Lifelong Graph Learning for Graph Summarization

TL;DR

This paper explores lifelong graph summarization using neural networks on web graphs, demonstrating how models adapt over time and highlighting challenges due to increasing heterogeneity in large-scale web data.

Contribution

It introduces a lifelong learning approach for graph summarization with neural networks, analyzing parameter reuse, transfer, and forgetting over temporal web graph snapshots.

Findings

Neural networks mainly use 1-hop information for summaries.

2-hop summaries can produce significantly more vertex summaries.

Accuracy drops when applying models across a ten-year time span.

Abstract

Summarizing web graphs is challenging due to the heterogeneity of the modeled information and its changes over time. We investigate the use of neural networks for lifelong graph summarization. Assuming we observe the web graph at a certain time, we train the networks to summarize graph vertices. We apply this trained network to summarize the vertices of the changed graph at the next point in time. Subsequently, we continue training and evaluating the network to perform lifelong graph summarization. We use the GNNs Graph-MLP and GraphSAINT, as well as an MLP baseline, to summarize the temporal graphs. We compare $1$-hop and $2$-hop summaries. We investigate the impact of reusing parameters from a previous snapshot by measuring the backward and forward transfer and the forgetting rate of the neural networks. Our extensive experiments on ten weekly snapshots of a web graph with over $100$M edges, sampled in 2012 and 2022, show that all networks predominantly use $1$-hop information to determine the summary, even when performing $2$-hop summarization. Due to the heterogeneity of web graphs, in some snapshots, the $2$-hop summary produces over ten times more vertex summaries than the $1$-hop summary. When using the network trained on the last snapshot from 2012 and applying it to the first snapshot of 2022, we observe a strong drop in accuracy. We attribute this drop over the ten-year time warp to the strongly increased heterogeneity of the web graph in 2022.