isometry.scale: Compute the Optimal Isometry Calibration Scale

In dgraphs: Data-Derived Graph Construction Utilities

Compute the Optimal Isometry Calibration Scale

Description

Computes the least-squares scalar \alpha that aligns estimated distances to true distances:

\alpha^* = \frac{\sum_{i<j} \hat D_{ij}D_{ij}} {\sum_{i<j} \hat D_{ij}^2}.

Usage

isometry.scale(D.estimated, D.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.
true.tol	Non-negative tolerance. Pairs with true distance less than or equal to this value are excluded from relative metrics.

Value

Numeric scalar calibration scale.

Examples

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

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