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01-12-2016 | Original Article

Effects of missing data in multilayer networks

Authors: Rajesh Sharma, Matteo Magnani, Danilo Montesi

Published in: Social Network Analysis and Mining | Issue 1/2016

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Abstract

A common problem in social network analysis is the presence of missing data. This problem has been extensively investigated in single-layer networks, that is, considering one network at a time. However, in multilayer networks, in which a holistic view of multiple networks is taken, the problem has not been specifically studied. In this work, we take an exhaustive and systematic approach to understand the effect of missing data in multilayer networks. Differently from the single-layer networks, depending on layer interdependencies, the common network properties can increase or decrease with respect to the properties of the complete network. Another important aspect we observed through our experiments on six real and eleven synthetic datasets is that multilayer network properties like layer correlation and relevance can be used to understand the impact of missing data compared to measuring traditional network measures.

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Literature
go back to reference Asif MT, Mitrovic N, Garg L, Dauwels J, Jaillet P (2013) Low-dimensional models for missing data imputation in road networks. In: IEEE international conference on acoustics, speech and signal processing, ICASSP 2013, Vancouver, BC, Canada, May 26–31, 2013, pp 3527–3531, Asif MT, Mitrovic N, Garg L, Dauwels J, Jaillet P (2013) Low-dimensional models for missing data imputation in road networks. In: IEEE international conference on acoustics, speech and signal processing, ICASSP 2013, Vancouver, BC, Canada, May 26–31, 2013, pp 3527–3531,
go back to reference Cardillo A, Gómez-Gardeñes J, Zanin M, Romance M, Papo D, Pozo F, Boccaletti S (2013) Emergence of network features from multiplexity. Sci Rep 3 Cardillo A, Gómez-Gardeñes J, Zanin M, Romance M, Papo D, Pozo F, Boccaletti S (2013) Emergence of network features from multiplexity. Sci Rep 3
go back to reference De Choudhury M, Lin Y.-R, Sundaram H, Candan K.S., Xie L, Kelliher A (2010) How Does the data sampling strategy impact the discovery of information diffusion in social media? In: Proceedings of the 4th international AAAI conference on weblogs and social media De Choudhury M, Lin Y.-R, Sundaram H, Candan K.S., Xie L, Kelliher A (2010) How Does the data sampling strategy impact the discovery of information diffusion in social media? In: Proceedings of the 4th international AAAI conference on weblogs and social media
go back to reference De Domenico M, Porter MA, Arenas A (2014) Muxviz: a tool for multilayer analysis and visualization of networks. J Complex Netw De Domenico M, Porter MA, Arenas A (2014) Muxviz: a tool for multilayer analysis and visualization of networks. J Complex Netw
go back to reference De Domenico M, Lancichinetti A, Rosvall M (2015) Identifying modular flows on multilayer networks reveals highly overlapping organization in interconnected systems. Phys Rev 5:011027CrossRef De Domenico M, Lancichinetti A, Rosvall M (2015) Identifying modular flows on multilayer networks reveals highly overlapping organization in interconnected systems. Phys Rev 5:011027CrossRef
go back to reference Dickson WJ, Roethlisberger FJ (1939) Management and the worker. Harvard University Press, Cambridge Dickson WJ, Roethlisberger FJ (1939) Management and the worker. Harvard University Press, Cambridge
go back to reference Domenico MD, Solé-Ribalta A, Gómez S, Arenas A (2014) Navigability of interconnected networks under random failures. PNAS 111:8351–8356MathSciNetCrossRef Domenico MD, Solé-Ribalta A, Gómez S, Arenas A (2014) Navigability of interconnected networks under random failures. PNAS 111:8351–8356MathSciNetCrossRef
go back to reference Gjoka M, Butts CT, Kurant M, Markopoulou A (2011) Multigraph sampling of online social networks. IEEE J Select Areas Commun 29(9):1893–1905CrossRef Gjoka M, Butts CT, Kurant M, Markopoulou A (2011) Multigraph sampling of online social networks. IEEE J Select Areas Commun 29(9):1893–1905CrossRef
go back to reference Huisman M (2009) Imputation of missing network data: some simple procedures. J Soc Struct 10:1–29 Huisman M (2009) Imputation of missing network data: some simple procedures. J Soc Struct 10:1–29
go back to reference Kim M, Leskovec J (2011) The network completion problem: inferring missing nodes and edges in networks. In: Proceedings of the eleventh SIAM international conference on data mining, SDM 2011, April 28–30, 2011, Mesa, Arizona, USA, pp 47–58 Kim M, Leskovec J (2011) The network completion problem: inferring missing nodes and edges in networks. In: Proceedings of the eleventh SIAM international conference on data mining, SDM 2011, April 28–30, 2011, Mesa, Arizona, USA, pp 47–58
go back to reference Kossinets G (2006) Effects of missing data in social networks. Soc Netw 28(3):247–268CrossRef Kossinets G (2006) Effects of missing data in social networks. Soc Netw 28(3):247–268CrossRef
go back to reference Leke C, Twala B, Marwala T (2014) Modeling of missing data prediction: Computational intelligence and optimization algorithms. In: IEEE international conference on systems, man and cybernetics (SMC), 2014, pp 1400–1404 Leke C, Twala B, Marwala T (2014) Modeling of missing data prediction: Computational intelligence and optimization algorithms. In: IEEE international conference on systems, man and cybernetics (SMC), 2014, pp 1400–1404
go back to reference Leskovec J, Faloutsos C (2006) Sampling from large graphs. In: KDD ’06: proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining, pp 631–636 Leskovec J, Faloutsos C (2006) Sampling from large graphs. In: KDD ’06: proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining, pp 631–636
go back to reference Li Y, Parker LE (2008) A spatial-temporal imputation technique for classification with missing data in a wireless sensor network. In: Proceedings of IEEE international conference on intelligent robots and systems Li Y, Parker LE (2008) A spatial-temporal imputation technique for classification with missing data in a wireless sensor network. In: Proceedings of IEEE international conference on intelligent robots and systems
go back to reference Little RJA, Rubin DB (2002) Statistical analysis with missing data, 2nd edn. Hoboken, Wiley-InterscienceMATH Little RJA, Rubin DB (2002) Statistical analysis with missing data, 2nd edn. Hoboken, Wiley-InterscienceMATH
go back to reference Magnani M, Monreale A, Rossetti G, Giannotti F (2013) On multidimensional network measures. In: Italian conference on Sistemi Evoluti per le Basi di Dati (SEBD) Magnani M, Monreale A, Rossetti G, Giannotti F (2013) On multidimensional network measures. In: Italian conference on Sistemi Evoluti per le Basi di Dati (SEBD)
go back to reference Magnani M, Rossi L (2011) The ml-model for multi-layer social networks. In: International Conference on advances in social networks analysis and mining (ASONAM), 2011, pp 5–12 Magnani M, Rossi L (2011) The ml-model for multi-layer social networks. In: International Conference on advances in social networks analysis and mining (ASONAM), 2011, pp 5–12
go back to reference Magnani M, Rossi L (2013) Formation of multiple networks. Social computing., behavioral-cultural modeling and prediction. Springer, Berlin, pp 257–264CrossRef Magnani M, Rossi L (2013) Formation of multiple networks. Social computing., behavioral-cultural modeling and prediction. Springer, Berlin, pp 257–264CrossRef
go back to reference Mehdiabadi ME, Rabiee HR, Salehi M (2012) Sampling from diffusion networks. In: IEEE Computer Society, Social Informatics, pp 106–112 Mehdiabadi ME, Rabiee HR, Salehi M (2012) Sampling from diffusion networks. In: IEEE Computer Society, Social Informatics, pp 106–112
go back to reference Mislove A, Marcon M, Gummadi KP, Druschel P, Bhattacharjee B (2007) Measurement and analysis of online social networks. In: Proceedings of the 7th ACM SIGCOMM conference on internet measurement, IMC ’07, pp 29–42 Mislove A, Marcon M, Gummadi KP, Druschel P, Bhattacharjee B (2007) Measurement and analysis of online social networks. In: Proceedings of the 7th ACM SIGCOMM conference on internet measurement, IMC ’07, pp 29–42
go back to reference Moody J, Stovel K, Bearman PS (2002) Chains of affection: the structure of adolescent romantic and sexual networks. ISERP Working Paper, Columbia University Moody J, Stovel K, Bearman PS (2002) Chains of affection: the structure of adolescent romantic and sexual networks. ISERP Working Paper, Columbia University
go back to reference Sadikov E, Medina M, Leskovec J, Garcia-Molina H (2011) Correcting for missing data in information cascades. In: Proceedings of the fourth ACM international conference on web search and data mining, WSDM ’11, New York, NY, USA, ACM, pp 55–64 Sadikov E, Medina M, Leskovec J, Garcia-Molina H (2011) Correcting for missing data in information cascades. In: Proceedings of the fourth ACM international conference on web search and data mining, WSDM ’11, New York, NY, USA, ACM, pp 55–64
go back to reference Salehi M, Rabiee HR, Nabavi N, Pooya S (2011) Characterizing twitter with respondent-driven sampling. In: DASC, IEEE computer society, pp 1211–1217 Salehi M, Rabiee HR, Nabavi N, Pooya S (2011) Characterizing twitter with respondent-driven sampling. In: DASC, IEEE computer society, pp 1211–1217
go back to reference Salehi M, Sharma R, Marzolla M, Montesi D, Siyari P, Magnani M (2014) Diffusion processes on multilayer networks. CoRR, arXiv:1405.4329, Salehi M, Sharma R, Marzolla M, Montesi D, Siyari P, Magnani M (2014) Diffusion processes on multilayer networks. CoRR, arXiv:​1405.​4329,
go back to reference Saunders JA, Morrow-Howell N, Spitznagel E, Dore P, Proctor EK, Pescarino R (2006) Imputing missing data: a comparison of methods for social work research. Soc Work Res 30:19–30CrossRef Saunders JA, Morrow-Howell N, Spitznagel E, Dore P, Proctor EK, Pescarino R (2006) Imputing missing data: a comparison of methods for social work research. Soc Work Res 30:19–30CrossRef
go back to reference Sharma R, Magnani M, Montesi D (2014) Missing data in multiplex networks: a preliminary study. In: Third international workshop on complex networks and their applications Sharma R, Magnani M, Montesi D (2014) Missing data in multiplex networks: a preliminary study. In: Third international workshop on complex networks and their applications
go back to reference Sharma R, Magnani M, Montesi D (2015) Investigating the types and effects of missing data in multilayer networks. In: IEEE/ACM international conference on advances in social networks analysis and mining Sharma R, Magnani M, Montesi D (2015) Investigating the types and effects of missing data in multilayer networks. In: IEEE/ACM international conference on advances in social networks analysis and mining
go back to reference Travers J, Milgram S (1967) An experimental study of the small world problem. Psychol Tod 2:60–67 Travers J, Milgram S (1967) An experimental study of the small world problem. Psychol Tod 2:60–67
go back to reference Ward MD, Hoff PD, Lofdahl CL (2003) Identifying international networks: latent spaces and imputation. The National Academic Press, Washington, pp 345–360 Ward MD, Hoff PD, Lofdahl CL (2003) Identifying international networks: latent spaces and imputation. The National Academic Press, Washington, pp 345–360
Metadata
Title
Effects of missing data in multilayer networks
Authors
Rajesh Sharma
Matteo Magnani
Danilo Montesi
Publication date
01-12-2016
Publisher
Springer Vienna
Published in
Social Network Analysis and Mining / Issue 1/2016
Print ISSN: 1869-5450
Electronic ISSN: 1869-5469
DOI
https://doi.org/10.1007/s13278-016-0384-3

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