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What is "

What is the benefit each of them ?

**Negative Gradient**" ? and what is "**Gradient Descent Method**" ? What is the difference and relationship between them ?What is the benefit each of them ?

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- Thread starter Maria88
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What is the benefit each of them ?

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jtbell

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thanks a lot

No, I am not so good in math , I know this is a stupid question, but if you can answer it, I will appreciated that

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jtbell

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Suppose you have a function h(x,y) that tells you the elevation (height) of the land at horizontal coordinates (x,y). The gradient of this function, ##\vec \nabla h(x,y)##, is a vector function that gives you a vector for each point (x,y). This gradient vector points in the direction of steepest uphill slope, and its magnitude is the value of that slope (like the slope of a straight-line graph).

The opposite direction, the negative gradient ##-\vec \nabla h(x,y)## tells you the direction of steepest downhill slope.

If you want to find the location (x,y) at which h(x,y) is minimum (e.g. the bottom of a valley), one way is to follow the negative gradient vector downhill. Calculate ##-\vec \nabla h## at your starting point (x

http://en.wikipedia.org/wiki/Gradient_descent

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