How Computers Do Differentiation?
Differentiation is a key concept in machine learning, especially when optimizing functions like loss functions in neural networks. It helps us find the minimum of these functions, which is crucial for tasks like training a model. But have you ever wondered how popular libraries like TensorFlow and PyTorch perform differentiation? Let’s break it down! 1. Manual Differentiation: The Old-School Method In school, we learn how to manually compute derivatives using calculus. You apply a set of rules to functions to find how they change with respect to their inputs. For example, given a simple function like: ...