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Gradient Descent
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Gradient Descent

DEV CommunityยทDolly Sharmaยทabout 1 month ago
#AFGTWeF3
#algorithms#beginners#machinelearning#gradient#minimum#slope
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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 steepest increase Gradient Descent = moveโ€ฆ

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