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If ρ n ∗ is of the same speed of convergence as ρ n, i.e., for ρ n ∗ = O ( ρ n ), the thus re-scaled sequence converges again to a diffusion process for which the covariance operator is proportional to (2.18).
In this paper, we propose inverse preconditioners with a band Toeplitz structure, which lower the cost to and in experiments showed the same speed of convergence and reconstruction efficiency as the inverse Toeplitz preconditioner.
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Remark 3.1 The speed of convergence in Theorem 2.1 is the same as for the case of fractional Brownian motion (see Nourdin et al. [11]) and sub-fractional Brownian motion (see Tudor [17]).
Generally, the speed of convergence of BPSO is fast; however, it has high risk of converging to local optimum.
Speed of convergence.
But, in some case, the speed of convergence will significantly decrease so that linear convergence becomes sublinear convergence and quadratic convergence becomes linear convergence.
It also tells a little bit about the speed of convergence.
Thus, in order to increase the speed of convergence, for the proceeding discussion we do not implement parameter resetting.
The speed of convergence is (n^{-3}).
However, speed of convergence is different across different aggregation levels.
A small τ n guarantees the convergence of the iterative sequence, but the recursion leads to slow speed of convergence.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com