notesum.ai

Published at December 5

Multi-Scale Node Embeddings for Graph Modeling and Generation

physics.soc-ph

cs.LG

econ.GN

physics.data-an

q-fin.EC

Released Date: December 5, 2024

Authors: Riccardo Milocco¹, Fabian Jansen², Diego Garlaschelli³

Aff.: ¹IMT School for Advanced Studies; ²University; ³Leiden University

Arxiv: http://arxiv.org/pdf/2412.04354v1

Refer to caption

(a) AICs by model class for WTW
Model	Dim	Level 0	Level 1	Level 2	Level 3	Level 4	Level 5
LPCA	(1, 1)	0.6109	0.5636	0.572	0.5764	0.5584	0.444
LPCA	(8, 8)	0.4536	0.4309	0.5289	0.7033	1.0492	2.0645
MSM	1	0.6146	0.5637	0.5656	0.5649	0.5387	0.3991
	2	0.5807	0.5332	0.5389	0.5285	0.5016	0.3665
	3	0.5684	0.5483	0.5528	0.5519	0.5446	0.4753
	4	0.5567	0.5366	0.5522	0.5642	0.5645	0.4876
	5	0.5628	0.5295	0.5511	0.567	0.5825	0.5279
	6	0.5674	0.5356	0.5603	0.5946	0.6059	0.607
	7	0.5707	0.5424	0.5679	0.6174	0.6557	0.7085
	8	0.5181	0.4733	0.4959	0.5363	0.5764	0.7742
	9	0.5809	0.5649	0.6051	0.6526	0.7167	0.8852
	10	0.5923	0.5765	0.6198	0.6819	0.7609	0.994
	11	0.6017	0.5949	0.6362	0.7114	0.7962	1.0688
	16	0.557	0.5571	0.631	0.7292	0.9881	1.5484