This package contains the implementation of ID-Net algorithm proposed in the paper [1].

The code consists of an interpretable deep learning method for hyperspectral unmixing that accounts for nonlinearity and endmember variability. It leverages a probabilistic variational deep-learning framework, where disentanglement learning is employed to properly separate the abundances and endmembers. The model is learned end-to-end using stochastic backpropagation, and trained using a self-supervised strategy which leverages benefits from semi-supervised learning techniques. The model is designed to provide a high degree of interpretability.

The datasets are available in Zenodo here, https://doi.org/10.5281/zenodo.8360465. Please download them and include the correct paths to them in the beginning of the DataGeneration.py file to be able to run the examples.

To run the method using the datasets used in the paper, just run main_IDNet.py with the appropriate dataset selected in the EX_NUM variable in the beginning of the main function.

The results are saved in .mat format in the results folder. They contain the variables:

• A_est : estimated abundance maps.
• A_true : ground-truth values for the abundances, when available for the experiments with synthetic data.
• Mn_est : estimated endmembers for each pixel of the image.
• Mn_true : ground truth of the endmembers for each pixel of the image, when available for the experiments with synthetic data.
• Y_rec : the hyperspectral image reconstructed by the algorithm.
• a_nlin_deg : the "degree of nonlinearity" in the estimated abundances (see the experimental section of the paper for a precise definition).

The datasets are loaded in the DataGeneration.py file and follow the Pytorch dataloader format. To use your own image or dataset, you can edit or replicate one of the existing dataloader classes in this file to load the new data accordingly. The simplest way is to substitute the files from one of the examples with real data, for instance, of the Samson image, defined in the paths as:

path_dataset_Samson = ['DATA/real_Samson/alldata_real_Samson.mat',\
                       'DATA/real_Samson/extracted_bundles.mat']

There are two .mat files that need to be loaded. The first file (alldata_real_Samson.mat in the above example) should contain three numpy arrays:

• Y : a matrix of size num_bands * pixels containing the hyperspectral image ordered as a matrix.
• Yim : an array of size num_bands * num_rows * num_cols containing the image ordered as a tensor/cube.
• M0 : a matrix of size num_bands * num_endmembers containing a sample/reference endmember matrix (it can be extracted from Y using, e.g., the VCA algorithm).

The second file (extracted_bundles.mat in the above example) should contain a set of spectral libraries for each endmember:

• bundleLibs : an array of dimension 1 * num_endmembers, where each element of the array is itself an array of size num_bands * size_of_the_library containing different samples of each endmember.

The spectral libraries can be extracted from the image itself, for how to do that, see the paper or section V-A1 of this paper. For your convenience, a set of Matlab functions that can be used for this task are included in the library_extraction folder, see the library_extraction_example.m file for an example.

If you use this software please cite the following in any resulting publication:

[1] Learning Interpretable Deep Disentangled Neural Networks for Hyperspectral Unmixing
    R.A. Borsoi, D. Erdogmus, T. Imbiriba.
    IEEE Transactions on Computational Imaging, 2023.