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Scalable Attribute-Missing Graph Clustering via Neighborhood Differentiation

ICML 2025 · Graph learning › Graph algorithms and clustering · approach: Neural and local graph clustering

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Proposes CMV-ND, a training-free preprocessing that turns attribute graphs into K+1 non-overlapping multi-hop views via recursive neighborhood search and differential hop neighborhoods, enabling scalable attribute-missing deep graph clustering.

Problem

Deep graph clustering on large-scale attribute graphs where node attributes are missing, a setting where sampling and message passing degrade structural information and existing methods run out of memory.

Approach

Preprocess graph structure into multiple complete but non-redundant views: each view is the set of nodes at exactly k hops (differential hop neighborhood), averaged in features and stacked with the node's own features, so any DGC or MVC method can be run on the views without sampling or propagation.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add CMV-ND preprocessing to DinkNetDinkNet · Cora (0.6 missing rate)ACC: 66.54±1.65 -> 72.54±1.29Helped
Add CMV-ND preprocessing to DinkNetDinkNet · CiteSeer (0.6 missing rate)ACC: 58.34±1.27 -> 68.56±1.71Helped
Add CMV-ND preprocessing to DinkNetDinkNet · Amazon-Photo (0.6 missing rate)ACC: 70.75±1.47 -> 77.75±1.34Helped
Add CMV-ND preprocessing to DinkNetDinkNet · Reddit (0.6 missing rate)ACC: 66.54±2.14 -> 69.31±1.84Helped
Add CMV-ND preprocessing to DinkNetDinkNet · ogbn-arXiv (0.6 missing rate)ACC: 33.74±1.47 -> 36.84±2.04Helped
Add CMV-ND preprocessing to DinkNetDinkNet · ogbn-products (0.6 missing rate)ACC: 31.09±0.94 -> 35.91±0.43Helped
Add CMV-ND preprocessing to DinkNetDinkNet · Cora (0.6 missing rate)F1: 60.57±1.98 -> 70.57±0.64Helped
Add CMV-ND preprocessing to DinkNetDinkNet · CiteSeer (0.6 missing rate)F1: 53.41±1.15 -> 61.31±1.54Helped
Add CMV-ND preprocessing to DinkNetDinkNet · Amazon-Photo (0.6 missing rate)F1: 63.91±1.24 -> 72.03±1.43Helped
Add CMV-ND preprocessing to DinkNetDinkNet · Reddit (0.6 missing rate)F1: 57.98±2.22 -> 62.87±1.32Helped
Add CMV-ND preprocessing to DinkNetDinkNet · ogbn-arXiv (0.6 missing rate)F1: 22.99±0.64 -> 25.91±1.67Helped
Add CMV-ND preprocessing to DinkNetDinkNet · ogbn-products (0.6 missing rate)F1: 15.34±1.43 -> 23.41±1.51Helped

Surprising findings

Limitations

Experimental setup

Datasets: Cora CiteSeer Amazon-Photo Reddit ogbn-arXiv ogbn-products

Benchmarks: Cora CiteSeer Amazon-Photo Reddit ogbn-arXiv ogbn-products

Metrics: ACC NMI ARI F1

Baselines: K-means DGI MVGRL ProGCL AGC-DRR CCGC S3GC AMGC Dink-Net MFLVC MCMVC DIMVC

Builds on: Dink-Net AMGC feature propagation S3GC

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