How dot product limits expressiveness and leads to sub-optimal solutions in Matrix Factorization?
$begingroup$
I am reading one paper on Metric Factorization an it says:
"The dot product
adopted in matrix factorization based recommender models does
not satisfy the inequality property, which may limit their expressiveness and lead to sub-optimal solutions.".
What is meant by that sentence?
matrix-factorisation
asked 54 mins ago
i_rezici_rezic
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I am reading one paper on Metric Factorization an it says:
"The dot product
adopted in matrix factorization based recommender models does
not satisfy the inequality property, which may limit their expressiveness and lead to sub-optimal solutions.".
What is meant by that sentence?
matrix-factorisation
asked 54 mins ago
i_rezici_rezic
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
Mentioning the name of the paper would help...
$endgroup$
– Mark.F
27 mins ago
add a comment |
$begingroup$
I am reading one paper on Metric Factorization an it says:
"The dot product
adopted in matrix factorization based recommender models does
not satisfy the inequality property, which may limit their expressiveness and lead to sub-optimal solutions.".
What is meant by that sentence?
matrix-factorisation
asked 54 mins ago
i_rezici_rezic
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I am reading one paper on Metric Factorization an it says:
"The dot product
adopted in matrix factorization based recommender models does
not satisfy the inequality property, which may limit their expressiveness and lead to sub-optimal solutions.".
What is meant by that sentence?
matrix-factorisation
matrix-factorisation
asked 54 mins ago
i_rezici_rezic
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 54 mins ago
i_rezici_rezic
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 44 mins ago
i_rezic
asked 54 mins ago
i_rezici_rezic
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 54 mins ago
i_rezici_rezic
11
asked 54 mins ago
i_rezici_rezic
11
11
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
i_rezic is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Mentioning the name of the paper would help...
$endgroup$
– Mark.F
27 mins ago
add a comment |
$begingroup$
Mentioning the name of the paper would help...
$endgroup$
– Mark.F
27 mins ago
$begingroup$
Mentioning the name of the paper would help...
$endgroup$
– Mark.F
27 mins ago
$begingroup$
Mentioning the name of the paper would help...
$endgroup$
– Mark.F
27 mins ago
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: "557"
};
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: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
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
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
i_rezic is a new contributor. Be nice, and check out our Code of Conduct.
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%2fdatascience.stackexchange.com%2fquestions%2f44436%2fhow-dot-product-limits-expressiveness-and-leads-to-sub-optimal-solutions-in-matr%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
i_rezic is a new contributor. Be nice, and check out our Code of Conduct.
i_rezic is a new contributor. Be nice, and check out our Code of Conduct.
i_rezic is a new contributor. Be nice, and check out our Code of Conduct.
i_rezic is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Data Science 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%2fdatascience.stackexchange.com%2fquestions%2f44436%2fhow-dot-product-limits-expressiveness-and-leads-to-sub-optimal-solutions-in-matr%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
$begingroup$
Mentioning the name of the paper would help...
$endgroup$
– Mark.F
27 mins ago