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Multi-relational Poincaré Graph Embeddings

Multi-relational link prediction in the Poincaré ball model of hyperbolic space.

This codebase contains PyTorch implementation of the paper:

Multi-relational Poincaré Graph Embeddings. Ivana Balažević, Carl Allen, and Timothy M. Hospedales. Neural Information Processing Systems (NeurIPS), 2019. [Paper]

Link Prediction Results

Model	Dataset	dim	MRR	Hits@10	Hits@3	Hits@1
MuRP	WN18RR	40	0.477	0.555	0.489	0.438
MuRP	WN18RR	200	0.481	0.566	0.495	0.440
MuRE	WN18RR	40	0.459	0.528	0.474	0.429
MuRE	WN18RR	200	0.475	0.554	0.487	0.436
MuRP	FB15k-237	40	0.324	0.506	0.356	0.235
MuRP	FB15k-237	200	0.335	0.518	0.367	0.243
MuRE	FB15k-237	40	0.315	0.493	0.346	0.227
MuRE	FB15k-237	200	0.336	0.521	0.370	0.245

Running a model

To run the model, execute the following command:

 CUDA_VISIBLE_DEVICES=0 python main.py --model poincare --dataset WN18RR --num_iterations 500 
                                       --nneg 50 --batch_size 128 --lr 50 --dim 40

Available datasets are:

FB15k-237
WN18RR

To reproduce the results from the paper, use learning rate 50 for WN18RR and learning rate 10 for FB15k-237.

Requirements

The codebase is implemented in Python 3.6.6. Required packages are:

numpy      1.15.1
pytorch    1.0.1

Citation

If you found this codebase useful, please cite:

@inproceedings{balazevic2019multi,
title={Multi-relational Poincar$\backslash$'e Graph Embeddings},
author={Bala{\v{z}}evi{\'c}, Ivana and Allen, Carl and Hospedales, Timothy},
booktitle={Advances in Neural Information Processing Systems},
year={2019}
}