Explore the cutting-edge research on optimality of algorithms for approximation and computation in this Rothschild Lecture delivered by Professor Ronald DeVore from Texas A&M University. Delve into the intricate world of data science as the lecture covers topics related to approximation, sampling, and compression. Gain insights into the latest developments in mathematical sciences and their applications in the field of data analysis. Presented at the prestigious Isaac Newton Institute for Mathematical Sciences, this hour-long talk offers a deep dive into the theoretical foundations that underpin modern computational methods.