8. Numerical verification and convergence

8. Numerical verification and convergence

Conservation identity. Summing Gbx(T−t) Gxa(t) over all genes x reproduces Gba(T) at all 17 time points on the network, with a largest relative deviation of 1.99e−15. This confirms that the weights partition the driver-to-response influence.

Quadrature convergence (). Weights at nt = 4 differ from the nt = 16 default by at most 9.48e−03 and at nt = 8 by 2.88e−05, with identical top-20s in both cases — the default is more precise than ranking needs.

figure
Figure 12. NetPert rank-weight curve (); the nt = 16 default is converged — top-20 identical from nt = 4.

Distribution supplement ()

weight dist
weight dist
Highlight figure.