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Gradient Descent
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Gradient Descent

DEV CommunityยทDolly Sharmaยท6 months ago
#AFGTWeF3
#algorithms#beginners#machinelearning#gradient#minimum
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Youโ€™re very close , but one important idea needs correction ๐Ÿ‘‡

๐Ÿ“Œ ๐Ÿ”น What is Gradient Descent?

๐Ÿ‘‰ Gradient Descent is an algorithm to find the minimum value of a function (error) by updating parameters step-by-step.

๐Ÿ“Œ ๐Ÿ”น What is Gradient?

๐Ÿ‘‰ Gradient = slope of the error function

Tells:

how fast error is changing

which direction increases error the most

โ— Important Correction

You said:

โ€œGradient is maximum at the point where there is minimum errorโ€

โŒ This is incorrect

โœ”๏ธ Correct statement:

๐Ÿ‘‰ At minimum error, gradient = 0

๐Ÿ“Š Why?

At the lowest point (minimum):

slope becomes flat

no increase or decrease

[

\nabla J(\theta) = 0

]

๐Ÿ”น 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

๐Ÿ”น What Gradient Descent does

Start somewhere on curve

Check slope (gradient)

Move opposite direction of slope

Repeat until:

slope becomes ~0

(minimum reached)

๐Ÿ”ฅ Final Understanding

Gradient = direction of steepestโ€ฆ

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