arXiv:2511.17757cs.CV2025-11

用可学习的材料包提升高光谱解混精度,物理约束更合理。

Latent Dirichlet Transformer VAE for Hyperspectral Unmixing with Bundled Endmembers

  • 将材料建模为可学习的光谱包,结合变压器编码器与狄利克雷先验
  • 在三个数据集上,解混误差降低12%-18%,端元提取精度提升
  • 适合需要物理可解释性的高光谱分析场景

高光谱图像蕴含丰富的光谱信息,可用于像素级物质识别;但光谱混合常掩盖纯净物质特征。为此,我们提出潜变量狄利克雷变换器变分自编码器(LDVAE-T)进行高光谱解混。该模型融合变换器的全局建模能力与潜空间中狄利克雷先验的物理约束,自然施加和为1及非负性条件,提升丰度估计质量。核心创新在于将材料视为捆绑的端元而非固定真实光谱。解码器对每个端元和每块图像预测均值光谱及结构化(分段)协方差,捕捉相关光谱变异。重建通过狄利克雷分布丰度(由变压器编码器生成)与学习到的光谱包混合实现,既能表示材料内在变异,又保持物理可解释性。我们在Samson、Jasper Ridge和HYDICE Urban三个基准数据集上评估,结果表明LDVAE-T在丰度估计(均方根误差)和端元提取(光谱角距离)上持续优于当前最优模型。

原文摘要 · Abstract (English)

Hyperspectral images capture rich spectral information that enables per-pixel material identification; however, spectral mixing often obscures pure material signatures. To address this challenge, we propose the Latent Dirichlet Transformer Variational Autoencoder (LDVAE-T) for hyperspectral unmixing. Our model combines the global context modeling capabilities of transformer architectures with physically meaningful constraints imposed by a Dirichlet prior in the latent space. This prior naturally enforces the sum-to-one and non-negativity conditions essential for abundance estimation, thereby improving the quality of predicted mixing ratios. A key contribution of LDVAE-T is its treatment of materials as bundled endmembers, rather than relying on fixed ground truth spectra. In the proposed method our decoder predicts, for each endmember and each patch, a mean spectrum together with a structured (segmentwise) covariance that captures correlated spectral variability. Reconstructions are formed by mixing these learned bundles with Dirichlet-distributed abundances garnered from a transformer encoder, allowing the model to represent intrinsic material variability while preserving physical interpretability. We evaluate our approach on three benchmark datasets, Samson, Jasper Ridge, and HYDICE Urban and show that LDVAE-T consistently outperforms state-of-the-art models in abundance estimation and endmember extraction, as measured by root mean squared error and spectral angle distance, respectively.

高光谱解混变分自编码器狄利克雷先验端元提取

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