Hyppye, a Python Package by Factored

Hyperbolic embeddings repository - Developed and Maintained by Factored AI

Installation guide

• git clone [email protected]:lacunafellow/hyppye.git hyppye
• cd hyppye
• pip install --user .

Usage guide:

Example: create 3-dimensional embeddings from music_info.edges and save to embedding_result.txt

hyppye -i music_info.edges -o embedding_result.txt --dim 3

Parameters --input and --output are always required, if not provided, a help menu wil be shown.

Hyppye API is global executable. For more help on the available options, please run:

hyppye --help

Parameters

• Parameter --input is a mandatory parameter that will receive the path of the input file. The input file may be an edge list separated by spaces (see music_info.edges on example directory). If this is the case, run as follows:

  hyppye --input example/music_info.edges --output embedding_result.txt --dim 3

• The other kind of file that --input parameter allows is a csv file separated by tabs containing a graph that will be converted into a tree and then, an edge list and a hash map will be generated as a tab separated file. If this is the case, run as follows:

  hyppye --input example/music_info.txt --output embedding_result.txt --dim 3

• Parameter -d (--dim) allows to choose the dimensions of the embedding. Default value is 3. Embeddings are not available for dimensions lower than 3. For an embedding with 7 dimensions, use:

  hyppye --input music_info.edges --output embedding_result.txt --dim 7

• Parameter -p (--precision) allows to choose the precision (in bits) used to compute the overall mathematical operations. Default precision is 256 bits. In order to use another precision, for example 128 bits, run:

  hyppye --input music_info.edges --output embedding_result.txt --dim 3 --precision 128

• Parameter -p (--precision) allows to choose the precision (in bits) used to compute the overall mathematical operations. Default precision is 256 bits. In order to use another precision, for example 128 bits, run:

  hyppye --input music_info.edges --output embedding_result.txt --dim 3 --precision 128

• Parameter -e (--eps) allows to choose the value of epsilon to compute the corresponding scaling factor in the worst-case distortion case. For more information on the scaling factor and the parameter epsilon, please refer to Representation Tradeoffs for Hyperbolic Embeddings. Default value of epsilon is 0.1. For a different value, for example 0.5, run:

  hyppye --input music_info.edges --output embedding_result.txt --dim 3 --eps 0.5

• Parameter -c (--use_codes) if used, allows algorithm to use code theory to choose the position of the children nodes with respect to its parent. If not used, a uniform sampling along an hypersphere of dimension given by parameter --dim will be used. For use this parameter, run

  hyppye --input music_info.edges --output embedding_result.txt --dim 3 --eps 0.5

• Parameter -v (--verbose) allows verbosity for a value different of 0. Default value is 0, i.e., no verbosity.

• Parameter -r (--results) will allow to see statistics and metrics such as the Mean Average Precision (MAP), average distortion and worst-case distortion. Run with

  hyppye --input music_info.edges --output embedding_result.txt --dim 3 --results

• Parameter -s (--sample) will allow to sample a certain number of nodes in the graph to compute the sample instead of use the complete graph. This is an optional parameter with no default. Run as

  hyppye --input music_info.edges --output embedding_result.txt --dim 3 --sample 100

Results

Using a three dimensional embedding will give the following results.