Apache Apex provides in-memory stream processing with strong fault tolerance features, including automatic recovery and processing guarantees such as at-least-once, at-most-once, and exactly-once semantics. The platform integrates seamlessly with Hadoop, utilizing YARN for resource management and HDFS for persistent state storage, while also offering flexibility in checkpointing and state recovery. Through various strategies, Apex ensures that data is not lost or duplicated in event of failure, making it suitable for reliable data processing applications.