Building on the concept of gradients from the previous chapter, we now focus on how to use them for model optimization. This chapter introduces gradient descent, a core iterative algorithm for finding the minimum of a function, typically the cost function J(θ) in machine learning.
You will learn the intuition and the specific steps involved in updating model parameters by moving in the direction opposite to the gradient ∇J(θ). We will examine the role of the learning rate α, compare different approaches like Batch, Stochastic, and Mini-batch gradient descent, and address common optimization issues such as local minima. The chapter includes a practical section on implementing the basic algorithm.
4.1 The Intuition Behind Gradient Descent
4.2 The Gradient Descent Algorithm Steps
4.3 The Learning Rate Parameter
4.4 Batch Gradient Descent
4.5 Stochastic Gradient Descent (SGD)
4.6 Mini-batch Gradient Descent
4.7 Challenges: Local Minima and Saddle Points
4.8 Hands-on Practical: Implementing Simple Gradient Descent
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