A math problem shows that some ways of simplifying complex systems are always worse

This paper shows that a common way to simplify complex systems, called "partition-constrained compression," is strictly less effective than a more flexible method. It means that even after trying every possible simplification using the common method, you still get a worse result than with the flexible one.

When engineers or scientists try to understand a complex system, they often simplify it to make it manageable. This paper proves that one popular simplification method, which groups parts of the system into fixed categories, will always miss important details that a more flexible approach would catch. It suggests that some widely used simplification techniques might be inherently flawed, leading to models that are less accurate than they could be.