高光谱成像
计算机科学
像素
端元
人工智能
模式识别(心理学)
非负矩阵分解
算法
矩阵分解
梯度下降
盲信号分离
人工神经网络
物理
特征向量
频道(广播)
量子力学
计算机网络
作者
Alexandre Zouaoui,Gedeon Muhawenayo,Behnood Rasti,Jocelyn Chanussot,Julien Mairal
出处
期刊:IEEE transactions on image processing
[Institute of Electrical and Electronics Engineers]
日期:2023-01-01
卷期号:32: 4649-4663
标识
DOI:10.1109/tip.2023.3301769
摘要
In this paper, we introduce a new algorithm based on archetypal analysis for blind hyperspectral unmixing, assuming linear mixing of endmembers. Archetypal analysis is a natural formulation for this task. This method does not require the presence of pure pixels (i.e., pixels containing a single material) but instead represents endmembers as convex combinations of a few pixels present in the original hyperspectral image. Our approach leverages an entropic gradient descent strategy, which (i) provides better solutions for hyperspectral unmixing than traditional archetypal analysis algorithms, and (ii) leads to efficient GPU implementations. Since running a single instance of our algorithm is fast, we also propose an ensembling mechanism along with an appropriate model selection procedure that make our method robust to hyper-parameter choices while keeping the computational complexity reasonable. By using six standard real datasets, we show that our approach outperforms state-of-the-art matrix factorization and recent deep learning methods. We also provide an open-source PyTorch implementation: https://github.com/inria-thoth/EDAA.
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