calculus - Derivative of a Matrix with respect to a vector












0












$begingroup$


I know how to handle the derivative of a matrix with respect to a vector. I thought it is well-defined.



However, there is a sentence of paper says 'As the Matrix derivative with respect to a vector (set aside to a matrix) is no longer well-defined'. This sentence puzzled me a lot, why is no longer well-defined?



Biggggggggg thanks!



Paper link is Matrix Backpropagation for Deep Networks with Structured Layers.



The sentence locates at the bottom of the left column on page 3.










share|cite|improve this question









$endgroup$












  • $begingroup$
    I have no idea what they mean.
    $endgroup$
    – copper.hat
    Dec 18 '18 at 5:11
















0












$begingroup$


I know how to handle the derivative of a matrix with respect to a vector. I thought it is well-defined.



However, there is a sentence of paper says 'As the Matrix derivative with respect to a vector (set aside to a matrix) is no longer well-defined'. This sentence puzzled me a lot, why is no longer well-defined?



Biggggggggg thanks!



Paper link is Matrix Backpropagation for Deep Networks with Structured Layers.



The sentence locates at the bottom of the left column on page 3.










share|cite|improve this question









$endgroup$












  • $begingroup$
    I have no idea what they mean.
    $endgroup$
    – copper.hat
    Dec 18 '18 at 5:11














0












0








0





$begingroup$


I know how to handle the derivative of a matrix with respect to a vector. I thought it is well-defined.



However, there is a sentence of paper says 'As the Matrix derivative with respect to a vector (set aside to a matrix) is no longer well-defined'. This sentence puzzled me a lot, why is no longer well-defined?



Biggggggggg thanks!



Paper link is Matrix Backpropagation for Deep Networks with Structured Layers.



The sentence locates at the bottom of the left column on page 3.










share|cite|improve this question









$endgroup$




I know how to handle the derivative of a matrix with respect to a vector. I thought it is well-defined.



However, there is a sentence of paper says 'As the Matrix derivative with respect to a vector (set aside to a matrix) is no longer well-defined'. This sentence puzzled me a lot, why is no longer well-defined?



Biggggggggg thanks!



Paper link is Matrix Backpropagation for Deep Networks with Structured Layers.



The sentence locates at the bottom of the left column on page 3.







calculus matrices






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 18 '18 at 4:31









aaronaaron

1




1












  • $begingroup$
    I have no idea what they mean.
    $endgroup$
    – copper.hat
    Dec 18 '18 at 5:11


















  • $begingroup$
    I have no idea what they mean.
    $endgroup$
    – copper.hat
    Dec 18 '18 at 5:11
















$begingroup$
I have no idea what they mean.
$endgroup$
– copper.hat
Dec 18 '18 at 5:11




$begingroup$
I have no idea what they mean.
$endgroup$
– copper.hat
Dec 18 '18 at 5:11










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3044773%2fcalculus-derivative-of-a-matrix-with-respect-to-a-vector%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3044773%2fcalculus-derivative-of-a-matrix-with-respect-to-a-vector%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Plaza Victoria

Puebla de Zaragoza

Musa