English

Learning Vine Copula Models For Synthetic Data Generation

Machine Learning 2018-12-05 v1 Machine Learning

Abstract

A vine copula model is a flexible high-dimensional dependence model which uses only bivariate building blocks. However, the number of possible configurations of a vine copula grows exponentially as the number of variables increases, making model selection a major challenge in development. In this work, we formulate a vine structure learning problem with both vector and reinforcement learning representation. We use neural network to find the embeddings for the best possible vine model and generate a structure. Throughout experiments on synthetic and real-world datasets, we show that our proposed approach fits the data better in terms of log-likelihood. Moreover, we demonstrate that the model is able to generate high-quality samples in a variety of applications, making it a good candidate for synthetic data generation.

Cite

@article{arxiv.1812.01226,
  title  = {Learning Vine Copula Models For Synthetic Data Generation},
  author = {Yi Sun and Alfredo Cuesta-Infante and Kalyan Veeramachaneni},
  journal= {arXiv preprint arXiv:1812.01226},
  year   = {2018}
}
R2 v1 2026-06-23T06:30:34.169Z