Explore advanced machine learning applications in cosmological research through this comprehensive lecture delivered by Francisco Antonio Villaescusa Navarro from the Simons Foundation and Princeton University. Delve into sophisticated computational methods used to analyze cosmic phenomena and extract meaningful insights from astronomical data. Learn how artificial intelligence and machine learning algorithms are revolutionizing our understanding of the universe's structure, evolution, and fundamental properties. Discover practical applications of these techniques in processing large-scale cosmological datasets, modeling complex astrophysical systems, and making predictions about cosmic behavior. Gain insights into cutting-edge research methodologies that bridge the gap between theoretical cosmology and computational data science, examining how modern machine learning tools are transforming astronomical research and enabling new discoveries about the cosmos.