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Topological Recurrent Neural Network for Diffusion Prediction (1711.10162v2)

Published 28 Nov 2017 in cs.LG and stat.ML

Abstract: In this paper, we study the problem of using representation learning to assist information diffusion prediction on graphs. In particular, we aim at estimating the probability of an inactive node to be activated next in a cascade. Despite the success of recent deep learning methods for diffusion, we find that they often underexplore the cascade structure. We consider a cascade as not merely a sequence of nodes ordered by their activation time stamps; instead, it has a richer structure indicating the diffusion process over the data graph. As a result, we introduce a new data model, namely diffusion topologies, to fully describe the cascade structure. We find it challenging to model diffusion topologies, which are dynamic directed acyclic graphs (DAGs), with the existing neural networks. Therefore, we propose a novel topological recurrent neural network, namely Topo-LSTM, for modeling dynamic DAGs. We customize Topo-LSTM for the diffusion prediction task, and show it improves the state-of-the-art baselines, by 20.1%--56.6% (MAP) relatively, across multiple real-world data sets. Our code and data sets are available online at https://github.com/vwz/topolstm.

Citations (151)

Summary

  • The paper introduces Topo-LSTM, a new RNN that harnesses dynamic DAG representations to predict information diffusion accurately.
  • It outperforms state-of-the-art models by achieving up to a 56.6% improvement in Mean Average Precision across multiple real-world datasets.
  • The study highlights how modeling diffusion topologies can better capture complex cascade interactions, with implications for marketing, epidemiology, and social media analysis.

Topological Recurrent Neural Network for Diffusion Prediction

The paper introduces a novel approach to predicting information diffusion on social networks, specifically leveraging a new neural network architecture called Topological Long Short-Term Memory (Topo-LSTM). The authors aim to address the shortcomings of existing methods by better capturing the structural dynamics of information cascades represented as directed acyclic graphs (DAGs).

Problem Formulation and Approach

Information diffusion prediction involves forecasting which nodes in a network will become active, given an initial set of activations. Traditional models like the Independent Cascade (IC) and Linear Threshold (LT) often treat diffusion as a predetermined process, while newer deep learning methods, although effective, sometimes underutilize the potential insights from cascade structures.

To better represent these dynamics, the authors propose the concept of "diffusion topologies," which describe cascades more comprehensively as dynamic DAGs instead of linear sequences. This representation accounts for the rich structural interactions between nodes, crucial for understanding how information spreads in a network.

Topo-LSTM is introduced as a recurrent neural network (RNN) specifically designed to handle these dynamic DAGs. Unlike traditional RNNs or even more advanced architectures like Tree-LSTM, Topo-LSTM is tailored to the particularities of diffusion processes, allowing the model to learn sender embeddings that capture both the static and dynamic aspects of node interactions. This allows for a more nuanced prediction model that respects the complex nature of information propagation.

Key Findings and Results

Empirically, the Topo-LSTM outperforms several state-of-the-art models such as Embedded-IC and DeepCas on multiple real-world datasets, including Digg, Twitter, and Memes. The increase in Mean Average Precision (MAP) compared to the best baseline models ranged from 20.1% to 56.6%, indicating a significant improvement in capture accuracy. This underscores the effectiveness of utilizing diffusion topologies and the Topo-LSTM's architecture for inference.

The paper also provides an analysis of the impact of the model's hidden dimensionality on prediction performance, noting that the model benefits from larger dimensions, particularly when capturing more complex cascade dynamics. Additionally, the paper examines how cascade length affects prediction accuracy, revealing a general trend where prediction becomes more challenging as the number of active nodes increases, with exceptions noted on the Twitter dataset.

Theoretical and Practical Implications

Topo-LSTM's introduction marks a step forward in embedding rich network information for predictive tasks. The key theoretical contribution lies in demonstrating how modeling dynamic DAG structures can improve learning outcomes for tasks traditionally handled with simpler graph representations. Practically, this suggests that leveraging the complex structure of information diffusion can enhance predictive analytics, likely benefitting areas such as marketing, epidemiology, and social media analysis where understanding propagation dynamics is crucial.

Future Directions

The proposed model opens several avenues for further research, such as integrating additional node features and content information to refine predictions. The idea of differentiating the influence of nodes based on interaction frequency and timing could also lead to a more granular understanding of influence dynamics. Moreover, the model could be expanded with attention mechanisms to further enhance its ability to focus on influential nodes within the diffusion process.

Conclusion

This paper successfully leverages innovative neural network design to advance the predictive capabilities in the domain of information diffusion. By formalizing the concept of diffusion topologies and introducing the Topo-LSTM model, the authors provide a robust framework that significantly improves upon existing benchmarks, offering valuable insights into the complex nature of networked information spread.

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