Behavior of restoration strength at intermediate update dispersion

Determine how the restoration strength parameter \(\kappa\) behaves for intermediate values of the expert-update dispersion statistic \(D\), beyond the empirically observed low- and high-dispersion regimes.

Background

CORAM selects its amplification coefficient as $\lambda=\kappa\sqrt{N}$, using the dispersion statistic $D$ to distinguish between two empirically observed regimes. Low-dispersion suites, with comparable expert-update magnitudes, favor near-full restoration with $\kappa$ approximately 1.15, whereas the single high-dispersion suite favors partial restoration with $\kappa$ approximately 0.5.

Only low- and high-dispersion bases are represented in the evaluated public expert suites. Consequently, the paper does not characterize whether $\kappa$ varies continuously, abruptly, or according to another rule for intermediate values of $D$.