This research examines the interplay between the concept of the rhizome, as a dynamic and decentralized network structure, and artificial intelligence in contemporary installation art. Focusing on the works of Memo Akten and Refik Anadol, this study demonstrates how contemporary artists utilize philosophical concepts and novel technologies to create complex and interactive artistic experiences. Analysis of these works reveals that artificial intelligence algorithms play a pivotal role in constructing rhizomatic structures within installation art. By generating random and self-organizing data, these algorithms create intricate networks where each element is connected to multiple others, simultaneously referencing various meanings. Key rhizomatic characteristics such as multicentrality, dynamism, the production of multiple meanings, and connections to the exterior are clearly evident in the studied works. This research compares the iconic installations of Memo Akten and Refik Anadol, exploring their differences and similarities in implementing the rhizome concept. Both artists employ rhizomatic concepts to create unique and captivating artworks, yet there are distinctions in their subject matter, data types, and visual styles. An analysis of the installations "Distributed Consciousness" and "Machine Memories: Space" reveals that both works, utilizing artificial intelligence algorithms, construct intricate rhizomatic structures. In "Distributed Consciousness," these structures are formed through the creation of multiple digital entities and their interactions with one another, while in "Machine Memories: Space," they are produced by analyzing spatial data and creating connections between them. By comparing these two works, their differences and similarities from a rhizomatic perspective also became evident. Both works feature complex and dynamic network structures and utilize artificial intelligence to create interactive and multifaceted experiences. However, Distributed Consciousness focuses more on the concept of consciousness and the relationship between humans and technology, while Machine Memories: Space explores the history and future of space exploration. These differences demonstrate how the concept of the rhizome can be applied across various thematic contexts, proving its flexibility as a theoretical framework. In conclusion, this research demonstrated that the concept of the rhizome not only serves as a suitable theoretical framework for analyzing contemporary AI-based installation art but also enhances our understanding of the complex interactions between art, technology, and philosophy in the digital age. These findings pave the way for future research in related areas, such as examining the mutual influences of artificial intelligence and other philosophical concepts on contemporary art, or analyzing artistic works within diverse cultural and social contexts.