Explore the complexities of statistical estimation and learning in this Richard M. Karp Distinguished Lecture delivered by Andrea Montanari from Stanford University. Delve into topics such as coin tossing accuracy, information theoretic proofs, high-dimensional estimation, and the information computation gap. Examine the concept of packing numbers, various reduction techniques, and different classes of algorithms. Gain insights into optimal statistical accuracy and engage with thought-provoking questions in this comprehensive talk on computational barriers in the field of statistics and machine learning.