Explain the garbage collection process in Java. How does it work under the hood? Discuss the different types of garbage collectors available in Java, including their algorithms and when you would choose one over the others. What role does the JVM play in memory management, and how can you optimize garbage collection for better performance?

Java's garbage collection (GC) is an automatic memory management process that helps reclaim memory used by objects that are no longer referenced. The JVM, through its GC, uses different algorithms such as Mark-and-Sweep, Generational GC, and G1 GC. The garbage collector identifies and removes unreachable objects, helping to prevent memory leaks. The generational approach is based on the observation that most objects are short-lived. Hence, it segregates objects into young and old generations. Choosing the right collector depends on application requirements: a low-latency application may benefit from G1 GC, while a throughput-oriented application might use the Parallel GC. Optimizations can include tuning heap size and GC parameters.