Compose is a Kotlin library for building user interfaces across platforms like Android, Desktop, and Web. It provides a declarative programming model that allows describing UI as composable functions of pure data. The Compose compiler plugin handles calling these functions and managing the underlying UI component tree efficiently as data changes over time. Compose uses techniques like positional memoization and gap buffers to optimize caching of UI nodes and state for each call site in a composable function. This allows Compose to rebuild the UI incrementally based on changes in input data.