Abstract: Hyperspectral image (HSI) provides detailed spectral and spatial information, essential for precise earth observation and various applications. Deep learning has advanced HSI classification, but the scarcity of labeled data and large model parameters necessitate semi-supervised methods to enhance performance and generalization. In this paper, we propose a novel semi-supervised framework dubbed Knowledge-Aware Geometric Contourlet Semantic Learning (KGCSL), aiming to achieve high-precision HSI classification with limited samples leveraging geometric and semantic knowledge. Specifically, to fully leverage geometric knowledge, KGCSL incorporates multi-scale and multi-directional representations of the contourlet transform within the neural network, enhancing the robustness of feature extraction and interpretability. Furthermore, to fully utilize semantic knowledge, an entropy-weighted prototype loss function is designed that exploits the attribute relationships between labeled and unlabeled samples to guide the optimization of unlabeled samples, promoting comprehensive semantic learning. Comprehensive evaluations of the proposed KGCSL framework on three public HSI datasets show that it outperforms existing state-of-the-art HSI classification methods and exhibits excellent generalization capabilities in limited-sample scenarios. The source code is available at https://github.com/ShirlySmile/KGCSL.
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