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Primer on Gradients

Explore the core concepts of gradients essential for implementing explanation methods in Explainable AI. This lesson reviews the mathematical definition of gradients and practical calculation using PyTorch, equipping you with foundational skills to interpret image classifier decisions effectively.

Implementing explanation methods requires basic knowledge of gradients. So before diving deeper into the course, let’s first quickly review the concepts of gradients.

Gradients

Given a function f(x)f(x), where x=(x1,x2,...xd)x = (x_1, x_2, ... x_d) is a dd-dimensional vector, the gradient of f(x)f(x) with respect to xx, i.e., xf(x)\nabla_x f(x), is a ...