This state-of-the-art survey is dedicated to the memory of Emmanuil Markovich Braverman
(1931-1977) a pioneer in developing machine learning theory. The 12 revised full papers and 4
short papers included in this volume were presented at the conference Braverman Readings in
Machine Learning: Key Ideas from Inception to Current State held in Boston MA USA in April
2017 commemorating the 40th anniversary of Emmanuil Braverman's decease. The papers present an
overview of some of Braverman's ideas and approaches. The collection is divided in three parts.
The first part bridges the past and the present and covers the concept of kernel function and
its application to signal and image analysis as well as clustering. The second part presents a
set of extensions of Braverman's work to issues of current interest both in theory and
applications of machine learning. The third part includes short essaysby a friend a student
and a colleague.
