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Parallel Computation of Graph Embeddings

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arxiv 1909.02977 v1 pith:T6IHTOGY submitted 2019-09-06 cs.LG cs.SIstat.ML

Parallel Computation of Graph Embeddings

classification cs.LG cs.SIstat.ML
keywords graphembeddingcomputationparallelembeddingscomputederivedexisting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not scale well to large graphs. We therefore propose a framework for parallel computation of a graph embedding using a cluster of compute nodes with resource constraints. We show how to distribute any existing embedding technique by first splitting a graph for any given set of constrained compute nodes and then reconciling the embedding spaces derived for these subgraphs. We also propose a new way to evaluate the quality of graph embeddings that is independent of a specific inference task. Based thereon, we give a formal bound on the difference between the embeddings derived by centralised and parallel computation. Experimental results illustrate that our approach for parallel computation scales well, while largely maintaining the embedding quality.

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