Explore the intricacies of high-dimensional learning and deep neural networks in this illuminating lecture by Professor Stéphane Mallat at the Alan Turing Institute. Delve into recent advances in data science from a mathematical perspective, focusing on the influential developments in deep learning. Navigate through key topics with convenient timestamps, including an introduction by Professor Jared Tanner and an engaging Q&A session. Gain insights into the intersection of computer science, mathematics, statistics, and systems engineering as part of the Turing Lectures series on Mathematics. Discover how these cutting-edge concepts are shaping the field of data science and their practical applications in various industries. Benefit from the expertise of world-renowned researchers and leaders in academia as they explore the wider implications of algorithms and foster collaboration between industry and academia.