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Remote Sensing
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23 November 2025

Spectral–Spatial Superpixel Bi-Stochastic Graph Learning for Large-Scale and High-Dimensional Hyperspectral Image Clustering

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Rocket Force University of Engineering, Xi’an 710025, China
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Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Remote Sens.2025, 17(23), 3799;https://doi.org/10.3390/rs17233799 
(registering DOI)
This article belongs to the Section Remote Sensing Image Processing

Abstract

Despite the substantial body of work that has achieved large-scale data expansion using anchor-based strategies, these methods incur linear complexity relative to the sample size during iterative processes, making them quite time-consuming. Moreover, as feature dimensionality reduction is often overlooked in this procedure, most of them suffer from the “curse of dimensionality”. To address all these issues simultaneously, we introduce a novel paradigm with a superpixel encoding and data projecting strategy, which learns a small-scale bi-stochastic graph from the data matrix with large-scale pixels and high-dimensional spectral features to achieve effective clustering. Moreover, a symmetric neighbor search strategy is integrated into our framework to ensure the sparsity of graph and further improve the calculation efficiency. For optimization, a simple yet effective strategy is designed, which simultaneously satisfies all bi-stochastic constraints while ensuring convergence to the optimal solution. To validate our model’s effectiveness and scalability, we conduct extensive experiments on various-scale hyperspectral images (HSIs). The results demonstrate that our method achieves the state-of-the-art clustering performance, and can be better extended to large-scale and high-dimensional HSIs.

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