Lakebase Search: State-of-the-art full text and vector search for Postgres

This post introduces Lakebase Search, which extends the Lakebase capability by integrating full-text and vector search directly into Postgres. This involves developing new indexing strategies and query processing mechanisms within Postgres to support both keyword-based and semantic search. The technical contribution lies in the implementation of these search functionalities as a native extension to Postgres, managed and orchestrated through the Lakebase framework, enabling advanced data retrieval for AI agents and other applications.