isometry.rel.rms.error: Compute Relative RMS Isometry Error

In dgraphs: Data-Derived Graph Construction Utilities

Compute Relative RMS Isometry Error

Description

Computes the relative root-mean-square distance-matrix error after optional scalar calibration:

\left[ \frac{\sum_{i<j}(\alpha\hat D_{ij}-D_{ij})^2} {\sum_{i<j}D_{ij}^2} \right]^{1/2}.

Usage

isometry.rel.rms.error(
  D.estimated,
  D.true,
  scale = TRUE,
  true.tol = sqrt(.Machine$double.eps)
)

Arguments

D.estimated	Estimated distance matrix or dist object.
D.true	Ground-truth distance matrix or dist object.
scale	Logical scalar. If TRUE, use isometry.scale() to optimally rescale estimated distances before computing the error.
true.tol	Non-negative tolerance. Pairs with true distance less than or equal to this value are excluded from relative metrics.

Value

Numeric scalar relative RMS error.

Examples

D <- as.matrix(dist(1:4))
isometry.rel.rms.error(2 * D, D)

dgraphs documentation built on Aug. 21, 2026, 1:08 a.m.