arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.07365stat.MLcs.LG

Towards a Theoretical Understanding of the Robustness of Variational Autoencoders

University of Oxford(牛津大学);Alan Turing Institute(艾伦·图灵研究所)

Alexander Camuto, Matthew Willetts, Stephen Roberts, Chris Holmes, Tom Rainforth

英文摘要:

We make inroads into understanding the robustness of Variational Autoencoders (VAEs) to adversarial attacks and other input perturbations. While previous work has developed algorithmic approaches to attacking and defending VAEs, there remains a lack of formalization for what it means for a VAE to be robust. To address this, we develop a novel criterion for robustness in probabilistic models: $r$-robustness. We then use this to construct the first theoretical results for the robustness of VAEs, deriving margins in the input space for which we can provide guarantees about the resulting reconstruction. Informally, we are able to define a region within which any perturbation will produce a reconstruction that is similar to the original reconstruction. To support our analysis, we show that VAEs trained using disentangling methods not only score well under our robustness metrics, but that the reasons for this can be interpreted through our theoretical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑