Entrepreneurial creativity and innovation are central to the development of novel products, services, and business models, yet the cognitive mechanisms underlying these processes remain complex and multifaceted. This chapter explores how Artificial Intelligence (AI) can be leveraged to map, analyze, and enhance entrepreneurial cognitive processes, including divergent and convergent thinking, pattern recognition, and problem reframing. It examines theoretical frameworks such as associative theory, componential creativity theory, and dual-process models, and highlights AI tools-including machine learning, natural language processing, and generative algorithms-that provide insights into ideation patterns, innovation potential, and cognitive biases. Case studies illustrate practical applications in startups, accelerators, and investment evaluation. The chapter also addresses ethical considerations, limitations, and future research directions, emphasizing the synergy between human cognition and AI as a transformative driver of entrepreneurial creativity and innovation.