skip to main content
10.1145/3511808.3557291acmconferencesArticle/Chapter ViewAbstractPublication PagescikmConference Proceedingsconference-collections
research-article
Public Access

Dissecting Cross-Layer Dependency Inference on Multi-Layered Inter-Dependent Networks

Authors Info & Claims
Published:17 October 2022Publication History

ABSTRACT

Multi-layered inter-dependent networks have emerged in a wealth of high-impact application domains. Cross-layer dependency inference, which aims to predict the dependencies between nodes across different layers, plays a pivotal role in such multi-layered network systems. Most, if not all, of existing methods exclusively follow a coupling principle of design and can be categorized into the following two groups, including (1) heterogeneous network embedding based methods (data coupling), and (2) collaborative filtering based methods (module coupling). Despite the favorable achievement, methods of both types are faced with two intricate challenges, including (1) the sparsity challenge where very limited observations of cross-layer dependencies are available, resulting in a deteriorated prediction of missing dependencies, and (2) the dynamic challenge given that the multi-layered network system is constantly evolving over time.

In this paper, we first demonstrate that the inability of existing methods to resolve the sparsity challenge roots in the coupling principle from the perspectives of both data coupling and module coupling. Armed with such theoretical analysis, we pursue a new principle where the key idea is to decouple the within-layer connectivity from the observed cross-layer dependencies. Specifically, to tackle the sparsity challenge for static networks, we propose FITO-S, which incorporates a position embedding matrix generated by random walk with restart and the embedding space transformation function. More essentially, the decoupling principle ameliorates the dynamic challenge, which naturally leads to FITO-D, being capable of tracking the inference results in the dynamic setting through incrementally updating the position embedding matrix and fine-tuning the space transformation function. Extensive evaluations on real-world datasets demonstrate the superiority of the proposed framework FITO for cross-layer dependency inference.

References

  1. Federico Battiston, Vincenzo Nicosia, and Vito Latora. 2014. Structural measures for multiplex networks. Physical Review E 89, 3 (2014), 032804.Google ScholarGoogle ScholarCross RefCross Ref
  2. Michele Berlingerio, Michele Coscia, Fosca Giannotti, Anna Monreale, and Dino Pedreschi. 2011. Foundations of multidimensional network analysis. In 2011 international conference on advances in social networks analysis and mining. IEEE, 485--489.Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Sergey V Buldyrev, Roni Parshani, Gerald Paul, H Eugene Stanley, and Shlomo Havlin. 2010. Catastrophic cascade of failures in interdependent networks. Nature 464, 7291 (2010), 1025--1028.Google ScholarGoogle Scholar
  4. Yukuo Cen, Xu Zou, Jianwei Zhang, Hongxia Yang, Jingren Zhou, and Jie Tang. 2019. Representation Learning for Attributed Multiplex Heterogeneous Network. In KDD'2019. ACM, 1358--1368.Google ScholarGoogle Scholar
  5. Chen Chen, Jingrui He, Nadya Bliss, and Hanghang Tong. 2015. On the connectivity of multi-layered networks: Models, measures and optimal control. In 2015 IEEE International Conference on Data Mining. IEEE, 715--720.Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Chen Chen, Jingrui He, Nadya Bliss, and Hanghang Tong. 2017. Towards optimal connectivity on multi-layered networks. IEEE transactions on knowledge and data engineering 29, 10 (2017), 2332--2346.Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Chen Chen, Hanghang Tong, Lei Xie, Lei Ying, and Qing He. 2016. FASCINATE: fast cross-layer dependency inference on multi-layered networks. In KDD'2016. 765--774.Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Chen Chen, Hanghang Tong, Lei Xie, Lei Ying, and Qing He. 2017. Crossdependency inference in multi-layered networks: A collaborative filtering perspective. ACM Transactions on Knowledge Discovery from Data (TKDD) 11, 4 (2017), 1--26.Google ScholarGoogle Scholar
  9. Xiaokai Chu, Xinxin Fan, Di Yao, Zhihua Zhu, Jianhui Huang, and Jingping Bi. 2019. Cross-network embedding for multi-network alignment. In The world wide web conference. 273--284.Google ScholarGoogle Scholar
  10. Yuxiao Dong, Nitesh V Chawla, and Ananthram Swami. 2017. metapath2vec: Scalable representation learning for heterogeneous networks. In KDD'2017. 135--144.Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Boxin Du, Lihui Liu, and Hanghang Tong. 2021. Sylvester Tensor Equation for Multi-Way Association. In Proceedings of the 27th ACM SIGKDD Conference on Knowledge Discovery & Data Mining. 311--321.Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. Boxin Du and Hanghang Tong. 2019. Mrmine: Multi-resolution multi-network embedding. In Proceedings of the 28th ACMInternational Conference on Information and Knowledge Management. 479--488.Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. Boxin Du, Si Zhang, Yuchen Yan, and Hanghang Tong. 2021. New Frontiers of Multi-Network Mining: Recent Developments and Future Trend. In Proceedings of the 27th ACM SIGKDD Conference on Knowledge Discovery & Data Mining. 4038--4039.Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Dongqi Fu, Liri Fang, Ross Maciejewski, Vetle I. Torvik, and Jingrui He. 2022. Meta-Learned Metrics over Multi-Evolution Temporal Graphs. In KDD 2022.Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Dongqi Fu and Jingrui He. 2021. SDG: A Simplified and Dynamic Graph Neural Network. In SIGIR.Google ScholarGoogle Scholar
  16. Dongqi Fu, Zhe Xu, Bo Li, Hanghang Tong, and Jingrui He. 2020. A View- Adversarial Framework for Multi-View Network Embedding. In CIKM.Google ScholarGoogle Scholar
  17. Tao-yang Fu, Wang-Chien Lee, and Zhen Lei. 2017. Hin2vec: Explore meta-paths in heterogeneous information networks for representation learning. In Proceedings of the 2017 ACM on Conference on Information and Knowledge Management. 1797--1806.Google ScholarGoogle Scholar
  18. Jianxi Gao, Sergey V Buldyrev, H Eugene Stanley, and Shlomo Havlin. 2012. Networks formed from interdependent networks. Nature physics 8, 1 (2012), 40--48.Google ScholarGoogle Scholar
  19. Matt W Gardner and SR Dorling. 1998. Artificial neural networks (the multilayer perceptron)-a review of applications in the atmospheric sciences. Atmospheric environment 32, 14--15 (1998), 2627--2636.Google ScholarGoogle Scholar
  20. Xavier Glorot, Antoine Bordes, and Yoshua Bengio. 2011. Deep sparse rectifier neural networks. In Proceedings of the fourteenth international conference on artificial intelligence and statistics. JMLR Workshop and Conference Proceedings, 315--323.Google ScholarGoogle Scholar
  21. Aditya Grover and Jure Leskovec. 2016. node2vec: Scalable feature learning for networks. In KDD'2016. 855--864.Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. William L Hamilton, Rex Ying, and Jure Leskovec. 2017. Inductive representation learning on large graphs. In Proceedings of the 31st International Conference on Neural Information Processing Systems. 1025--1035.Google ScholarGoogle Scholar
  23. Xiangnan He and Tat-Seng Chua. 2017. Neural factorization machines for sparse predictive analytics. In SIGIR. 355--364.Google ScholarGoogle Scholar
  24. Lenwood S. Heath and Allan A. Sioson. 2009. Multimodal Networks: Structure and Operations. IEEE/ACM Trans. Comput. Biol. Bioinformatics 6, 2 (April 2009), 321--332. https://doi.org/10.1109/TCBB.2007.70243Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. Y. Hu, Y. Koren, and C. Volinsky. 2008. Collaborative Filtering for Implicit Feedback Datasets. In 2008 Eighth IEEE International Conference on Data Mining. 263--272. https://doi.org/10.1109/ICDM.2008.22Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Baoyu Jing, Chanyoung Park, and Hanghang Tong. 2021. Hdmi: High-order deep multiplex infomax. In Proceedings of the Web Conference 2021. 2414--2424.Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. Baoyu Jing, Yuejia Xiang, Xi Chen, Yu Chen, and Hanghang Tong. 2021. Graph- MVP: Multi-View Prototypical Contrastive Learning for Multiplex Graphs. arXiv preprint arXiv:2109.03560 (2021).Google ScholarGoogle Scholar
  28. Baoyu Jing, Zeyu You, Tao Yang, Wei Fan, and Hanghang Tong. 2021. Multiplex Graph Neural Network for Extractive Text Summarization. In Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing. 133--139.Google ScholarGoogle ScholarCross RefCross Ref
  29. Thomas N Kipf and MaxWelling. 2016. Semi-supervised classification with graph convolutional networks. arXiv preprint arXiv:1609.02907 (2016).Google ScholarGoogle Scholar
  30. Thomas N. Kipf and Max Welling. 2016. Variational Graph Auto-Encoders. arXiv:stat.ML/1611.07308Google ScholarGoogle Scholar
  31. Qimai Li, Zhichao Han, and Xiao-Ming Wu. 2018. Deeper insights into graph convolutional networks for semi-supervised learning. In Thirty-Second AAAI conference on artificial intelligence.Google ScholarGoogle ScholarCross RefCross Ref
  32. Yanen Li, Jia Hu, Cheng Xiang Zhai, and Ye Chen. 2010. Improving One-Class Collaborative Filtering by Incorporating Rich User Information. In Proceedings of the 19th ACM International Conference on Information and Knowledge Management (CIKM '10). Association for Computing Machinery, New York, NY, USA, 959--968. https://doi.org/10.1145/1871437.1871559Google ScholarGoogle ScholarDigital LibraryDigital Library
  33. Qiao Liu, Chen Chen, Annie Gao, Hang Hang Tong, and Lei Xie. 2017. VariFunNet, an integrated multiscale modeling framework to study the effects of rare noncoding variants in genome-wide association studies: Applied to Alzheimer's disease. In 2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM). IEEE, 2177--2182.Google ScholarGoogle ScholarCross RefCross Ref
  34. Yuanfu Lu, Chuan Shi, Linmei Hu, and Zhiyuan Liu. 2019. Relation structure aware heterogeneous information network embedding. In Proceedings of the AAAI Conference on Artificial Intelligence, Vol. 33. 4456--4463.Google ScholarGoogle ScholarDigital LibraryDigital Library
  35. Tomas Mikolov, Kai Chen, Greg Corrado, and Jeffrey Dean. 2013. Efficient estimation of word representations in vector space. arXiv preprint arXiv:1301.3781 (2013).Google ScholarGoogle Scholar
  36. Lawrence Page, Sergey Brin, Rajeev Motwani, and Terry Winograd. 1999. The PageRank citation ranking: Bringing order to the web. Technical Report. Stanford InfoLab.Google ScholarGoogle Scholar
  37. Rong Pan, Yunhong Zhou, Bin Cao, Nathan N Liu, Rajan Lukose, Martin Scholz, and Qiang Yang. 2008. One-class collaborative filtering. In 2008 Eighth IEEE International Conference on Data Mining. IEEE, 502--511.Google ScholarGoogle ScholarDigital LibraryDigital Library
  38. Chanyoung Park, Donghyun Kim, Jiawei Han, and Hwanjo Yu. 2020. Unsupervised attributed multiplex network embedding. In Proceedings of the AAAI Conference on Artificial Intelligence, Vol. 34. 5371--5378.Google ScholarGoogle ScholarCross RefCross Ref
  39. Roni Parshani, Sergey V Buldyrev, and Shlomo Havlin. 2010. Interdependent networks: Reducing the coupling strength leads to a change from a first to second order percolation transition. Physical review letters 105, 4 (2010), 048701.Google ScholarGoogle Scholar
  40. Bryan Perozzi, Rami Al-Rfou, and Steven Skiena. 2014. Deepwalk: Online learning of social representations. In KDD'2014. 701--710.Google ScholarGoogle ScholarDigital LibraryDigital Library
  41. Jiezhong Qiu, Yuxiao Dong, Hao Ma, Jian Li, Kuansan Wang, and Jie Tang. 2018. Network embedding as matrix factorization: Unifying deepwalk, line, pte, and node2vec. In WSDM. 459--467.Google ScholarGoogle Scholar
  42. Steffen Rendle, Christoph Freudenthaler, Zeno Gantner, and Lars Schmidt-Thieme. 2012. BPR: Bayesian personalized ranking from implicit feedback. arXiv preprint arXiv:1205.2618 (2012).Google ScholarGoogle Scholar
  43. Ajit P Singh and Geoffrey J Gordon. 2008. Relational learning via collective matrix factorization. In KDD'2008. 650--658.Google ScholarGoogle ScholarCross RefCross Ref
  44. Jian Tang, Meng Qu, Mingzhe Wang, Ming Zhang, Jun Yan, and Qiaozhu Mei. 2015. Line: Large-scale information network embedding. In WWW. 1067--1077.Google ScholarGoogle ScholarDigital LibraryDigital Library
  45. Hanghang Tong, Christos Faloutsos, and Jia-Yu Pan. 2006. Fast random walk with restart and its applications. In Sixth international conference on data mining (ICDM'06). IEEE, 613--622.Google ScholarGoogle ScholarDigital LibraryDigital Library
  46. Petar Veličković, Guillem Cucurull, Arantxa Casanova, Adriana Romero, Pietro Lio, and Yoshua Bengio. 2017. Graph attention networks. arXiv preprint arXiv:1710.10903 (2017).Google ScholarGoogle Scholar
  47. RuijieWang, Zijie Huang, Shengzhong Liu, Huajie Shao, Dongxin Liu, Jinyang Li, Tianshi Wang, Dachun Sun, Shuochao Yao, and Tarek Abdelzaher. 2021. Dydiffvae: A dynamic variational framework for information diffusion prediction. In Proceedings of the 44th International ACM SIGIR Conference on Research and Development in Information Retrieval. 163--172.Google ScholarGoogle Scholar
  48. Ruijie Wang, Zheng Li, Danqing Zhang, Qingyu Yin, Tong Zhao, Bing Yin, and Tarek Abdelzaher. 2022. RETE: Retrieval-Enhanced Temporal Event Forecasting on Unified Query Product Evolutionary Graph. In Proceedings of the ACM Web Conference 2022. 462--472.Google ScholarGoogle ScholarDigital LibraryDigital Library
  49. Ruijie Wang, Yuchen Yan, Jialu Wang, Yuting Jia, Ye Zhang, Weinan Zhang, and Xinbing Wang. 2018. Acekg: A large-scale knowledge graph for academic data mining. In Proceedings of the 27th ACM international conference on information and knowledge management. 1487--1490.Google ScholarGoogle ScholarDigital LibraryDigital Library
  50. Xiang Wang, Tinglin Huang, Dingxian Wang, Yancheng Yuan, Zhenguang Liu, Xiangnan He, and Tat-Seng Chua. 2021. Learning Intents behind Interactions with Knowledge Graph for Recommendation. In Proceedings of the Web Conference 2021. 878--887.Google ScholarGoogle ScholarDigital LibraryDigital Library
  51. Yueyang Wang, Ziheng Duan, Binbing Liao, Fei Wu, and Yueting Zhuang. 2019. Heterogeneous attributed network embedding with graph convolutional networks. In Proceedings of the AAAI Conference on Artificial Intelligence, Vol. 33. 10061--10062.Google ScholarGoogle ScholarDigital LibraryDigital Library
  52. Xin Xin, Xiangnan He, Yongfeng Zhang, Yongdong Zhang, and Joemon Jose. 2019. Relational collaborative filtering: Modeling multiple item relations for recommendation. In Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval. 125--134.Google ScholarGoogle ScholarDigital LibraryDigital Library
  53. Hao Xiong, Junchi Yan, and Li Pan. 2021. Contrastive Multi-View Multiplex Network Embedding with Applications to Robust Network Alignment. In KDD'2021. 1913--1923.Google ScholarGoogle ScholarDigital LibraryDigital Library
  54. Yuchen Yan, Lihui Liu, Yikun Ban, Baoyu Jing, and Hanghang Tong. 2021. Dynamic knowledge graph alignment. In Proceedings of the AAAI Conference on Artificial Intelligence, Vol. 35. 4564--4572.Google ScholarGoogle ScholarCross RefCross Ref
  55. Carl Yang, Yuxin Xiao, Yu Zhang, Yizhou Sun, and Jiawei Han. 2020. Heterogeneous network representation learning: A unified framework with survey and benchmark. IEEE Transactions on Knowledge and Data Engineering (2020).Google ScholarGoogle ScholarDigital LibraryDigital Library
  56. Yuan Yao, Hanghang Tong, Guo Yan, Feng Xu, Xiang Zhang, Boleslaw K Szymanski, and Jian Lu. 2014. Dual-regularized one-class collaborative filtering. In CIKM. 759--768.Google ScholarGoogle Scholar
  57. Minji Yoon, Woojeong Jin, and U Kang. 2018. Fast and accurate random walk with restart on dynamic graphs with guarantees. In Proceedings of the 2018 World Wide Web Conference. 409--418.Google ScholarGoogle ScholarDigital LibraryDigital Library
  58. Hongming Zhang, Liwei Qiu, Lingling Yi, and Yangqiu Song. 2018. Scalable Multiplex Network Embedding. In IJCAI, Vol. 18. 3082--3088.Google ScholarGoogle Scholar
  59. Si Zhang, Hanghang Tong, Yinglong Xia, Liang Xiong, and Jiejun Xu. 2020. Nettrans: Neural cross-network transformation. In KDD'2020. 986--996.Google ScholarGoogle ScholarDigital LibraryDigital Library
  60. Dawei Zhou, Lecheng Zheng, Jiawei Han, and Jingrui He. 2020. A data-driven graph generative model for temporal interaction networks. In Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining. 401--411.Google ScholarGoogle ScholarDigital LibraryDigital Library
  61. Dawei Zhou, Lecheng Zheng, Jiejun Xu, and Jingrui He. 2019. Misc-GAN: A multi-scale generative model for graphs. Frontiers in big Data 2 (2019), 3.Google ScholarGoogle Scholar
  62. Fan Zhou, Lei Liu, Kunpeng Zhang, Goce Trajcevski, Jin Wu, and Ting Zhong. 2018. Deeplink: A deep learning approach for user identity linkage. In IEEE INFOCOM 2018-IEEE Conference on Computer Communications. IEEE, 1313--1321.Google ScholarGoogle ScholarDigital LibraryDigital Library
  63. Qinghai Zhou, Liangyue Li, Nan Cao, Lei Ying, and Hanghang Tong. 2019. ADMIRING: Adversarial multi-network mining. In 2019 IEEE International Conference on Data Mining (ICDM). IEEE, 1522--1527.Google ScholarGoogle ScholarCross RefCross Ref
  64. Qinghai Zhou, Liangyue Li, Nan Cao, Lei Ying, and Hanghang Tong. 2021. Adversarial Attacks on Multi-Network Mining: Problem Definition and Fast Solutions. IEEE Transactions on Knowledge and Data Engineering (2021).Google ScholarGoogle Scholar
  65. Qinghai Zhou, Liangyue Li, Xintao Wu, Nan Cao, Lei Ying, and Hanghang Tong. 2021. Attent: Active attributed network alignment. In Proceedings of the Web Conference 2021. 3896--3906.Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Dissecting Cross-Layer Dependency Inference on Multi-Layered Inter-Dependent Networks

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in
    • Published in

      cover image ACM Conferences
      CIKM '22: Proceedings of the 31st ACM International Conference on Information & Knowledge Management
      October 2022
      5274 pages
      ISBN:9781450392365
      DOI:10.1145/3511808
      • General Chairs:
      • Mohammad Al Hasan,
      • Li Xiong

      Copyright © 2022 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 17 October 2022

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • research-article

      Acceptance Rates

      CIKM '22 Paper Acceptance Rate621of2,257submissions,28%Overall Acceptance Rate1,861of8,427submissions,22%

      Upcoming Conference

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader