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Multiplying with alpha (a constant to specify the rate of approaching the minimum) in the update rule in matrix factorizaiont

0

$begingroup$

Where does the negative sign go after multiplying with alpha (a constant to specify the rate of approaching the minimum) in the update rule in matrix factorization?

Squared error = (actual rating - predicted rating)$^2$

Now if I take a partial derivative with respect to two variables, I get a negative sign. However, in the update rule of these two variable, we multiply with alpha (a constant to specify the rate of approaching the minimum). In different literatures, I have found a 'positive' sign appearing in the update rule. Shouldn't it be negative instead?

matrix-factorisation matrix

share|improve this question

edited Apr 1 at 4:11

Ethan

695425

asked Apr 1 at 2:52

Nafiz HNafiz H

11

$endgroup$

add a comment | 

0

$begingroup$

Where does the negative sign go after multiplying with alpha (a constant to specify the rate of approaching the minimum) in the update rule in matrix factorization?

Squared error = (actual rating - predicted rating)$^2$

Now if I take a partial derivative with respect to two variables, I get a negative sign. However, in the update rule of these two variable, we multiply with alpha (a constant to specify the rate of approaching the minimum). In different literatures, I have found a 'positive' sign appearing in the update rule. Shouldn't it be negative instead?

matrix-factorisation matrix

share|improve this question

edited Apr 1 at 4:11

Ethan

695425

asked Apr 1 at 2:52

Nafiz HNafiz H

11

$endgroup$

add a comment | 

$begingroup$

Where does the negative sign go after multiplying with alpha (a constant to specify the rate of approaching the minimum) in the update rule in matrix factorization?

Squared error = (actual rating - predicted rating)$^2$

Now if I take a partial derivative with respect to two variables, I get a negative sign. However, in the update rule of these two variable, we multiply with alpha (a constant to specify the rate of approaching the minimum). In different literatures, I have found a 'positive' sign appearing in the update rule. Shouldn't it be negative instead?

matrix-factorisation matrix

share|improve this question

edited Apr 1 at 4:11

Ethan

695425

asked Apr 1 at 2:52

Nafiz HNafiz H

11

$endgroup$

share|improve this question

edited Apr 1 at 4:11

Ethan

695425

asked Apr 1 at 2:52

Nafiz HNafiz H

11

share|improve this question

edited Apr 1 at 4:11

Ethan

695425

asked Apr 1 at 2:52

Nafiz HNafiz H

11

edited Apr 1 at 4:11

Ethan

695425

edited Apr 1 at 4:11

Ethan

695425

asked Apr 1 at 2:52

Nafiz HNafiz H

11

asked Apr 1 at 2:52

Nafiz HNafiz H

11