Module IV

Learning from Data

Chapter II

A Network That Learns

A single rule can only do so much.

It can sort one thing from another if the world cooperates, if the difference is clean, if the boundary is simple. Most real problems are not like that. The world is messier than any single rule can capture.

But what if rules could be stacked? What if the output of one fed into another, and another, each layer noticing something slightly more abstract than the one before? Not one line drawn through a problem, but many, overlapping and combining until something more like understanding emerged from the arrangement.

The hard part was not imagining the architecture. The hard part was figuring out how to teach it. How does a system of connected pieces know which part of itself was responsible when something goes wrong?

That problem had an answer. Finding it changed everything.