Does GDPR Require ML To Explain its Human Subject Decisions?

Even if this is not the legal interpretation, could some legal interpretations lead us this way?   What is an accepted 'explanation'?   An accepted  statistical method?  The  training regimen of a neural net?  The Theory structure and priors behind a particular Bayesian network?   What is a rigorous enough explanation?

Does GDPR require Machine Learning algorithms to explain their output? Probably not, but experts disagree and there is enough ambiguity to keep lawyers busy.    By Gregory Piatetsky, KDnuggets.

The EU General Data Protection Regulation, known as GDPR, is the most important change in data privacy regulations in 21st century, and it is taking effect very soon, on May 25, 2018. 

It will have a significant impact on many aspects of data collection and processing of data of EU citizens, and will affect not only EU companies but also multinationals that operate in EU. 

One possible and significant effect of GDPR on Machine Learning is the "right to explanation". 

Some of the articles of GDPR can interpreted as requiring explanation of the decision made by a machine learning algorithm, when it is applied to a human subject.   .... "