Table 1 Average computational time (in s) to compute Fréchet mean of N correlation matrices of size \((n\times n)\) under correlation and SPD geometry.

From: Geometric learning of functional brain network on the correlation manifold

 

\(n=5\)

\(n=10\)

\(n=15\)

\(n=30\)

\(N=20\)

CORR

0.183

0.487

0.839

2.249

SPD

0.008

0.016

0.035

0.073

\(N=50\)

CORR

0.383

0.988

1.690

5.365

SPD

0.017

0.032

0.069

0.171

\(N=100\)

CORR

0.813

2.132

3.387

10.743

SPD

0.035

0.066

0.145

0.341