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Hawkes Process via Graph Contrastive Discriminant Representation Learning and Transformer Capturing Long-Term Dependencies

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Neural Information Processing (ICONIP 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1791))

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Abstract

Nowadays, heterogeneous event sequence data is an inseparable and extremely important part for our daily life. The extraordinary nature of event sequence data is characterized by its existing complex long-term and short-term temporal dependencies. Most point process models based on a recurrent neural network fail to capture these dependencies and make accurate predictions. The Transformer Hawkes Process(THP) model, utilizes the self-attention mechanism to capture long-term dependencies, which is suitable and effective for the prediction of event sequence data. Graph contrastive learning (GCL) with adaptive reinforcement can enhance data by making the intra-class hidden features of the instances close while keeping the inter-class hidden features scattered away. Inspired by these, we propose the idea of combining the THP with adaptive enhanced GCL. The proposed Hawkes Process via Graph Contrastive Discriminant representation Learning and Transformer capturing long-term dependencies(GCDRLT) is the two-stage pipeline to enhance the capacity of hidden representation both on long-term dependencies and discriminant feature extraction. Experimental results on multiple datasets validate that the graph contrastive learning method can improve the accuracies of the Transformer-Hawkes process model for predicting heterogeneous event sequences.

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References

  1. Hawkes, A.G.: Spectra of some self-exciting and mutually exciting point processes. Biometrika 58, 83–90 (1971)

    Article  MathSciNet  MATH  Google Scholar 

  2. Isham, V., Westcott, M.: A self-correcting point process. Stoch. Process. App. 8, 335–347 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  3. Xiao, S., et al.: Wasserstein learning of deep generative point process models. In: NIPS (2017)

    Google Scholar 

  4. Li, S., Xiao, S., Zhu, S., Du, N., Xie, Y., Song, L.: Learning temporal point processes via reinforcement learning. arXiv:abs/1811.05016 (2018)

  5. Devlin, J., Chang, M.-W., Lee, K., Toutanova, K.: BERT: pre-training of deep bidirectional transformers for language understanding. arXiv:abs/1810.04805 (2019)

  6. Zuo, S., Jiang, H., Li, Z., Zhao, T., Zha, H.: Transformer Hawkes process. In: ICML (2020)

    Google Scholar 

  7. Bahdanau, D., Cho, K., Bengio, Y.: Neural machine translation by jointly learning to align and translate. arXiv:abs/1409.0473 (2015)

  8. Linsker, R.: Self-organization in a perceptual network. Computer 21, 105–117 (1988)

    Article  Google Scholar 

  9. Wu, M., Zhuang, C., Mosse, M., Yamins, D.L.K., Goodman, N.D.: On mutual information in contrastive learning for visual representations. arXiv:abs/2005.13149 (2020)

  10. Bachman, P., Hjelm, R.D., Buchwalter, W.: Learning representations by maximizing mutual information across views. In: NeurIPS (2019)

    Google Scholar 

  11. Radford, A., Wu, J., Child, R., Luan, D., Amodei, D., Sutskever, I.: Language models are unsupervised multitask learners (2019)

    Google Scholar 

  12. Hjelm, R.D., Fedorov, A., Lavoie-Marchildon, S., Grewal, K., Trischler, A., Bengio, Y.: Learning deep representations by mutual information estimation and maximization. arXiv:abs/1808.06670 (2019)

  13. Hénaff, O.J., et al.: Data-efficient image recognition with contrastive predictive coding. arXiv:abs/1905.09272 (2020)

  14. van den Oord, A., Li, Y., Vinyals, O.: Representation learning with contrastive predictive coding. arXiv:abs/1807.03748 (2018)

  15. Vaswani, A., et al.: Attention is all you need. arXiv:abs/1706.03762 (2017)

  16. Poole, B., Ozair, S., van den Oord, A., Alemi, A.A., Tucker, G.: On variational bounds of mutual information. In: ICML (2019)

    Google Scholar 

  17. Tschannen, M., Djolonga, J., Rubenstein, P.K., Gelly, S., Lucic, M.: On mutual information maximization for representation learning. arXiv:abs/1907.13625 (2020)

  18. Hassani, K., Ahmadi, A.H.K.: Contrastive multi-view representation learning on graphs. arXiv:abs/2006.05582 (2020)

  19. Zhu, Y., Xu, Y., Yu, F., Liu, Q., Wu, S., Wang, L.: Deep graph contrastive representation learning. arXiv:abs/2006.04131 (2020)

  20. Zhu, Y., Xu, Y., Yu, F., Liu, Q., Wu, S., Wang, L.: Graph contrastive learning with adaptive augmentation. In: Proceedings of the Web Conference 2021 (2021)

    Google Scholar 

  21. Du, N., Dai, H., Trivedi, R.S., Upadhyay, U., Gomez-Rodriguez, M., Song, L.: Recurrent marked temporal point processes: Embedding event history to vector. In: Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (2016)

    Google Scholar 

  22. Mei, H., Eisner, J.: The neural Hawkes process: a neurally self-modulating multivariate point process. In: NIPS (2017)

    Google Scholar 

  23. Johnson, A.E.W., et al.: MIMIC-III, a freely accessible critical care database. Sci. Data 3, 1–9 (2016)

    Article  Google Scholar 

  24. Leskovec, J., Krevl, A.: SNAP datasets: Stanford large network dataset collection (2014)

    Google Scholar 

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Correspondence to Jian-wei Liu .

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Cao, Z., Liu, Jw., Cheng, Zh. (2023). Hawkes Process via Graph Contrastive Discriminant Representation Learning and Transformer Capturing Long-Term Dependencies. In: Tanveer, M., Agarwal, S., Ozawa, S., Ekbal, A., Jatowt, A. (eds) Neural Information Processing. ICONIP 2022. Communications in Computer and Information Science, vol 1791. Springer, Singapore. https://doi.org/10.1007/978-981-99-1639-9_5

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  • DOI: https://doi.org/10.1007/978-981-99-1639-9_5

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  • Print ISBN: 978-981-99-1638-2

  • Online ISBN: 978-981-99-1639-9

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