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Tensor decomposition for analysing time-evolving social networks: an overview

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Abstract

Social networks are becoming larger and more complex as new ways of collecting social interaction data arise (namely from online social networks, mobile devices sensors, ...). These networks are often large-scale and of high dimensionality. Therefore, dealing with such networks became a challenging task. An intuitive way to deal with this complexity is to resort to tensors. In this context, the application of tensor decomposition has proven its usefulness in modelling and mining these networks: it has not only been applied for exploratory analysis (thus allowing the discovery of interaction patterns), but also for more demanding and elaborated tasks such as community detection and link prediction. In this work, we provide an overview of the methods based on tensor decomposition for the purpose of analysing time-evolving social networks from various perspectives: from community detection, link prediction and anomaly/event detection to network summarization and visualization. In more detail, we discuss the ideas exploited to carry out each social network analysis task as well as its limitations in order to give a complete coverage of the topic.

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References

  • Acar E, Kolda TG, Dunlavy DM (2011) All-at-once optimization for coupled matrix and tensor factorizations. arXiv preprint arXiv:11053422

  • Ahn KJ, Guha S, McGregor A (2012) Graph sketches: sparsification, spanners, and subgraphs. In: Proceedings of the 31st ACM SIGMOD-SIGACT-SIGAI symposium on principles of database systems, pp 5–14

  • Akoglu L, Tong H, Koutra D (2015) Graph based anomaly detection and description: a survey. Data Min Knowl Discov 29(3):626–688

    MathSciNet  Google Scholar 

  • Al-Sharoa E, Al-khassaweneh M, Aviyente S (2017) A tensor based framework for community detection in dynamic networks. In: 2017 IEEE international conference on acoustics, speech and signal processing (ICASSP). IEEE, pp 2312–2316

  • Andersson CA, Bro R (2000) The n-way toolbox for matlab. Chemom Intell Lab Syst 52(1):1–4

    Google Scholar 

  • Araujo MR, Ribeiro PMP, Faloutsos C (2017) Tensorcast: forecasting with context using coupled tensors (best paper award). In: 2017 IEEE international conference on data mining (ICDM). IEEE, pp 71–80

  • Araujo M, Papadimitriou S, Günnemann S, Faloutsos C, Basu P, Swami A, Papalexakis EE, Koutra D (2014) Com2: fast automatic discovery of temporal (‘comet’) communities. In: Pacific-Asia conference on knowledge discovery and data mining. Springer, pp 271–283

  • Austin W, Ballard G, Kolda TG (2016) Parallel tensor compression for large-scale scientific data. In: 2016 IEEE international parallel and distributed processing symposium. IEEE, pp 912–922

  • Bader BW, Harshman RA, Kolda TG (2007) Temporal analysis of semantic graphs using asalsan. In: ICDM. IEEE, pp 33–42

  • Bader BW, Kolda TG (2008) Efficient matlab computations with sparse and factored tensors. SIAM J Sci Comput 30(1):205–231

    MathSciNet  MATH  Google Scholar 

  • Bak P, Paczuski M, Shubik M (1996) Price variations in a stock market with many agents. arXiv preprint arXiv:cond-mat/9609144

  • Barabási AL, Albert R (1999) Emergence of scaling in random networks. Science 286(5439):509–512

    MathSciNet  MATH  Google Scholar 

  • Bauer F, Lizier JT (2012) Identifying influential spreaders and efficiently estimating infection numbers in epidemic models: a walk counting approach. EPL (Europhys Lett) 99(6):68007

    Google Scholar 

  • Beutel A, Talukdar PP, Kumar A, Faloutsos C, Papalexakis EE, Xing EP (2014) Flexifact: scalable flexible factorization of coupled tensors on hadoop. In: Proceedings of the 2014 SIAM international conference on data mining. SIAM, pp 109–117

  • Billio M, Getmansky M, Lo AW, Pelizzon L (2012) Econometric measures of connectedness and systemic risk in the finance and insurance sectors. J Financ Econ 104(3):535–559

    Google Scholar 

  • Boldi P, Vigna S (2004) The webgraph framework I: compression techniques. In: Proceedings of the 13th international conference on World Wide Web. ACM, pp 595–602

  • Boyd S, Parikh N, Chu E, Peleato B, Eckstein J et al (2011) Distributed optimization and statistical learning via the alternating direction method of multipliers. Found Trends Mach Learn 3(1):1–122

    MATH  Google Scholar 

  • Brett W, Bader TGK et al (2020) Matlab tensor toolbox, version. https://www.tensortoolbox.org

  • Bro R, De Jong S (1997) A fast non-negativity-constrained least squares algorithm. J Chemom J Chemom Soc 11(5):393–401

    Google Scholar 

  • Bro R, Kiers HA (2003) A new efficient method for determining the number of components in parafac models. J Chemom J Chemom Soc 17(5):274–286

    Google Scholar 

  • Brunetti C, Harris JH, Mankad S, Michailidis G (2019) Interconnectedness in the interbank market. J Financ Econ 133(2):520–538

    Google Scholar 

  • Carroll JD, Chang JJ (1970) Analysis of individual differences in multidimensional scaling via an n-way generalization of “eckart-young” decomposition. Psychometrika 35(3):283–319

    MATH  Google Scholar 

  • Ceulemans E, Kiers HA (2006) Selecting among three-mode principal component models of different types and complexities: a numerical convex hull based method. Br J Math Stat Psychol 59(1):133–150

    MathSciNet  Google Scholar 

  • Chen H, Chung W, Qin J, Reid E, Sageman M, Weimann G (2008) Uncovering the dark web: a case study of jihad on the web. J Am Soc Inf Sci Technol 59(8):1347–1359

    Google Scholar 

  • Chi EC, Kolda TG (2012) On tensors, sparsity, and nonnegative factorizations. SIAM J Matrix Anal Appl 33(4):1272–1299

    MathSciNet  MATH  Google Scholar 

  • Choi JH, Vishwanathan S (2014) Dfacto: distributed factorization of tensors. In: Advances in neural information processing systems, pp 1296–1304

  • da Silva Fernandes S, Tork HF, da Gama JMP (2017) The initialization and parameter setting problem in tensor decomposition-based link prediction. In: 2017 IEEE international conference on data science and advanced analytics (DSAA), pp 99–108

  • Drineas P, Mahoney MW (2007) A randomized algorithm for a tensor-based generalization of the singular value decomposition. Linear Algebra Appl 420(2–3):553–571

    MathSciNet  MATH  Google Scholar 

  • Dunlavy DM, Kolda TG, Acar E (2011) Temporal link prediction using matrix and tensor factorizations. ACM Trans Knowl Discov Data (TKDD) 5(2):10

    Google Scholar 

  • Erdos D, Miettinen P (2013) Discovering facts with Boolean tensor tucker decomposition. In: Proceedings of the 22nd ACM international conference on conference on information and knowledge management. ACM, pp 1569–1572

  • Faloutsos M, Faloutsos P, Faloutsos C (1999) On power-law relationships of the internet topology. SIGCOMM Comput Commun Rev 29(4):251–262

    MATH  Google Scholar 

  • Fanaee-T H, Gama J (2016a) Event detection from traffic tensors: a hybrid model. Neurocomputing 203:22–33

    Google Scholar 

  • Fanaee-T H, Gama J (2016b) Tensor-based anomaly detection: an interdisciplinary survey. Knowl Based Syst 98:130–147

    Google Scholar 

  • Fernandes S, Fanaee-T H, Gama J (2018) Dynamic graph summarization: a tensor decomposition approach. Data Min Knowl Discov 32(5):1397–1420

    MathSciNet  Google Scholar 

  • Fernandes S, Fanaee-T H, Gama J (2019) Evolving social networks analysis via tensor decompositions: from global event detection towards local pattern discovery and specification. In: International conference on discovery science. Springer, pp 385–395

  • Ferrara E, De Meo P, Catanese S, Fiumara G (2014) Detecting criminal organizations in mobile phone networks. Expert Syst Appl 41(13):5733–5750

    Google Scholar 

  • Fortunato S (2010) Community detection in graphs. Phys Rep 486(3–5):75–174

    MathSciNet  Google Scholar 

  • Gahrooei MR, Paynabar K (2018) Change detection in a dynamic stream of attributed networks. J Qual Technol 50(4):418–430

    Google Scholar 

  • Gauvin L, Panisson A, Cattuto C (2014) Detecting the community structure and activity patterns of temporal networks: a non-negative tensor factorization approach. PloS ONE 9(1):e86028

    Google Scholar 

  • Génois M, Vestergaard CL, Fournet J, Panisson A, Bonmarin I, Barrat A (2015) Data on face-to-face contacts in an office building suggest a low-cost vaccination strategy based on community linkers. Netw Sci 3:326–347

    Google Scholar 

  • Goldfarb D, Qin Z (2014) Robust low-rank tensor recovery: models and algorithms. SIAM J Matrix Anal Appl 35(1):225–253

    MathSciNet  MATH  Google Scholar 

  • Goñi J, Esteban FJ, de Mendizábal NV, Sepulcre J, Ardanza-Trevijano S, Agirrezabal I, Villoslada P (2008) A computational analysis of protein-protein interaction networks in neurodegenerative diseases. BMC Syst Biol 2(1):52

    Google Scholar 

  • Görlitz O, Sizov S, Staab S (2008) Pints: peer-to-peer infrastructure for tagging systems. In: IPTPS, p 19

  • Gorovits A, Gujral E, Papalexakis EE, Bogdanov P (2018) Larc: learning activity-regularized overlapping communities across time. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining. ACM, pp 1465–1474

  • Grünwald PD (2007) The minimum description length principle. MIT Press, Cambridge

    Google Scholar 

  • Harshman RA (1970) Foundations of the PARAFAC procedure: models and conditions for an “explanatory” multi-modal factor analysis. In: UCLA working papers in phonetics, vol 16, no 1, p 84

  • Heiberger RH (2018) Predicting economic growth with stock networks. Phys Stat Mech Appl 489:102–111

    Google Scholar 

  • Hitchcock FL (1927) The expression of a tensor or a polyadic as a sum of products. J Math Phys 6(1–4):164–189

    MATH  Google Scholar 

  • Isella L, Stehlé J, Barrat A, Cattuto C, Pinton JF, Van den Broeck W (2011) What’s in a crowd? Analysis of face-to-face behavioral networks. J Theor Biol 271(1):166–180

    MathSciNet  MATH  Google Scholar 

  • Jeon I, Papalexakis EE, Kang U, Faloutsos C (2015) Haten2: billion-scale tensor decompositions. In: 2015 IEEE 31st international conference on data engineering (ICDE). IEEE, pp 1047–1058

  • Jeon B, Jeon I, Sael L, Kang U (2016) Scout: scalable coupled matrix-tensor factorization-algorithm and discoveries. In: IEEE 32nd international conference on data engineering (ICDE), 2016. IEEE, pp 811–822

  • Jordán F, Nguyen TP, Wc L (2012) Studying protein–protein interaction networks: a systems view on diseases. Brief Funct Genom 11(6):497–504

    Google Scholar 

  • Kang U, Papalexakis E, Harpale A, Faloutsos C (2012) Gigatensor: scaling tensor analysis up by 100 times-algorithms and discoveries. In: Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, pp 316–324

  • Keeling MJ, Eames KT (2005) Networks and epidemic models. J R Soc Interface 2(4):295–307

    Google Scholar 

  • Kiers HA (1993) An alternating least squares algorithm for parafac2 and three-way dedicom. Comput Stat Data Anal 16(1):103–118

    MathSciNet  MATH  Google Scholar 

  • Kiers HAL (2000) Towards a standardized notation and terminology in multiway analysis. J Chemom 14(3):105–122

    MathSciNet  Google Scholar 

  • Kiers HA, Kinderen A (2003) A fast method for choosing the numbers of components in tucker3 analysis. Br J Math Stat Psychol 56(1):119–125

    MathSciNet  Google Scholar 

  • Kolda TG, Sun J (2008) Scalable tensor decompositions for multi-aspect data mining. In: Eighth IEEE international conference on data mining, 2008. ICDM’08. IEEE, pp 363–372

  • Kolda TG, Bader BW (2009) Tensor decompositions and applications. SIAM Rev 51(3):455–500

    MathSciNet  MATH  Google Scholar 

  • Kossaifi J, Panagakis Y, Anandkumar A, Pantic M (2019) Tensorly: tensor learning in python. J Mach Learn Res 20(1):925–930

    MATH  Google Scholar 

  • Koutra D, Papalexakis EE, Faloutsos C (2012) Tensorsplat: spotting latent anomalies in time. In: 2012 16th Panhellenic conference on informatics (PCI). IEEE, pp 144–149

  • Kwak H, Lee C, Park H, Moon S (2010) What is twitter, a social network or a news media? In: Proceedings of the 19th international conference on World wide web. ACM, pp 591–600

  • LeFevre K, Terzi E (2010) Grass: graph structure summarization. In: Proceedings of the 2010 SIAM international conference on data mining. SIAM, pp 454–465

  • Leskovec J, Adamic LA, Huberman BA (2007) The dynamics of viral marketing. ACM Trans Web (TWEB) 1(1):5

    Google Scholar 

  • Leskovec J, Kleinberg J, Faloutsos C (2005) Graphs over time: densification laws, shrinking diameters and possible explanations. In: Proceedings of the eleventh ACM SIGKDD international conference on Knowledge discovery in data mining. ACM, pp 177–187

  • Leskovec J, Mcauley JJ (2012) Learning to discover social circles in ego networks. In: Advances in neural information processing systems, pp 539–547

  • Ley M (2002) The dblp computer science bibliography: evolution, research issues, perspectives. In: International symposium on string processing and information retrieval. Springer, pp 1–10

  • Li J, Bien J, Wells M, Li MJ (2018) Package ‘rtensor’. J Stat Softw 87:1–31

    Google Scholar 

  • Lin YR, Sun J, Castro P, Konuru R, Sundaram H, Kelliher A (2009) Metafac: community discovery via relational hypergraph factorization. In: Proceedings of the 15th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, pp 527–536

  • Liu J, Musialski P, Wonka P, Ye J (2013) Tensor completion for estimating missing values in visual data. IEEE Trans Pattern Anal Mach Intell 35(1):208–220

    Google Scholar 

  • Liu K, Da Costa JPCL, So HC, Huang L, Ye J (2016) Detection of number of components in candecomp/parafac models via minimum description length. Digit Signal Process Rev J 51:110–123

    MathSciNet  Google Scholar 

  • Liu Y, Safavi T, Dighe A, Koutra D (2018) Graph summarization methods and applications: a survey. ACM Comput Surv (CSUR) 51(3):62

    Google Scholar 

  • Lü L, Zhou T (2011) Link prediction in complex networks: a survey. Phys Stat Mech Appl 390(6):1150–1170

    Google Scholar 

  • Ma X, Dong D (2017) Evolutionary nonnegative matrix factorization algorithms for community detection in dynamic networks. IEEE Trans Knowl Data Eng 29(5):1045–1058

    Google Scholar 

  • Mankad S, Michailidis G (2013) Structural and functional discovery in dynamic networks with non-negative matrix factorization. Phys Rev E 88(4):042812

    Google Scholar 

  • Maruhashi K, Guo F, Faloutsos C (2011) Multiaspectforensics: pattern mining on large-scale heterogeneous networks with tensor analysis. In: 2011 International conference on advances in social networks analysis and mining (ASONAM). IEEE, pp 203–210

  • Mastrandrea R, Fournet J, Barrat A (2015) Contact patterns in a high school: a comparison between data collected using wearable sensors, contact diaries and friendship surveys. PloS ONE 10(9):e0136497

    Google Scholar 

  • Matsubara Y, Sakurai Y, Faloutsos C, Iwata T, Yoshikawa M (2012) Fast mining and forecasting of complex time-stamped events. In: Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, pp 271–279

  • Michalski R, Palus S, Kazienko P (2011) Matching organizational structure and social network extracted from email communication. In: Lecture notes in business information processing, vol 87. Springer, Berlin, pp 197–206

  • Milgram S (1967) The small world problem. Psychol Today 2:60–67

    Google Scholar 

  • Mørup M, Hansen LK (2009) Automatic relevance determination for multi-way models. J Chemom 23(7–8):352–363

    Google Scholar 

  • Mørup M, Hansen LK, Arnfred SM (2008) Algorithms for sparse nonnegative tucker decompositions. Neural Comput 20(8):2112–2131

    MATH  Google Scholar 

  • Oliveira M, Gama J (2011) Visualizing the evolution of social networks. In: Portuguese conference on artificial intelligence. Springer, pp 476–490

  • Papalexakis EE (2016) Automatic unsupervised tensor mining with quality assessment. In: Proceedings of the 2016 SIAM international conference on data mining. SIAM, pp 711–719

  • Papalexakis EE, Faloutsos C (2015) Fast efficient and scalable core consistency diagnostic for the parafac decomposition for big sparse tensors. In: ICASSP, pp 5441–5445

  • Papalexakis EE, Faloutsos C, Sidiropoulos ND (2012) Parcube: sparse parallelizable tensor decompositions. In: Joint European conference on machine learning and knowledge discovery in databases. Springer, pp 521–536

  • Papalexakis EE, Sidiropoulos ND, Bro R (2013) From k-means to higher-way co-clustering: multilinear decomposition with sparse latent factors. IEEE Trans Signal Process 61(2):493–506

    Google Scholar 

  • Papalexakis EE, Faloutsos C, Sidiropoulos ND (2016) Tensors for data mining and data fusion: models, applications, and scalable algorithms. ACM Trans Intell Syst Technol 8(2):1–44

    Google Scholar 

  • Papalexakis E, Pelechrinis K, Faloutsos C (2014) Spotting misbehaviors in location-based social networks using tensors. In: Proceedings of the 23rd international conference on world wide web. ACM, pp 551–552

  • Park N, Jeon B, Lee J, Kang U (2016) Bigtensor: mining billion-scale tensor made easy. In: Proceedings of the 25th ACM international on conference on information and knowledge management. ACM, pp 2457–2460

  • Pasricha R, Gujral E, Papalexakis EE (2018) Identifying and alleviating concept drift in streaming tensor decomposition. arXiv preprint arXiv:180409619

  • Pavlopoulos GA, Secrier M, Moschopoulos CN, Soldatos TG, Kossida S, Aerts J, Schneider R, Bagos PG (2011) Using graph theory to analyze biological networks. BioData Min 4(1):1–27

    Google Scholar 

  • Peng W, Li T (2011) Temporal relation co-clustering on directional social network and author-topic evolution. Knowl Inf Syst 26(3):467–486

    Google Scholar 

  • Phan AH, Cichocki A (2011) Parafac algorithms for large-scale problems. Neurocomputing 74(11):1970–1984

    Google Scholar 

  • Priebe CE, Conroy JM, Marchette DJ, Park Y (2005) Scan statistics on enron graphs. Comput Math Organ Theory 11(3):229–247

    MATH  Google Scholar 

  • Ranshous S, Shen S, Koutra D, Harenberg S, Faloutsos C, Samatova NF (2015) Anomaly detection in dynamic networks: a survey. Wiley Interdiscip Rev Comput Stat 7(3):223–247

    MathSciNet  Google Scholar 

  • Rayana S, Akoglu L (2014) An ensemble approach for event detection and characterization in dynamic graphs. In: Proceedings of the 2nd ACM SIGKDD workshop on outlier detection and description under data diversity (ODD)

  • Rossetti G, Cazabet R (2018) Community discovery in dynamic networks: a survey. ACM Comput Surv (CSUR) 51(2):35

    Google Scholar 

  • Sapienza A, Panisson A, Wu J, Gauvin L, Cattuto C (2015) Anomaly detection in temporal graph data: an iterative tensor decomposition and masking approach. In: International workshop on advanced analytics and learning on temporal data AALTD, Porto. ECML PKDD, Portugal

  • Shah N, Koutra D, Zou T, Gallagher B, Faloutsos C (2015) Timecrunch: interpretable dynamic graph summarization. In: Proceedings of the 21th ACM SIGKDD international conference on knowledge discovery and data mining. ACM, pp 1055–1064

  • Shashua A, Hazan T (2005) Non-negative tensor factorization with applications to statistics and computer vision. In: Proceedings of the 22nd international conference on Machine learning. ACM, pp 792–799

  • Sheikholeslami F, Giannakis GB (2017) Identification of overlapping communities via constrained egonet tensor decomposition. arXiv preprint arXiv:170704607

  • Shi L, Gangopadhyay A, Janeja VP (2015) Stensr: spatio-temporal tensor streams for anomaly detection and pattern discovery. Knowl Inf Syst 43(2):333–353

    Google Scholar 

  • Sidiropoulos ND, De Lathauwer L, Fu X, Huang K, Papalexakis EE, Faloutsos C (2017) Tensor decomposition for signal processing and machine learning. IEEE Trans Signal Process 65(13):3551–3582

    MathSciNet  MATH  Google Scholar 

  • Spiegel S, Clausen J, Albayrak S, Kunegis J (2011) Link prediction on evolving data using tensor factorization. In: New frontiers in applied data mining. Springer, pp 100–110

  • Sun J, Tao D, Papadimitriou S, Yu PS, Faloutsos C (2008) Incremental tensor analysis: theory and applications. ACM Trans Knowl Discov Data 2(3):11:1–11:37

    Google Scholar 

  • Sun J, Papadimitriou S, Lin CY, Cao N, Liu S, Qian W (2009) Multivis: content-based social network exploration through multi-way visual analysis. In: Proceedings of the 2009 SIAM international conference on data mining. SIAM, pp 1064–1075

  • Sun J, Tao D, Faloutsos C (2006) Beyond streams and graphs: dynamic tensor analysis. In: Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, pp 374–383

  • Tabassum S, Pereira FSF, Fernandes S, Gama J (2018) Social network analysis: an overview. Wiley Interdiscip Rev Data Min Knowl Discov 8(5):e1256

    Google Scholar 

  • Tan H, Feng G, Feng J, Wang W, Zhang YJ, Li F (2013a) A tensor-based method for missing traffic data completion. Transp Res C Emerg Technol 28:15–27

    Google Scholar 

  • Tan H, Feng J, Feng G, Wang W, Zhang YJ (2013b) Traffic volume data outlier recovery via tensor model. Math Probl Eng 2013. https://doi.org/10.1155/2013/164810

  • Tang J, Sun J, Wang C, Yang Z (2009) Social influence analysis in large-scale networks. In: Proceedings of the 15th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, pp 807–816

  • Timmerman ME, Kiers HA (2000) Three-mode principal components analysis: choosing the numbers of components and sensitivity to local optima. Br J Math Stat Psychol 53(1):1–16

    Google Scholar 

  • Tsalouchidou I, Bonchi F, Morales GDF, Baeza-Yates R (2018) Scalable dynamic graph summarization. IEEE Trans Knowl Data Eng 32(2):360–373

    Google Scholar 

  • Tucker LR (1966) Some mathematical notes on three-mode factor analysis. Psychometrika 31(3):279–311

    MathSciNet  Google Scholar 

  • Vanhems P, Barrat A, Cattuto C, Pinton JF, Khanafer N, Régis C, Ba K, Comte B, Voirin N (2013) Estimating potential infection transmission routes in hospital wards using wearable proximity sensors. PloS ONE 8(9):e73970

    Google Scholar 

  • Vervliet N, Debals O, Sorber L, Van Barel M, De Lathauwer L (2016) Tensorlab 3.0. https://www.tensorlab.net

  • Viswanath B, Mislove A, Cha M, Gummadi KP (2009) On the evolution of user interaction in facebook. In: Proceedings of the 2nd ACM SIGCOMM workshop on social networks (WOSN’09)

  • Von Luxburg U (2007) A tutorial on spectral clustering. Stat Comput 17(4):395–416

    MathSciNet  Google Scholar 

  • Wang P, Xu B, Wu Y, Zhou X (2015) Link prediction in social networks: the state-of-the-art. Sci China Inf Sci 58(1):1–38

    Google Scholar 

  • Xie K, Li X, Wang X, Xie G, Wen J, Cao J, Zhang D (2017) Fast tensor factorization for accurate internet anomaly detection. IEEE/ACM Trans Netw 25(6):3794–3807

    Google Scholar 

  • Xu J, Chen H (2005) Criminal network analysis and visualization. Commun ACM 48(6):100–107

    Google Scholar 

  • Zou B, Li C, Tan L, Chen H (2015) Gputensor: efficient tensor factorization for context-aware recommendations. Inf Sci 299:159–177

    Google Scholar 

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Acknowledgements

This work is financed by National Funds through the Portuguese funding agency, FCT - Fundação para a Ciência e a Tecnologia within project UIDB/50014/2020. Sofia Fernandes also acknowledges the support of FCT via the PhD scholarship PD/BD/114189/2016.

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Fernandes, S., Fanaee-T, H. & Gama, J. Tensor decomposition for analysing time-evolving social networks: an overview. Artif Intell Rev 54, 2891–2916 (2021). https://doi.org/10.1007/s10462-020-09916-4

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