Before revision:  Unlike most existing strategies that rely on performance maximization in downstream tasks , here we propose a principled method for the identification of an optimal dimension such that all structural information of a network is parsimoniously encoded.
After revision:  Existing strategies for the selection of the embedding dimension rely on performance maximization in downstream tasks , here we propose a principled method for the identification of an optimal dimension such that all structural information of a network is parsimoniously encoded.