ...

Abstract. We consider the context of “simulation-based recursions,” that is, recursions that involve quantities needing to be estimated using a stochastic simulation. Examples include stochastic adaptations of fixed-point and gradient descent recursions obtained by replacing function and derivative values appearing within the recursion by their Monte Carlo counterparts. The primary motivating s...