This special issue explores emerging trends and technologies in ubiquitous network intelligence for next-generation mobile edge network management and aims to provide valuable insights into the future of intelligent network management in an increasingly interconnected world. We received 48 original research contributions from different geographies, focusing on key challenges such as efficient data gathering from IoT and sensor nodes, distributed learning algorithms for network management, advanced Kubernetes orchestrators for inference, and security in 5G/6G networks. After a rigorous review process, involving three to seven experts per paper and oversight from guest editors, we selected 13 high-quality research papers, representing a 27% acceptance rate. These papers collectively address the challenges and opportunities in realizing ubiquitous network intelligence from two crucial perspectives: AI for networking and networking for AI. Further, we summarize several open challenges that need to be addressed in the near future related to intelligent ubiquitous mobile edge network management.