  AI systems are increasingly being adopted across various domains and
application areas. With this surge, there is a growing research focus and
societal concern for actively involving humans in developing, operating, and
adopting these systems. Despite this concern, most existing literature on AI
and Human-Computer Interaction (HCI) primarily focuses on explaining how AI
systems operate and, at times, allowing users to contest AI decisions. Existing
studies often overlook more impactful forms of user interaction with AI
systems, such as giving users agency beyond contestability and enabling them to
adapt and even co-design the AI's internal mechanics. In this survey, we aim to
bridge this gap by reviewing the state-of-the-art in Human-Centered AI
literature, the domain where AI and HCI studies converge, extending past
Explainable and Contestable AI, delving into the Interactive AI and beyond. Our
analysis contributes to shaping the trajectory of future Interactive AI design
and advocates for a more user-centric approach that provides users with greater
agency, fostering not only their understanding of AI's workings but also their
active engagement in its development and evolution.
