W8_L6: Gradient descent & taylor series

Описание: Welcome to Week 8 Lecture 6 of the course "Machine Learning Foundations" by Profs. Harish Guruprasad Ramaswamy, Arun Rajkumar, and Prashanth LA.
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Video Overview
This lecture explains the intuition behind using the negative gradient direction in the gradient descent optimization algorithm. Using Taylor series expansion, we see why moving in the direction of the negative derivative decreases the function value, provided the step size is small.We ask and answer an important question: what is so special about minus f dash of x t? What makes the negative gradient direction unique in ensuring descent of the objective function? This session bridges calculus intuition with algorithmic understanding.

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