ab_rsmi_data.zip

This repository contains the data used to generate the results in the paper "Compression theory for inhomogeneous systems".<br>Structure of the repository:<b>Data</b>The included data directories are as follows:<br><b>Graph structure details of the Ammann-Beenker tiling</b> are provided in `quasiperiodic_data/`.<br> `quasiperiodic_data/nodedata.dat` stores the node indices and their coordinates.<br> `quasiperiodic_data/edgedata.dat` stores the list of edges as tuples of node indices.<br> `quasiperiodic_data/order_of_8vtx.dat` and `quasiperiodic_data/regions/` store special symmetric nodes and regions like membranes and empires.<b>Monte Carlo configurations of dimer coverings</b> are provided in `data/`.<br> `data/configs/` stores the raw samples of dimer coverings in binary format.<br> `data/EandV/` stores extracted V and E configurations in `.npy` files.<b>Examples of RSMI-NE optimised coarse graining filters</b> are provided in `paper_data/`.<b>Software toolbox</b>This repository also includes software to prepare the data in a format that can be used by [`rsmine`](https://github.com/RSMI-NE/RSMI-NE).<b>Data preparation</b><br> `data_generation.ipynb` processes the raw sample datasets in `data/` to extract the V and E configurations for `rsmine` and write them into `.npy` files stored in `data/EandV/`. Each choice of coarse graining block and environment is labelled by a unique "case" number. <br> E.g. `'case_no': 51` corresponds to the four-fold deflation of the central 8-vertex using the canonical 8-star tile of the AB quasicrystal.<br> `special_vertices.ipynb` contains the details of how to construct these canonical tiles for each neighbourhood and scale transformation.`ab_rsmi_regions.ipynb` visualises V and E regions on the Ammann-Beenker tiling by taking the 'case_no', and neighbourhood index, i.e. the index of the central node for the coarse grained block V.<b>Analysis of RSMI-NE results</b> `clocks.ipynb` contains code that identifies coarse-grained clock variables.<br>