English

Generative Adversarial Network: Some Analytical Perspectives

Mathematical Finance 2021-09-10 v2 Machine Learning

Abstract

Ever since its debut, generative adversarial networks (GANs) have attracted tremendous amount of attention. Over the past years, different variations of GANs models have been developed and tailored to different applications in practice. Meanwhile, some issues regarding the performance and training of GANs have been noticed and investigated from various theoretical perspectives. This subchapter will start from an introduction of GANs from an analytical perspective, then move on to the training of GANs via SDE approximations and finally discuss some applications of GANs in computing high dimensional MFGs as well as tackling mathematical finance problems.

Cite

@article{arxiv.2104.12210,
  title  = {Generative Adversarial Network: Some Analytical Perspectives},
  author = {Haoyang Cao and Xin Guo},
  journal= {arXiv preprint arXiv:2104.12210},
  year   = {2021}
}

Comments

Contributed to the book, "Machine Learning in Financial Markets: A Guide to Contemporary Practice", edited by Agostino Capponi and Charles-Albert Lehalle

R2 v1 2026-06-24T01:29:53.847Z