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PyTorch-BigGraph: A Large-scale Graph Embedding System (1903.12287v3)

Published 28 Mar 2019 in cs.LG, cs.AI, cs.DC, cs.SI, and stat.ML

Abstract: Graph embedding methods produce unsupervised node features from graphs that can then be used for a variety of machine learning tasks. Modern graphs, particularly in industrial applications, contain billions of nodes and trillions of edges, which exceeds the capability of existing embedding systems. We present PyTorch-BigGraph (PBG), an embedding system that incorporates several modifications to traditional multi-relation embedding systems that allow it to scale to graphs with billions of nodes and trillions of edges. PBG uses graph partitioning to train arbitrarily large embeddings on either a single machine or in a distributed environment. We demonstrate comparable performance with existing embedding systems on common benchmarks, while allowing for scaling to arbitrarily large graphs and parallelization on multiple machines. We train and evaluate embeddings on several large social network graphs as well as the full Freebase dataset, which contains over 100 million nodes and 2 billion edges.

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Authors (7)
  1. Adam Lerer (30 papers)
  2. Ledell Wu (16 papers)
  3. Jiajun Shen (35 papers)
  4. Luca Wehrstedt (4 papers)
  5. Abhijit Bose (1 paper)
  6. Alex Peysakhovich (6 papers)
  7. Timothee Lacroix (1 paper)
Citations (368)

Summary

  • The paper introduces a scalable graph embedding system that employs block decomposition to manage massive graphs with billions of nodes and trillions of edges.
  • The paper leverages distributed processing and efficient negative sampling to optimize memory usage and training speed.
  • The paper validates its approach on real-world datasets, achieving competitive embedding quality on graphs like Freebase, LiveJournal, and Twitter.

PyTorch-BigGraph: A Large-scale Graph Embedding System

The paper introduces PyTorch-BigGraph (PBG), a graph embedding system designed to manage the challenges of scaling graph embeddings to work with very large modern graph data containing billions of nodes and trillions of edges. PBG addresses the scalability limitations found in existing embedding systems by modifying traditional multi-relation embedding methods, enabling them to operate effectively on extremely large-scale datasets.

Contributions and Methodology

The PyTorch-BigGraph framework incorporates several key innovations:

  • Block Decomposition: PBG uses a unique block decomposition of the graph's adjacency matrix. The graph is divided into NN buckets, where each bucket's edges are processed independently. This segmentation aids in reducing memory consumption and permits distributed computing across multiple nodes to facilitate the handling of massive graphs.
  • Scalable Execution: The partitioning allows PBG to run on a single machine or scale up to distributed networks seamlessly. This design fosters scalability on-the-fly, making PBG adaptable to the size of the available computational resources.
  • Efficient Negative Sampling: PBG employs a sophisticated negative sampling mechanism. It strikes a balance between uniform and data-driven sampling of negative nodes, optimizing the memory bandwidth while maintaining the model's predictive performance.
  • Multi-entity, Multi-relation Support: The system supports graphs with diverse types of entities and relations, increasing its versatility for various graph inputs. PBG provides per-relation configurable options, such as specifying edge weights and choosing the relation operator, which tailor the embedding process to specific requirements of different datasets.

The paper describes the results of PBG's application on real-world large datasets, such as social network graphs (LiveJournal, YouTube, and Twitter) and a comprehensive knowledge graph (Freebase). The findings illustrate that PBG retains comparable or superior embedding quality relative to existing techniques across a variety of benchmarks. Notably, it achieves significant improvements in computational efficiency and scalability, as evidenced by experiments showing reductions in memory usage and training time with consistent model performance.

Technical Implications

The technical implications of PBG are pronounced:

  • Computational Efficiency: By leveraging partitioning and distributed processing, PBG substantially reduces computational load and memory requirements, making it feasible to work with unprecedentedly large datasets.
  • Flexibility: The adaptable framework of PBG which accommodates various entity and relation types makes it applicable to a broad scope of tasks in graph-based machine learning applications, from general knowledge representation to specific domain-driven case studies in industry settings.
  • Research Platform: As PBG is open-sourced, it provides a valuable tool for further research in scalable machine learning models, offering a novel approach for handling large-scale graph data and potentially inspiring additional developments within the field.

Future Directions

Future investigations following this work could explore:

  • Enhanced Modeling Capabilities: Building on PBG's framework, more complex models, particularly those involving convolutional networks over graphs, can be explored to improve expressiveness and accuracy for more complicated datasets.
  • Optimization Techniques: Further improving the partitioning strategy or the distributed training mechanism might yield even greater efficiency gains and model performance as datasets grow in complexity and size.
  • Interdisciplinary Applications: Extending PBG's application to other domains outside social networks and knowledge bases, for example, in biological networks or transportation systems, could highlight new insights and challenges.

PyTorch-BigGraph's introduction is a significant methodological advancement in handling large-scale graph data efficiently. It lays the groundwork for scalable solutions capable of processing the next generation of extensive graph-based datasets in machine learning.

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