ab_rsmi_data

This repository contains the data used to generate the results in the paper "Compression theory for inhomogeneous systems".Structure of the repository:DataThe included data directories are as follows:Graph structure details of the Ammann-Beenker tiling are provided in `quasiperiodic_data/`. `quasiperiodic_data/nodedata.dat` stores the node indices and their coordinates. `quasiperiodic_data/edgedata.dat` stores the list of edges as tuples of node indices. `quasiperiodic_data/order_of_8vtx.dat` and `quasiperiodic_data/regions/` store special symmetric nodes and regions like membranes and empires.Monte Carlo configurations of dimer coverings are provided in `data/`. `data/configs/` stores the raw samples of dimer coverings in binary format. `data/EandV/` stores extracted V and E configurations in `.npy` files.Examples of RSMI-NE optimised coarse graining filters are provided in `paper_data/`.Software toolboxThis repository also includes software to prepare the data in a format that can be used by [`rsmine`](https://github.com/RSMI-NE/RSMI-NE).1- Data preparation `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. 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. `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.2- Analysis of RSMI-NE results `clocks.ipynb` contains code that identifies coarse-grained clock variables.