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Mathematics

The Gradient Descent Algorithm from a Calculus Perspective

Quick fact

Gradient descent is the backbone of training neural networks: every time a model learns from data, it's essentially performing thousands of tiny downhill steps guided by the gradient of a loss function—the calculus at the heart of artificial intelligence.

Why this is interesting

If you're on a foggy mountain and need to find the valley, your first instinct is to take a step downhill—but how do you mathematically know which way is down? That's exactly the problem gradient descent solves, using nothing but calculus.