When is a Jacobian Matrix not diagonal?
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According to this article (See: the section "Derivatives of vector element-wise binary operators"), Jacobian Matrix is nothing but a Diagonal Identity Matrix.
I am failing to understand What is so special about Jacobian Matrix then? Why don't we talk about an Identity matrix then?
When is a Jacobian Matrix not diagonal?
calculus matrices jacobian
asked Jan 1 at 8:53
user366312user366312
663418
$endgroup$
add a comment |
$begingroup$
According to this article (See: the section "Derivatives of vector element-wise binary operators"), Jacobian Matrix is nothing but a Diagonal Identity Matrix.
I am failing to understand What is so special about Jacobian Matrix then? Why don't we talk about an Identity matrix then?
When is a Jacobian Matrix not diagonal?
calculus matrices jacobian
asked Jan 1 at 8:53
user366312user366312
663418
$endgroup$
$begingroup$
your article does not say that.
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– dezdichado
Jan 1 at 9:31
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@dezdichado, see "Derivatives of vector element-wise binary operators".
$endgroup$
– user366312
Jan 1 at 9:41
add a comment |
$begingroup$
According to this article (See: the section "Derivatives of vector element-wise binary operators"), Jacobian Matrix is nothing but a Diagonal Identity Matrix.
I am failing to understand What is so special about Jacobian Matrix then? Why don't we talk about an Identity matrix then?
When is a Jacobian Matrix not diagonal?
calculus matrices jacobian
asked Jan 1 at 8:53
user366312user366312
663418
$endgroup$
According to this article (See: the section "Derivatives of vector element-wise binary operators"), Jacobian Matrix is nothing but a Diagonal Identity Matrix.
I am failing to understand What is so special about Jacobian Matrix then? Why don't we talk about an Identity matrix then?
When is a Jacobian Matrix not diagonal?
calculus matrices jacobian
calculus matrices jacobian
asked Jan 1 at 8:53
user366312user366312
663418
asked Jan 1 at 8:53
user366312user366312
663418
edited Jan 1 at 9:42
user366312
asked Jan 1 at 8:53
user366312user366312
663418
asked Jan 1 at 8:53
user366312user366312
663418
asked Jan 1 at 8:53
user366312user366312
663418
663418
$begingroup$
your article does not say that.
$endgroup$
– dezdichado
Jan 1 at 9:31
$begingroup$
@dezdichado, see "Derivatives of vector element-wise binary operators".
$endgroup$
– user366312
Jan 1 at 9:41
add a comment |
$begingroup$
your article does not say that.
$endgroup$
– dezdichado
Jan 1 at 9:31
$begingroup$
@dezdichado, see "Derivatives of vector element-wise binary operators".
$endgroup$
– user366312
Jan 1 at 9:41
$begingroup$
your article does not say that.
$endgroup$
– dezdichado
Jan 1 at 9:31
$begingroup$
your article does not say that.
$endgroup$
– dezdichado
Jan 1 at 9:31
$begingroup$
@dezdichado, see "Derivatives of vector element-wise binary operators".
$endgroup$
– user366312
Jan 1 at 9:41
$begingroup$
@dezdichado, see "Derivatives of vector element-wise binary operators".
$endgroup$
– user366312
Jan 1 at 9:41
add a comment |
1 Answer
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From the article,
That's quite a furball, but fortunately the Jacobian is very often a
diagonal matrix, a matrix that is zero everywhere but the diagonal.
is just an empirical claim that most of the Jacobians that you meet in this domain (deep learning according to this article) are diagonal. It is not true in general.
answered Jan 1 at 9:51
twnlytwnly
1,2011214
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add a comment |
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1 Answer
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1 Answer
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$begingroup$
From the article,
That's quite a furball, but fortunately the Jacobian is very often a
diagonal matrix, a matrix that is zero everywhere but the diagonal.
is just an empirical claim that most of the Jacobians that you meet in this domain (deep learning according to this article) are diagonal. It is not true in general.
answered Jan 1 at 9:51
twnlytwnly
1,2011214
$endgroup$
add a comment |
$begingroup$
From the article,
That's quite a furball, but fortunately the Jacobian is very often a
diagonal matrix, a matrix that is zero everywhere but the diagonal.
is just an empirical claim that most of the Jacobians that you meet in this domain (deep learning according to this article) are diagonal. It is not true in general.
answered Jan 1 at 9:51
twnlytwnly
1,2011214
$endgroup$
add a comment |
$begingroup$
From the article,
That's quite a furball, but fortunately the Jacobian is very often a
diagonal matrix, a matrix that is zero everywhere but the diagonal.
is just an empirical claim that most of the Jacobians that you meet in this domain (deep learning according to this article) are diagonal. It is not true in general.
answered Jan 1 at 9:51
twnlytwnly
1,2011214
$endgroup$
From the article,
That's quite a furball, but fortunately the Jacobian is very often a
diagonal matrix, a matrix that is zero everywhere but the diagonal.
is just an empirical claim that most of the Jacobians that you meet in this domain (deep learning according to this article) are diagonal. It is not true in general.
answered Jan 1 at 9:51
twnlytwnly
1,2011214
answered Jan 1 at 9:51
twnlytwnly
1,2011214
answered Jan 1 at 9:51
twnlytwnly
1,2011214
answered Jan 1 at 9:51
twnlytwnly
1,2011214
1,2011214
add a comment |
add a comment |
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your article does not say that.
$endgroup$
– dezdichado
Jan 1 at 9:31
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@dezdichado, see "Derivatives of vector element-wise binary operators".
$endgroup$
– user366312
Jan 1 at 9:41