Computing the gradient of L_2 cost function The 2019 Stack Overflow Developer Survey Results Are InUsing summation notation to prove the Leibniz rule for the gradient of productFinding the Gradient of a Tensor FieldFinding the Gradient of a Vector Function by its ComponentsThe connection between the Jacobian, Hessian and the gradient?Connection of Gradient, Jacobian and Hessian matrix in Newton methodDifferentiability and gradient of a function of a single variableRecover scalar field from gradientIs the gradient of a vector product a row or a column?Is this bounded below by $2$ ?Gradient of an interpolated function
Why doesn't shell automatically fix "useless use of cat"?
How to type a long/em dash `—`
How do I free up internal storage if I don't have any apps downloaded?
Can you cast a spell on someone in the Ethereal Plane, if you are on the Material Plane and have the True Seeing spell active?
What is the meaning of Triage in Cybersec world?
Are spiders unable to hurt humans, especially very small spiders?
If my opponent casts Ultimate Price on my Phantasmal Bear, can I save it by casting Snap or Curfew?
Inverse Relationship Between Precision and Recall
Did any laptop computers have a built-in 5 1/4 inch floppy drive?
What to do when moving next to a bird sanctuary with a loosely-domesticated cat?
Why couldn't they take pictures of a closer black hole?
"as much details as you can remember"
What is the motivation for a law requiring 2 parties to consent for recording a conversation
Pokemon Turn Based battle (Python)
Output the Arecibo Message
APIPA and LAN Broadcast Domain
Straighten subgroup lattice
Is it ethical to upload a automatically generated paper to a non peer-reviewed site as part of a larger research?
Mathematics of imaging the black hole
Keeping a retro style to sci-fi spaceships?
What do these terms in Caesar's Gallic Wars mean?
Is bread bad for ducks?
Why can't devices on different VLANs, but on the same subnet, communicate?
I am an eight letter word. What am I?
Computing the gradient of L_2 cost function
The 2019 Stack Overflow Developer Survey Results Are InUsing summation notation to prove the Leibniz rule for the gradient of productFinding the Gradient of a Tensor FieldFinding the Gradient of a Vector Function by its ComponentsThe connection between the Jacobian, Hessian and the gradient?Connection of Gradient, Jacobian and Hessian matrix in Newton methodDifferentiability and gradient of a function of a single variableRecover scalar field from gradientIs the gradient of a vector product a row or a column?Is this bounded below by $2$ ?Gradient of an interpolated function
$begingroup$
Suppose $x, y in mathbbR^2.$ We define $c(x,y) = x^t x + c y^t y,$ for some non-zero $c in mathbbR.$ In particular, we have $fracddx x^t x = 2x^t$ and $fracddy cy^t y = 2c y^t.$ Does this imply that the gradient of $c(x,y)$ is $2 (x, cy) = 2(x_1, x_2, cy_1, cy_2)$? Confirmation would be useful, as I am not familiar with matrix calculus. Thank you.
calculus multivariable-calculus vector-analysis
asked Mar 30 at 22:19
R. RosenR. Rosen
62
$endgroup$
add a comment |
$begingroup$
Suppose $x, y in mathbbR^2.$ We define $c(x,y) = x^t x + c y^t y,$ for some non-zero $c in mathbbR.$ In particular, we have $fracddx x^t x = 2x^t$ and $fracddy cy^t y = 2c y^t.$ Does this imply that the gradient of $c(x,y)$ is $2 (x, cy) = 2(x_1, x_2, cy_1, cy_2)$? Confirmation would be useful, as I am not familiar with matrix calculus. Thank you.
calculus multivariable-calculus vector-analysis
asked Mar 30 at 22:19
R. RosenR. Rosen
62
$endgroup$
add a comment |
$begingroup$
Suppose $x, y in mathbbR^2.$ We define $c(x,y) = x^t x + c y^t y,$ for some non-zero $c in mathbbR.$ In particular, we have $fracddx x^t x = 2x^t$ and $fracddy cy^t y = 2c y^t.$ Does this imply that the gradient of $c(x,y)$ is $2 (x, cy) = 2(x_1, x_2, cy_1, cy_2)$? Confirmation would be useful, as I am not familiar with matrix calculus. Thank you.
calculus multivariable-calculus vector-analysis
asked Mar 30 at 22:19
R. RosenR. Rosen
62
$endgroup$
Suppose $x, y in mathbbR^2.$ We define $c(x,y) = x^t x + c y^t y,$ for some non-zero $c in mathbbR.$ In particular, we have $fracddx x^t x = 2x^t$ and $fracddy cy^t y = 2c y^t.$ Does this imply that the gradient of $c(x,y)$ is $2 (x, cy) = 2(x_1, x_2, cy_1, cy_2)$? Confirmation would be useful, as I am not familiar with matrix calculus. Thank you.
calculus multivariable-calculus vector-analysis
calculus multivariable-calculus vector-analysis
asked Mar 30 at 22:19
R. RosenR. Rosen
62
asked Mar 30 at 22:19
R. RosenR. Rosen
62
asked Mar 30 at 22:19
R. RosenR. Rosen
62
asked Mar 30 at 22:19
R. RosenR. Rosen
62
asked Mar 30 at 22:19
R. RosenR. Rosen
62
62
add a comment |
add a comment |
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
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3168846%2fcomputing-the-gradient-of-l-2-cost-function%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
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.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3168846%2fcomputing-the-gradient-of-l-2-cost-function%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
