Network & Metric Backbone comparison¶

Network: Workplace (results only)¶

Reference: Data on face-to-face contacts in an office building suggest a low-cost vaccination strategy based on community linkers", M. Génois et al., Network Science 3, 326 (2015).

Original data: http://www.sociopatterns.org/publications/data-on-face-to-face-contacts-in-an-office-building-suggest-a-low-cost-vaccination-strategy-based-on-community-linkers/

Modularity in networks with original node position¶

Modularity in networks with recomputed node position¶

Modules¶

	Original	Metric	Threshold	Random*
Meta labels	12	-	-	-
Original proximity	25	13	17	35.16 (±2.07)

* Results on 100 realizations.

$h$, $y$, $J$ and $\text{clusim}$ measures¶

$h_{A \\to B}$ / $h_{B \\to A}$		B
$h_{A \\to B}$ / $h_{B \\to A}$		Original proximity	Backbone	Threshold	Random*
A	Meta labels	0.09/0.09	0.15/0.11	0.17/0.10	0.42(±0.03)/0.27(±0.03)
A	Original proximity	-	0.14/0.08	0.16/0.07	0.46(±0.01)/0.28(±0.03)

* Results on 100 realizations.

$y_{AB}$		B
$y_{AB}$		Original proximity	Backbone	Threshold	Random*
A	Meta labels	0.86	0.80	0.60	0.45(±0.02)
A	Original proximity	-	0.81	0.66	0.47(±0.02)

* Results on 100 realizations.

$J_{A \\to B}$ / $J_{B \\to A}$		B
$J_{A \\to B}$ / $J_{B \\to A}$		Original proximity	Backbone	Threshold	Random*
A	Meta labels	0.77/0.90	0.78/0.74	0.59/0.45	0.32(±0.04)/0.23(±0.03)
A	Original proximity	-	0.84/0.69	0.72/0.47	0.35(±0.04)/0.22(±0.03)

* Results on 100 realizations.

$\\text{clusim}_{AB}$		B
$\\text{clusim}_{AB}$		Original proximity	Backbone	Threshold	Random*
A	Meta labels	0.84	0.68	0.64	0.29(±0.04)
A	Original proximity	-	0.68	0.63	0.28(±0.04)

* Results on 100 realizations.