Explore the concept of implicit regularization in optimization methods for machine learning in this 41-minute lecture by Lorenzo Rosasco from MIT. Delve into how optimization techniques can bias solution searches towards those with small norms, ensuring stability in estimation processes. Examine recent developments extending beyond classic Euclidean norms and quadratic errors, with a focus on accelerated optimization techniques. Gain insights into the intersection of statistics and computer science in the era of Big Data, understanding how these fields influence modern machine learning paradigms, including gradient descent methods, generalization guarantees, and high-dimensional statistical models.