DL4IP

Dictionary Learning for Inverse Problems

Installation and Dependencies

To gain access to the code, download or clone from Github using

git clone https://github.com/elizabethnewman/DL4IP.git

This will install the directory DL4IP on your machine. Open MATLAB, change to the DL4IP directory, and run the setup file:

cd DL4IP
DL4IP_PathSetup

This path setup file will automatically clone the dependent repositories.

• IRTools: orginal MRNSD algorithm and
• AIRTools: problem setup for certain examples
• matlab2tikz: way to generate nice plots

Repository Structure

The repository has the following structure:

• code: main code for solving inverse problems using sparse dictionary representations
• dictionaries: pre-formed dictionaries from built-in MATLAB Flowers dataset and high-resolution image of the earth.
• examples: scripts to generate the examples in our paper.

Citation

@misc{newman2023image,
      title={Image reconstructions using sparse dictionary representations and implicit, non-negative mappings}, 
      author={Elizabeth Newman and Jack Michael Solomon and Matthias Chung},
      year={2023},
      eprint={2312.03180},
      archivePrefix={arXiv},
      primaryClass={math.NA}
}