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Abstract
Signed networks are mathematical structures that encode positive and negative relations between entities such as friend/foe or trust/distrust. Recently, several papers studied the construction of useful low-dimensional representations (embeddings) of these networks for the prediction of missing relations or signs. Existing network embedding methods for sign prediction, however, generally enforce different notions of status or balance theories in their optimization function. These theories, are often inaccurate or incomplete which negatively impacts method performance. In this context, we introduce conditional signed network embedding (CSNE). Our novel probabilistic approach models structural information about the signs in the network separately from fine-grained detail. Structural information is represented in the form of a prior, while the embedding itself is used for capturing fine-grained information. These components are then integrated in a rigorous manner. CSNE's accuracy depends on the existence of sufficiently powerful structural priors for modelling signed networks, currently unavailable in the literature. Thus, as a second main contribution, which we find to be highly valuable in its own right, we also introduce a novel approach to construct priors based on the Maximum Entropy (MaxEnt) principle. These priors can model the polarity of nodes (the degree to which their links are positive) as well as signed triangle counts (a measure for the degree structural balance holds to in a network). Experiments on a variety of real-world networks confirm that CSNE outperforms the state-of-the-art on the task of sign prediction. Moreover, the MaxEnt priors on their own, while less accurate than full CSNE, achieve accuracies competitive with the state-of-the-art at very limited computational cost, thus providing an excellent runtime-accuracy trade-off in resource-constrained situations.
Keywords
MaxEnt Models, Sign Prediction, Signed Network Embedding

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MLA
Mara, Alexandru-Cristian, et al. “CSNE : Conditional Signed Network Embedding.” CIKM ’20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT, Association for Computing Machinery (ACM), 2020, pp. 1105–14, doi:10.1145/3340531.3411959.
APA
Mara, A.-C., Mashayekhi, Y., Lijffijt, J., & De Bie, T. (2020). CSNE : conditional signed network embedding. CIKM ’20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT, 1105–1114. https://doi.org/10.1145/3340531.3411959
Chicago author-date
Mara, Alexandru-Cristian, Yoosof Mashayekhi, Jefrey Lijffijt, and Tijl De Bie. 2020. “CSNE : Conditional Signed Network Embedding.” In CIKM ’20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT, 1105–14. Association for Computing Machinery (ACM). https://doi.org/10.1145/3340531.3411959.
Chicago author-date (all authors)
Mara, Alexandru-Cristian, Yoosof Mashayekhi, Jefrey Lijffijt, and Tijl De Bie. 2020. “CSNE : Conditional Signed Network Embedding.” In CIKM ’20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT, 1105–1114. Association for Computing Machinery (ACM). doi:10.1145/3340531.3411959.
Vancouver
1.
Mara A-C, Mashayekhi Y, Lijffijt J, De Bie T. CSNE : conditional signed network embedding. In: CIKM ’20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT. Association for Computing Machinery (ACM); 2020. p. 1105–14.
IEEE
[1]
A.-C. Mara, Y. Mashayekhi, J. Lijffijt, and T. De Bie, “CSNE : conditional signed network embedding,” in CIKM ’20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT, Online, 2020, pp. 1105–1114.
@inproceedings{8675295,
  abstract     = {{Signed networks are mathematical structures that encode positive and negative relations between entities such as friend/foe or trust/distrust. Recently, several papers studied the construction of useful low-dimensional representations (embeddings) of these networks for the prediction of missing relations or signs. Existing network embedding methods for sign prediction, however, generally enforce different notions of status or balance theories in their optimization function. These theories, are often inaccurate or incomplete which negatively impacts method performance.

In this context, we introduce conditional signed network embedding (CSNE). Our novel probabilistic approach models structural information about the signs in the network separately from fine-grained detail. Structural information is represented in the form of a prior, while the embedding itself is used for capturing fine-grained information. These components are then integrated in a rigorous manner. CSNE's accuracy depends on the existence of sufficiently powerful structural priors for modelling signed networks, currently unavailable in the literature. Thus, as a second main contribution, which we find to be highly valuable in its own right, we also introduce a novel approach to construct priors based on the Maximum Entropy (MaxEnt) principle. These priors can model the polarity of nodes (the degree to which their links are positive) as well as signed triangle counts (a measure for the degree structural balance holds to in a network).

Experiments on a variety of real-world networks confirm that CSNE outperforms the state-of-the-art on the task of sign prediction. Moreover, the MaxEnt priors on their own, while less accurate than full CSNE, achieve accuracies competitive with the state-of-the-art at very limited computational cost, thus providing an excellent runtime-accuracy trade-off in resource-constrained situations.}},
  author       = {{Mara, Alexandru-Cristian and Mashayekhi, Yoosof and Lijffijt, Jefrey and De Bie, Tijl}},
  booktitle    = {{CIKM '20 : PROCEEDINGS OF THE 29TH ACM INTERNATIONAL CONFERENCE ON INFORMATION & KNOWLEDGE MANAGEMENT}},
  isbn         = {{9781450368599}},
  keywords     = {{MaxEnt Models,Sign Prediction,Signed Network Embedding}},
  language     = {{eng}},
  location     = {{Online}},
  pages        = {{1105--1114}},
  publisher    = {{Association for Computing Machinery (ACM)}},
  title        = {{CSNE : conditional signed network embedding}},
  url          = {{http://doi.org/10.1145/3340531.3411959}},
  year         = {{2020}},
}

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