OIMGC-Net: Optimization-inspired Interpretable Multi-view Graph Clustering Network

Deep multi-view graph clustering seeks to integrate diverse graph feature sets and uncover consistent information across multiple views. While extensive prior research has utilized various neural network architectures to address multi-view graph clustering challenges, these approaches exhibit notable limitations: 1) The ''black-box'' nature of deep learning models, which obscures their internal mechanisms and impedes interpretability; 2) Insufficient efforts aim to capture low-dimensional representations through graphs that reflect intuitive clustering structures and reduce computational cost. To address these limitations, this paper introduces an interpretable multi-view graph clustering framework constructed with optimization-inspired modules. The proposed approach formulates low-dimensional clustering representation learning from graph matrices as an optimization problem, deriving an iterative solution rooted in this formulation. By seamlessly bridging this optimization process to a deep network architecture, the model learns a low-dimensional clustering representation for graph-structured data across multiple views while adhering to the iterative optimization principles and reducing computational costs. This transparent network design enhances the interpretability of multi-view clustering, enabling intuitive and human-understandable learning of clustering structures. Extensive experimental evaluations validate the proposed framework's superiority over state-of-the-art methods in multi-view clustering tasks while ensuring interpretability and reducing computational costs.