NTH

Particle Competition and Cooperation for Robust Graph Convolutional Network Learning Under Label Noise

AuthorsFabricio Breve

Affiliationsorganization=São Paulo State University - UNESP, city=Rio Claro - SP, country=Brazil

September 23, 2026 2 min read
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The one-line take

This work uses particle-based graph dynamics to clean noisy labels before training GCNs, improving robustness while keeping computation low.

Key results

10
Benchmark dataset count

NoisyGL datasets used for conventional and instance-dependent noise evaluation

60.27%
Overall average accuracy

PCC+GCN accuracy across clean and noisy benchmark settings

2.60
Average rank

Best overall average rank among evaluated methods

1.67
Average gain over GCN

Percentage-point improvement across clean and noisy scenarios

54.52
Mean runtime

Seconds per run under instance-dependent label noise

8
Fastest robust datasets

Datasets where PCC+GCN was the fastest robust method out of 10

What the paper found

This paper introduces PCC+GCN, a preprocessing framework that uses Particle Competition and Cooperation to denoise graph labels before training an unchanged Graph Convolutional Network. PCC models class-specific particles that cooperate within classes and compete across classes, then uses domination scores to preserve, remove, or reassign suspicious labels; optional feature-based k-nearest-neighbor edges improve refinement, while the GCN still uses the original graph. On 10 NoisyGL benchmark datasets with Uniform, Pair, Random, and instance-dependent noise, PCC+GCN achieved an overall average accuracy of 60.27%, a best average rank of 2.60, and an average gain of 1.67 percentage points over the baseline GCN across clean and noisy settings. Under instance-dependent noise, it remained competitive with NRGNN while averaging 54.52 seconds per run and ranking as the fastest robust method on 8 of 10 datasets. Hyperparameter analysis on Cora, CiteSeer, and PubMed showed that PCC dynamics are dataset-dependent, whereas conservative Same-Label graph augmentation generally outperformed broader edge additions. The approach is lightweight because it changes supervision rather than GCN architecture or objective, although Amazon-Computers exposed a limitation with a negative average gain. The paper also reports using ChatGPT, Gemini, and Claude for language and code assistance.

Original abstract

Graph Convolutional Networks (GCNs) are highly sensitive to label noise, since corrupted supervision can propagate through the graph and degrade learned node representations. This work proposes PCC+GCN, a hybrid framework that uses Particle Competition and Cooperation (PCC) as a graph-based label-refinement stage before GCN training. PCC identifies suspicious labeled nodes through particle domination dynamics and determines whether their labels should be preserved, removed, or reassigned before GCN training. The framework also allows the graph used by PCC to be augmented with feature-based $k$-nearest-neighbor edges, while the GCN itself is trained on the original graph structure and node features. The proposed method was evaluated on ten graph datasets from the NoisyGL benchmark under conventional Uniform, Pair, and Random label noise, as well as under instance-dependent label noise. A detailed hyperparameter analysis was also conducted on Cora, CiteSeer, and PubMed. Under conventional noise, PCC+GCN achieved the highest overall average accuracy and the best average rank among the evaluated methods, with an average gain of $1.67$ percentage points over the baseline GCN across the clean setting and all noisy scenarios. Under instance-dependent noise, PCC+GCN remained competitive with the best-performing robust methods while requiring substantially lower execution time, being the fastest robust method on eight of the ten datasets. The results indicate that PCC-based label refinement provides an effective and computationally efficient preprocessing strategy for improving GCN robustness under noisy supervision.

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