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Selecting bivariate copula models using image recognition

Tsanakas, A. ORCID: 0000-0003-4552-5532 & Zhu, R. ORCID: 0000-0002-9944-0369 (2022). Selecting bivariate copula models using image recognition. Astin Bulletin, doi: 10.1017/asb.2022.12


The choice of a copula model from limited data is a hard but important task. Motivated by the visual patterns that different copula models produce in smoothed density heatmaps, we consider copula model selection as an image recognition problem. We extract image features from heatmaps using the pre-trained AlexNet, and present workflows for model selection that combine image features with statistical information. We employ dimension reduction via Principal Component and Linear Discriminant Analyses, and use a Support Vector Machine classifier. Simulation studies show that the use of image data improves the accuracy of the copula model selection task, particularly in scenarios where sample sizes and correlations are low. This finding indicates that transfer learning can support statistical procedures of model selection. We demonstrate application of the proposed approach to the joint modelling of weekly returns of the MSCI and RISX indices.

Publication Type: Article
Additional Information: This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. © The Author(s), 2022. Published by Cambridge University Press on behalf of The International Actuarial Association
Publisher Keywords: copula, dependence modelling, image recognition, model selection, classification, transfer learning
Subjects: H Social Sciences > HG Finance
Q Science > QA Mathematics
Departments: Bayes Business School > Actuarial Science & Insurance
Text - Published Version
Available under License Creative Commons: Attribution International Public License 4.0.

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