Explore posterior sampling techniques for image personalization and editing in this comprehensive lecture delivered by Sanjay Shakkottai at the International Centre for Theoretical Sciences. Delve into the theoretical foundations and practical applications of probabilistic methods in computer vision and image processing. Learn how posterior sampling can be leveraged to create personalized image content and perform sophisticated editing operations while maintaining statistical rigor. Discover the intersection of probability theory, optimization, and machine learning as applied to visual content manipulation. Examine the mathematical frameworks that enable robust and adaptable image processing systems through principled probabilistic approaches. Gain insights into how these methods contribute to current advances in generative modeling and their potential for future breakthroughs in data science and machine learning applications.