arXiv:2504.15155cs.CV2025-04被引 5

用可学习的B样条函数动态优化光谱-空间特征提取,提升高维遥感图像分类精度。

Dynamic 3D KAN Convolution with Adaptive Grid Optimization for Hyperspectral Image Classification

  • 以B样条替代传统卷积核,实现可学习的非线性激活
  • 动态调整网格点位置,适应光谱分布不均特性
  • 在小样本高噪声下仍保持低过拟合,适合遥感图像分类

深度神经网络在高光谱图像分类中面临高维数据、地物分布稀疏和光谱冗余等挑战,常导致过拟合与泛化能力弱。本文提出基于改进3D-DenseNet的KANet模型,包含3D KAN卷积与自适应网格更新机制。通过在网络边引入可学习的一元B样条函数,将三维邻域展平为向量,并用参数化B样条非线性激活函数取代传统卷积核的固定线性权重,精准捕捉高光谱数据中的复杂光谱-空间非线性关系。同时,通过动态网格调节机制,依据输入数据统计特性自适应更新B样条网格点位置,优化样条函数分辨率以匹配光谱特征的非均匀分布,显著提升模型在高维数据建模中的精度与参数效率,有效缓解维度灾难。该特性展现出优于传统CNN的神经尺度规律,在小样本与高噪声场景中降低过拟合风险。KANet通过3D动态专家卷积系统增强表征能力,无需增加网络深度或宽度。在IN、UP和KSC数据集上表现优异,超越主流高光谱分类方法。

原文摘要 · Abstract (English)

Deep neural networks face several challenges in hyperspectral image classification, including high-dimensional data, sparse distribution of ground objects, and spectral redundancy, which often lead to classification overfitting and limited generalization capability. To more efficiently adapt to ground object distributions while extracting image features without introducing excessive parameters and skipping redundant information, this paper proposes KANet based on an improved 3D-DenseNet model, consisting of 3D KAN Conv and an adaptive grid update mechanism. By introducing learnable univariate B-spline functions on network edges, specifically by flattening three-dimensional neighborhoods into vectors and applying B-spline-parameterized nonlinear activation functions to replace the fixed linear weights of traditional 3D convolutional kernels, we precisely capture complex spectral-spatial nonlinear relationships in hyperspectral data. Simultaneously, through a dynamic grid adjustment mechanism, we adaptively update the grid point positions of B-splines based on the statistical characteristics of input data, optimizing the resolution of spline functions to match the non-uniform distribution of spectral features, significantly improving the model's accuracy in high-dimensional data modeling and parameter efficiency, effectively alleviating the curse of dimensionality. This characteristic demonstrates superior neural scaling laws compared to traditional convolutional neural networks and reduces overfitting risks in small-sample and high-noise scenarios. KANet enhances model representation capability through a 3D dynamic expert convolution system without increasing network depth or width. The proposed method demonstrates superior performance on IN, UP, and KSC datasets, outperforming mainstream hyperspectral image classification approaches.

高光谱分类动态卷积B样条参数效率

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