Compositional Optimization for Advanced Machine Learning

This book offers a comprehensive exploration of compositional optimization, a cutting-edge paradigm reshaping the landscape of machine learning (ML) and artificial intelligence (AI). As AI systems grow increasingly complex, traditional optimization methods fall short, necessitating innovative approaches to tackle intricate problems. This book bridges this gap, providing a systematic treatment of compositional optimization and its applications in modern AI. Key concepts such as convex optimization, empirical risk minimization, distributionally robust optimization, stochastic optimization and stochastic compositional optimization are thoroughly examined. The chapters delve into the intricacies of optimization problems that exhibit compositional structures, offering both theoretical insights and practical implementation strategies. Readers will benefit from rigorous analysis, practical tips, and access to Github code repositories, making this book an essential resource for those looking to apply these concepts in real-world scenarios. Designed for graduate students, applied researchers, and professionals with a foundational understanding of ML, this book serves as both a theoretical guide and a practical toolkit. It is an invaluable resource for anyone interested in the intersection of optimization and machine learning, offering insights that are both deep and actionable.