Enhancing Robustness of Graph Neural Networks through p-Laplacian
- URL: http://arxiv.org/abs/2511.06143v1
- Date: Sat, 08 Nov 2025 21:36:42 GMT
- Title: Enhancing Robustness of Graph Neural Networks through p-Laplacian
- Authors: Anuj Kumar Sirohi, Subhanu Halder, Kabir Kumar, Sandeep Kumar,
- Abstract summary: Graph Neural Networks (GNNs) have shown great promise in various ap- plications, such as social network analysis, recommendation systems, drug discovery, and more.<n>This paper presents a computationally ef- ficient robustness framework, namely, pLAPGNN, based on weighted p-Laplacian for making GNNs robust.
- Score: 2.984286239048672
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: With the increase of data in day-to-day life, businesses and different stakeholders need to analyze the data for better pre- dictions. Traditionally, relational data has been a source of various insights, but with the increase in computational power and the need to understand deeper relationships between en- tities, the need to design new techniques has arisen. For this graph data analysis has become an extraordinary tool for un- derstanding the data, which reveals more realistic and flexible modelling of complex relationships. Recently, Graph Neural Networks (GNNs) have shown great promise in various ap- plications, such as social network analysis, recommendation systems, drug discovery, and more. However, many adversar- ial attacks can happen over the data, whether during training (poisoning attack) or during testing (evasion attack), which can adversely manipulate the desired outcome from the GNN model. Therefore, it is crucial to make the GNNs robust to such attacks. The existing robustness methods are computa- tionally demanding and perform poorly when the intensity of attack increases. This paper presents a computationally ef- ficient framework, namely, pLAPGNN, based on weighted p-Laplacian for making GNNs robust. Empirical evaluation on real datasets establishes the efficacy and efficiency of the proposed method.
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