Choosing the adequate layout convention for matrix derivatives
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Is there a rule (or maybe a rule of thumb) that provides guidance for choosing the layout convention (see Layout conventions, wiki) to use when dealing with matrix derivatives?
I found a hint in this answer here to a related question but I could hardly find any well justified answer.
linear-algebra derivatives matrix-calculus
asked Nov 28 at 1:17
Likely
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add a comment |
up vote
1
down vote
favorite
Is there a rule (or maybe a rule of thumb) that provides guidance for choosing the layout convention (see Layout conventions, wiki) to use when dealing with matrix derivatives?
I found a hint in this answer here to a related question but I could hardly find any well justified answer.
linear-algebra derivatives matrix-calculus
asked Nov 28 at 1:17
Likely
84
Try working a few problems in each. Then pick the one you like best and stick with it. And if you read an article using the other convention, it isn't difficult to translate it to your preferred convention.
– greg
Nov 29 at 21:21
@greg That's what I've been doing. But, I believe the layouts are not equivalently meaningful. Of course, any layout would give the derivatives but the arrangement seems important. This is explained in a section of Magnus and Neudecker's "Matrix Differential Calculus" (under First-order differentials and Jacobian matrices) that talks about why some notation (layout) is bad. The authors also give what they consider good notation and why.
– Likely
Dec 1 at 4:02
Magnus and Neudecker make some good points. I would suggest that you read "Complex-Valued Matrix Derivatives" by Are Hjorungnes for another point of view.
– greg
Dec 1 at 4:11
@greg Okay, thank you for the reference.
– Likely
Dec 2 at 22:02
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Is there a rule (or maybe a rule of thumb) that provides guidance for choosing the layout convention (see Layout conventions, wiki) to use when dealing with matrix derivatives?
I found a hint in this answer here to a related question but I could hardly find any well justified answer.
linear-algebra derivatives matrix-calculus
asked Nov 28 at 1:17
Likely
84
Is there a rule (or maybe a rule of thumb) that provides guidance for choosing the layout convention (see Layout conventions, wiki) to use when dealing with matrix derivatives?
I found a hint in this answer here to a related question but I could hardly find any well justified answer.
linear-algebra derivatives matrix-calculus
linear-algebra derivatives matrix-calculus
asked Nov 28 at 1:17
Likely
84
asked Nov 28 at 1:17
Likely
84
asked Nov 28 at 1:17
Likely
84
asked Nov 28 at 1:17
Likely
84
asked Nov 28 at 1:17
Likely
84
84
Try working a few problems in each. Then pick the one you like best and stick with it. And if you read an article using the other convention, it isn't difficult to translate it to your preferred convention.
– greg
Nov 29 at 21:21
@greg That's what I've been doing. But, I believe the layouts are not equivalently meaningful. Of course, any layout would give the derivatives but the arrangement seems important. This is explained in a section of Magnus and Neudecker's "Matrix Differential Calculus" (under First-order differentials and Jacobian matrices) that talks about why some notation (layout) is bad. The authors also give what they consider good notation and why.
– Likely
Dec 1 at 4:02
Magnus and Neudecker make some good points. I would suggest that you read "Complex-Valued Matrix Derivatives" by Are Hjorungnes for another point of view.
– greg
Dec 1 at 4:11
@greg Okay, thank you for the reference.
– Likely
Dec 2 at 22:02
add a comment |
Try working a few problems in each. Then pick the one you like best and stick with it. And if you read an article using the other convention, it isn't difficult to translate it to your preferred convention.
– greg
Nov 29 at 21:21
@greg That's what I've been doing. But, I believe the layouts are not equivalently meaningful. Of course, any layout would give the derivatives but the arrangement seems important. This is explained in a section of Magnus and Neudecker's "Matrix Differential Calculus" (under First-order differentials and Jacobian matrices) that talks about why some notation (layout) is bad. The authors also give what they consider good notation and why.
– Likely
Dec 1 at 4:02
Magnus and Neudecker make some good points. I would suggest that you read "Complex-Valued Matrix Derivatives" by Are Hjorungnes for another point of view.
– greg
Dec 1 at 4:11
@greg Okay, thank you for the reference.
– Likely
Dec 2 at 22:02
Try working a few problems in each. Then pick the one you like best and stick with it. And if you read an article using the other convention, it isn't difficult to translate it to your preferred convention.
– greg
Nov 29 at 21:21
Try working a few problems in each. Then pick the one you like best and stick with it. And if you read an article using the other convention, it isn't difficult to translate it to your preferred convention.
– greg
Nov 29 at 21:21
@greg That's what I've been doing. But, I believe the layouts are not equivalently meaningful. Of course, any layout would give the derivatives but the arrangement seems important. This is explained in a section of Magnus and Neudecker's "Matrix Differential Calculus" (under First-order differentials and Jacobian matrices) that talks about why some notation (layout) is bad. The authors also give what they consider good notation and why.
– Likely
Dec 1 at 4:02
@greg That's what I've been doing. But, I believe the layouts are not equivalently meaningful. Of course, any layout would give the derivatives but the arrangement seems important. This is explained in a section of Magnus and Neudecker's "Matrix Differential Calculus" (under First-order differentials and Jacobian matrices) that talks about why some notation (layout) is bad. The authors also give what they consider good notation and why.
– Likely
Dec 1 at 4:02
Magnus and Neudecker make some good points. I would suggest that you read "Complex-Valued Matrix Derivatives" by Are Hjorungnes for another point of view.
– greg
Dec 1 at 4:11
Magnus and Neudecker make some good points. I would suggest that you read "Complex-Valued Matrix Derivatives" by Are Hjorungnes for another point of view.
– greg
Dec 1 at 4:11
@greg Okay, thank you for the reference.
– Likely
Dec 2 at 22:02
@greg Okay, thank you for the reference.
– Likely
Dec 2 at 22:02
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Try working a few problems in each. Then pick the one you like best and stick with it. And if you read an article using the other convention, it isn't difficult to translate it to your preferred convention.
– greg
Nov 29 at 21:21
@greg That's what I've been doing. But, I believe the layouts are not equivalently meaningful. Of course, any layout would give the derivatives but the arrangement seems important. This is explained in a section of Magnus and Neudecker's "Matrix Differential Calculus" (under First-order differentials and Jacobian matrices) that talks about why some notation (layout) is bad. The authors also give what they consider good notation and why.
– Likely
Dec 1 at 4:02
Magnus and Neudecker make some good points. I would suggest that you read "Complex-Valued Matrix Derivatives" by Are Hjorungnes for another point of view.
– greg
Dec 1 at 4:11
@greg Okay, thank you for the reference.
– Likely
Dec 2 at 22:02