"""Gradient descent: a ball stepping down a loss surface into its basin.
Render (the driver does this for every palette; these are for eyeballing):
P=/opt/homebrew/opt/python@3.11/bin/python3.11
ASSET_MODE=still $P -m manim -s -r 1600,1600 manim/gradient_descent.py GradientDescent
ASSET_MODE=motion $P -m manim -qh -r 1080,1080 manim/gradient_descent.py GradientDescentLoop
"""
import numpy as np
from manim import (
DOWN,
LEFT,
UP,
Dot,
Line,
Surface,
The full Manim source and the rendered video come with a plan.