In this short clip, we quickly show how the Mean Squared Error (MSE) becomes a clean matrix expression, why it forms a convex “bowl-shaped” surface, and how we use gradients to find the optimal weight vector w. If you want the full step-by-step derivation and visual intuition, check out the full lecture linked on my channel! ============================================================== All animations in this video were made with ManimGL and ManimCE, an open-source animation library built in Python. You can find more information about the project here: https://github.com/3b1b/manim, https://github.com/manimCommunity/manim manimCE: https://www.manim.community/ #MachineLearning #MSE #SSE #LinearRegression #AI #manim#convex