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Published in: Data Mining and Knowledge Discovery 1/2023

15-11-2022

Structural iterative lexicographic autoencoded node representation

Authors: Mikel Joaristi, Edoardo Serra

Published in: Data Mining and Knowledge Discovery | Issue 1/2023

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Abstract

Graph representation learning approaches are effective to automatically extract relevant hidden features from graphs. Previous related work in graph representation learning can be divided into connectivity and structural-based. Connectivity-based representation learning methods work on the assumption that neighboring nodes should have similar representations. While structural node representation learning assumes that nodes with the same structure should have identical representations; structural representation learning is suitable for node classification and regression tasks. Possible drawbacks of current structural node representation learning approaches are prohibitive execution time complexity and the inability to entirely preserve structural information. In this work, we propose SILA, a Structural Iterative Lexicographic Autoencoded approach for node representation learning. This new iterative approach presents a small number of iterations, and compared with the method presented in the literature, shows better performance in preserving structural information for both classification and regression tasks.

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Footnotes
1
The code will be made publicly available after paper acceptance.
 
Literature
go back to reference Bengio Y, Courville A, Vincent P (2013) Representation learning: a review and new perspectives. IEEE Trans Pattern Anal Mach Intell 35(8):1798–1828CrossRef Bengio Y, Courville A, Vincent P (2013) Representation learning: a review and new perspectives. IEEE Trans Pattern Anal Mach Intell 35(8):1798–1828CrossRef
go back to reference Donnat C, Zitnik M, Hallac D, Leskovec J (2018) Learning structural node embeddings via diffusion wavelets. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1320–1329. ACM Donnat C, Zitnik M, Hallac D, Leskovec J (2018) Learning structural node embeddings via diffusion wavelets. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1320–1329. ACM
go back to reference Gilmer J, Schoenholz SS, Riley PF, Vinyals O, Dahl GE (2017) Neural message passing for quantum chemistry. In: International conference on machine learning, pp 1263–1272. PMLR Gilmer J, Schoenholz SS, Riley PF, Vinyals O, Dahl GE (2017) Neural message passing for quantum chemistry. In: International conference on machine learning, pp 1263–1272. PMLR
go back to reference Goodfellow I, Bengio Y, Courville A (2016) Deep learning. MIT Press, CambridgeMATH Goodfellow I, Bengio Y, Courville A (2016) Deep learning. MIT Press, CambridgeMATH
go back to reference Grover A, Leskovec J (2016) node2vec: scalable feature learning for networks. In: Proceedings of the 22nd ACM SIGKDD international conference on Knowledge discovery and data mining, pp 855–864. ACM Grover A, Leskovec J (2016) node2vec: scalable feature learning for networks. In: Proceedings of the 22nd ACM SIGKDD international conference on Knowledge discovery and data mining, pp 855–864. ACM
go back to reference Hamilton W, Ying Z, Leskovec J (2017) Inductive representation learning on large graphs. In: Advances in neural information processing systems, pp 1024–1034 Hamilton W, Ying Z, Leskovec J (2017) Inductive representation learning on large graphs. In: Advances in neural information processing systems, pp 1024–1034
go back to reference Hochreiter S, Schmidhuber J (1997) Long short-term memory. Neural Comput 9(8):1735–1780CrossRef Hochreiter S, Schmidhuber J (1997) Long short-term memory. Neural Comput 9(8):1735–1780CrossRef
go back to reference Leskovec J, Krevl A (2014) Snap datasets: stanford large network dataset collection Leskovec J, Krevl A (2014) Snap datasets: stanford large network dataset collection
go back to reference Meng Q, Catchpoole D, Skillicom D, Kennedy PJ (2017) Relational autoencoder for feature extraction. In: 2017 International joint conference on neural networks (IJCNN), pp 364–371. IEEE Meng Q, Catchpoole D, Skillicom D, Kennedy PJ (2017) Relational autoencoder for feature extraction. In: 2017 International joint conference on neural networks (IJCNN), pp 364–371. IEEE
go back to reference Mikolov T, Chen K, Corrado G, Dean J (2013) Efficient estimation of word representations in vector space. arXiv preprint arXiv:1301.3781 Mikolov T, Chen K, Corrado G, Dean J (2013) Efficient estimation of word representations in vector space. arXiv preprint arXiv:​1301.​3781
go back to reference Mikolov T, Sutskever I, Chen K, Corrado GS, Dean J (2013) Distributed representations of words and phrases and their compositionality. In: Advances in neural information processing systems, pp 3111–3119 Mikolov T, Sutskever I, Chen K, Corrado GS, Dean J (2013) Distributed representations of words and phrases and their compositionality. In: Advances in neural information processing systems, pp 3111–3119
go back to reference Pan S, Hu R, Long G, Jiang J, Yao L, Zhang C (2018) Adversarially regularized graph autoencoder for graph embedding. arXiv preprint arXiv:1802.04407 Pan S, Hu R, Long G, Jiang J, Yao L, Zhang C (2018) Adversarially regularized graph autoencoder for graph embedding. arXiv preprint arXiv:​1802.​04407
go back to reference Pan Y, Li DH, Liu JG, Liang JZ (2010) Detecting community structure in complex networks via node similarity. Physica A 389(14):2849–2857CrossRef Pan Y, Li DH, Liu JG, Liang JZ (2010) Detecting community structure in complex networks via node similarity. Physica A 389(14):2849–2857CrossRef
go back to reference Pedarsani P, Grossglauser M (2011) On the privacy of anonymized networks. In: Proceedings of the 17th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1235–1243. ACM Pedarsani P, Grossglauser M (2011) On the privacy of anonymized networks. In: Proceedings of the 17th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1235–1243. ACM
go back to reference Perozzi B, Al-Rfou R, Skiena S (2014) Deepwalk: Online learning of social representations. In: Proceedings of the 20th ACM SIGKDD international conference on Knowledge discovery and data mining, pp 701–710. ACM Perozzi B, Al-Rfou R, Skiena S (2014) Deepwalk: Online learning of social representations. In: Proceedings of the 20th ACM SIGKDD international conference on Knowledge discovery and data mining, pp 701–710. ACM
go back to reference Ribeiro LF, Saverese PH, Figueiredo DR (2017) struc2vec: Learning node representations from structural identity. In: Proceedings of the 23rd ACM SIGKDD international conference on knowledge discovery and data mining, pp 385–394. ACM Ribeiro LF, Saverese PH, Figueiredo DR (2017) struc2vec: Learning node representations from structural identity. In: Proceedings of the 23rd ACM SIGKDD international conference on knowledge discovery and data mining, pp 385–394. ACM
go back to reference Shervashidze N, Schweitzer P, Van Leeuwen EJ, Mehlhorn K, Borgwardt KM (2011) Weisfeiler-Lehman graph kernels. J Mach Learn Res 12(9):2539–2561MathSciNetMATH Shervashidze N, Schweitzer P, Van Leeuwen EJ, Mehlhorn K, Borgwardt KM (2011) Weisfeiler-Lehman graph kernels. J Mach Learn Res 12(9):2539–2561MathSciNetMATH
go back to reference Sutskever I, Vinyals O, Le QV (2014) Sequence to sequence learning with neural networks. Adv Neural Inf Process Syst 2:3104–3112 Sutskever I, Vinyals O, Le QV (2014) Sequence to sequence learning with neural networks. Adv Neural Inf Process Syst 2:3104–3112
go back to reference Symeonidis P, Tiakas E, Manolopoulos Y (2010) Transitive node similarity for link prediction in social networks with positive and negative links. In: Proceedings of the fourth ACM conference on Recommender systems, pp 183–190. ACM Symeonidis P, Tiakas E, Manolopoulos Y (2010) Transitive node similarity for link prediction in social networks with positive and negative links. In: Proceedings of the fourth ACM conference on Recommender systems, pp 183–190. ACM
go back to reference Tang J, Qu M, Wang M, Zhang M, Yan J, Mei Q (2015) Line: large-scale information network embedding. In: Proceedings of the 24th international conference on world wide web conferences steering committee, pp 1067–1077 Tang J, Qu M, Wang M, Zhang M, Yan J, Mei Q (2015) Line: large-scale information network embedding. In: Proceedings of the 24th international conference on world wide web conferences steering committee, pp 1067–1077
go back to reference Tu K, Cui P, Wang X, Yu PS, Zhu W (2018) Deep recursive network embedding with regular equivalence. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, pp 2357–2366 Tu K, Cui P, Wang X, Yu PS, Zhu W (2018) Deep recursive network embedding with regular equivalence. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, pp 2357–2366
go back to reference Velickovic P, Fedus W, Hamilton WL, Liò P, Bengio Y, Hjelm RD (2019) Deep graph infomax. ICLR (Poster) 2(3):4 Velickovic P, Fedus W, Hamilton WL, Liò P, Bengio Y, Hjelm RD (2019) Deep graph infomax. ICLR (Poster) 2(3):4
go back to reference Weisfeiler B, Leman A (1968) The reduction of a graph to canonical form and the algebgra which appears therein. NTI, Series 2 Weisfeiler B, Leman A (1968) The reduction of a graph to canonical form and the algebgra which appears therein. NTI, Series 2
go back to reference Wold S, Esbensen K, Geladi P (1987) Principal component analysis. Chemom Intell Lab Syst 2(1–3):37–52CrossRef Wold S, Esbensen K, Geladi P (1987) Principal component analysis. Chemom Intell Lab Syst 2(1–3):37–52CrossRef
go back to reference Wu Z, Pan S, Chen F, Long G, Zhang C, Philip SY (2020) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24MathSciNetCrossRef Wu Z, Pan S, Chen F, Long G, Zhang C, Philip SY (2020) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24MathSciNetCrossRef
go back to reference Zachary WW (1977) An information flow model for conflict and fission in small groups. J Anthropol Res 33(4):452–473CrossRef Zachary WW (1977) An information flow model for conflict and fission in small groups. J Anthropol Res 33(4):452–473CrossRef
go back to reference Zhang D, Yin J, Zhu X, Zhang C (2018) Network representation learning: a survey. IEEE Trans Big Data Zhang D, Yin J, Zhu X, Zhang C (2018) Network representation learning: a survey. IEEE Trans Big Data
go back to reference Zhang Z, Cui P, Wang X, Pei J, Yao X, Zhu W (2018) Arbitrary-order proximity preserved network embedding. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, KDD ’18, pp 2778–2786. Association for computing machinery, New York, USA. https://doi.org/10.1145/3219819.3219969 Zhang Z, Cui P, Wang X, Pei J, Yao X, Zhu W (2018) Arbitrary-order proximity preserved network embedding. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, KDD ’18, pp 2778–2786. Association for computing machinery, New York, USA. https://​doi.​org/​10.​1145/​3219819.​3219969
go back to reference Zhou J, Cui G, Zhang Z, Yang C, Liu Z, Wang L, Li C, Sun M (2018) Graph neural networks: a review of methods and applications. arXiv preprint arXiv:1812.08434 Zhou J, Cui G, Zhang Z, Yang C, Liu Z, Wang L, Li C, Sun M (2018) Graph neural networks: a review of methods and applications. arXiv preprint arXiv:​1812.​08434
Metadata
Title
Structural iterative lexicographic autoencoded node representation
Authors
Mikel Joaristi
Edoardo Serra
Publication date
15-11-2022
Publisher
Springer US
Published in
Data Mining and Knowledge Discovery / Issue 1/2023
Print ISSN: 1384-5810
Electronic ISSN: 1573-756X
DOI
https://doi.org/10.1007/s10618-022-00880-x

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