***Data to reproduce experiments in research article "MERACLE: Constructive layer-wise conversion of a Tensor Train into a MERA"***
Authors: Batselier, K., Orcid: 0000-0001-7381-2630
Delft Center for Systems and Control (DCSC), Faculty of Mechanical, Maritime and Materials Engineering, Delft
University of Technology
Corresponding author: Batselier, K.
Contact Information: k.batselier@tudelft.nl

***General Introduction***
This dataset contains data files that are required to reproduce the results described in the research article "MERACLE: Constructive layer-wise conversion of a Tensor Train into a MERA" (https://arxiv.org/abs/1912.09775). The Matlab scripts to process these data files follow the naming convention 'Experimentx_.....m', where x denotes the number of the experiment. All scripts are released under a GNU LESSER GENERAL PUBLIC LICENSE and can be downloaded from https://github.com/kbatseli/MERACLE.


***Experiment1_Heatsimulation.mat***
Contains solution u(x,y,t) of second-order heat equation on the unit square [0,1]^2 with boundary contiion 0.25-|0.5-x|*|0.5-y|, which also describes the initial temperature distribution over the entire square. More details on how the heat equation was solved can be found in the MERACLE article. The data consists of a 100x100x10000 tensor T of double-precision floating-point numbers, stored as a Matlab .mat file.

***Experiment2_top_tensor.mat***
Contains a 128x128 tensor A of double-precision floating-point numbers used in experiment 2. This tensor is a modified version of the image taken from http://absfreepic.com/free-photos/download/landscape-with-lake-4412x2941_12692.html, converted to grayscale, cropped and scaled to dimensions 128x128. The data is stored as a Matlab .mat file.
