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Summary of Sharp Bounds For Poly-gnns and the Effect Of Graph Noise, by Luciano Vinas and Arash A. Amini


Sharp Bounds for Poly-GNNs and the Effect of Graph Noise

by Luciano Vinas, Arash A. Amini

First submitted to arxiv on: 28 Jul 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Statistics Theory (math.ST); Machine Learning (stat.ML)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper investigates the performance of graph neural networks with graph-polynomial features (poly-GNNs) for semi-supervised node classification under a general contextual stochastic block model (CSBM). It analyzes poly-GNNs’ output node representations and shows that the rate of separation between classes does not depend on the network’s depth, negating any benefit from further aggregation. The study highlights the impact of “graph noise” in deep GNNs and demonstrates how graph structure noise can dominate other sources of signal.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper explores how well graph neural networks (GNNs) with special features do at classifying nodes on graphs when some information is missing. They look at what happens when these networks get deeper, thinking that more layers might help them separate different groups better. But they found out that having many layers doesn’t really make a difference – even the shallowest network does just as well! They also showed how extra noise in the graph can mess things up and make it harder to learn from.

Keywords

» Artificial intelligence  » Classification  » Semi supervised