The Buckley-Osthus model and the block preferential attachment model: statistical analysis and application

Wenpin Tang, Xin Guo, Fengmin Tang
Proceedings of the 37th International Conference on Machine Learning, PMLR 119:9377-9386, 2020.

Abstract

This paper is concerned with statistical estimation of two preferential attachment models: the Buckley-Osthus model and the block preferential attachment model. We prove that the maximum likelihood estimates for both models are consistent. We perform simulation studies to corroborate our theoretical findings. We also apply both models to study the evolution of a real-world network. A list of open problems are presented.

Cite this Paper

BibTeX
@InProceedings{pmlr-v119-tang20b, title = {The Buckley-Osthus model and the block preferential attachment model: statistical analysis and application}, author = {Tang, Wenpin and Guo, Xin and Tang, Fengmin}, booktitle = {Proceedings of the 37th International Conference on Machine Learning}, pages = {9377--9386}, year = {2020}, editor = {III, Hal Daumé and Singh, Aarti}, volume = {119}, series = {Proceedings of Machine Learning Research}, month = {13--18 Jul}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v119/tang20b/tang20b.pdf}, url = {https://proceedings.mlr.press/v119/tang20b.html}, abstract = {This paper is concerned with statistical estimation of two preferential attachment models: the Buckley-Osthus model and the block preferential attachment model. We prove that the maximum likelihood estimates for both models are consistent. We perform simulation studies to corroborate our theoretical findings. We also apply both models to study the evolution of a real-world network. A list of open problems are presented.} }
Endnote
%0 Conference Paper %T The Buckley-Osthus model and the block preferential attachment model: statistical analysis and application %A Wenpin Tang %A Xin Guo %A Fengmin Tang %B Proceedings of the 37th International Conference on Machine Learning %C Proceedings of Machine Learning Research %D 2020 %E Hal Daumé III %E Aarti Singh %F pmlr-v119-tang20b %I PMLR %P 9377--9386 %U https://proceedings.mlr.press/v119/tang20b.html %V 119 %X This paper is concerned with statistical estimation of two preferential attachment models: the Buckley-Osthus model and the block preferential attachment model. We prove that the maximum likelihood estimates for both models are consistent. We perform simulation studies to corroborate our theoretical findings. We also apply both models to study the evolution of a real-world network. A list of open problems are presented.
APA
Tang, W., Guo, X. & Tang, F.. (2020). The Buckley-Osthus model and the block preferential attachment model: statistical analysis and application. Proceedings of the 37th International Conference on Machine Learning, in Proceedings of Machine Learning Research 119:9377-9386 Available from https://proceedings.mlr.press/v119/tang20b.html.

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