Youโre very close , but one important idea needs correction ๐
๐ ๐น What is Gradient Descent?
๐ Gradient Descent is an algorithm to find the minimum value of a function (error) by updating parameters step-by-step.
๐ ๐น What is Gradient?
๐ Gradient = slope of the error function
Tells:
how fast error is changing
which direction increases error the most
โ Important Correction
You said:
โGradient is maximum at the point where there is minimum errorโ
โ This is incorrect
โ๏ธ Correct statement:
๐ At minimum error, gradient = 0
๐ Why?
At the lowest point (minimum):
slope becomes flat
no increase or decrease
[
\nabla J(\theta) = 0
]
๐น Intuition (Hill example)
Top of hill โ steep slope โ large gradient
Middle โ some slope โ medium gradient
Bottom โ flat โ gradient = 0
๐น What Gradient Descent does
Start somewhere on curve
Check slope (gradient)
Move opposite direction of slope
Repeat until:
slope becomes ~0
(minimum reached)
๐ฅ Final Understanding
Gradient = direction of steepestโฆ