Contextual Search and Retrieval Engine

Develop a contextual search and retrieval engine that enhances user queries by understanding their intent and context and delivering relevant results. Explain how you would gather user data for context analysis, methods for embedding user intent, model choices for search optimization, evaluation of retrieval effectiveness, considerations for search latency and costs, approaches for ensuring safe and non-biased results, and methods for monitoring and adapting to changes in user behavior or query patterns.