What is the set ${h_{w,b}(x)=[[langle w,xrangle >b ]]mid win mathbb{R}^d}$












1












$begingroup$


In particular to the topic, what does $h_{w,b}(x)=[[langle w,xrangle > b]]$ means?










share|cite|improve this question











$endgroup$












  • $begingroup$
    Could mean many different things. Does this come from a source?
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 0:51










  • $begingroup$
    Homework in a course in machine learning. It says "Each classifier is a half space, but the margin doesn’t necessarily go through the origin." (the set in the topic is $mathcal{H}_d$)
    $endgroup$
    – sssss
    Dec 16 '18 at 0:54












  • $begingroup$
    Could it be they mean it's just $h_{w,b}(x)=langle w,xrangle +b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 0:56










  • $begingroup$
    Or it might be all the points $x$ such that $langle w,xrangle >b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 1:00










  • $begingroup$
    Ok found the answer in the lecture notes, it's used in the course for indicators, it's 1 when the value in the [] is true and 0 otherwise
    $endgroup$
    – sssss
    Dec 16 '18 at 1:19
















1












$begingroup$


In particular to the topic, what does $h_{w,b}(x)=[[langle w,xrangle > b]]$ means?










share|cite|improve this question











$endgroup$












  • $begingroup$
    Could mean many different things. Does this come from a source?
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 0:51










  • $begingroup$
    Homework in a course in machine learning. It says "Each classifier is a half space, but the margin doesn’t necessarily go through the origin." (the set in the topic is $mathcal{H}_d$)
    $endgroup$
    – sssss
    Dec 16 '18 at 0:54












  • $begingroup$
    Could it be they mean it's just $h_{w,b}(x)=langle w,xrangle +b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 0:56










  • $begingroup$
    Or it might be all the points $x$ such that $langle w,xrangle >b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 1:00










  • $begingroup$
    Ok found the answer in the lecture notes, it's used in the course for indicators, it's 1 when the value in the [] is true and 0 otherwise
    $endgroup$
    – sssss
    Dec 16 '18 at 1:19














1












1








1





$begingroup$


In particular to the topic, what does $h_{w,b}(x)=[[langle w,xrangle > b]]$ means?










share|cite|improve this question











$endgroup$




In particular to the topic, what does $h_{w,b}(x)=[[langle w,xrangle > b]]$ means?







machine-learning






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 16 '18 at 0:56







sssss

















asked Dec 16 '18 at 0:46









ssssssssss

844




844












  • $begingroup$
    Could mean many different things. Does this come from a source?
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 0:51










  • $begingroup$
    Homework in a course in machine learning. It says "Each classifier is a half space, but the margin doesn’t necessarily go through the origin." (the set in the topic is $mathcal{H}_d$)
    $endgroup$
    – sssss
    Dec 16 '18 at 0:54












  • $begingroup$
    Could it be they mean it's just $h_{w,b}(x)=langle w,xrangle +b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 0:56










  • $begingroup$
    Or it might be all the points $x$ such that $langle w,xrangle >b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 1:00










  • $begingroup$
    Ok found the answer in the lecture notes, it's used in the course for indicators, it's 1 when the value in the [] is true and 0 otherwise
    $endgroup$
    – sssss
    Dec 16 '18 at 1:19


















  • $begingroup$
    Could mean many different things. Does this come from a source?
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 0:51










  • $begingroup$
    Homework in a course in machine learning. It says "Each classifier is a half space, but the margin doesn’t necessarily go through the origin." (the set in the topic is $mathcal{H}_d$)
    $endgroup$
    – sssss
    Dec 16 '18 at 0:54












  • $begingroup$
    Could it be they mean it's just $h_{w,b}(x)=langle w,xrangle +b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 0:56










  • $begingroup$
    Or it might be all the points $x$ such that $langle w,xrangle >b$?
    $endgroup$
    – sssss
    Dec 16 '18 at 1:00










  • $begingroup$
    Ok found the answer in the lecture notes, it's used in the course for indicators, it's 1 when the value in the [] is true and 0 otherwise
    $endgroup$
    – sssss
    Dec 16 '18 at 1:19
















$begingroup$
Could mean many different things. Does this come from a source?
$endgroup$
– Eric Towers
Dec 16 '18 at 0:51




$begingroup$
Could mean many different things. Does this come from a source?
$endgroup$
– Eric Towers
Dec 16 '18 at 0:51












$begingroup$
Homework in a course in machine learning. It says "Each classifier is a half space, but the margin doesn’t necessarily go through the origin." (the set in the topic is $mathcal{H}_d$)
$endgroup$
– sssss
Dec 16 '18 at 0:54






$begingroup$
Homework in a course in machine learning. It says "Each classifier is a half space, but the margin doesn’t necessarily go through the origin." (the set in the topic is $mathcal{H}_d$)
$endgroup$
– sssss
Dec 16 '18 at 0:54














$begingroup$
Could it be they mean it's just $h_{w,b}(x)=langle w,xrangle +b$?
$endgroup$
– sssss
Dec 16 '18 at 0:56




$begingroup$
Could it be they mean it's just $h_{w,b}(x)=langle w,xrangle +b$?
$endgroup$
– sssss
Dec 16 '18 at 0:56












$begingroup$
Or it might be all the points $x$ such that $langle w,xrangle >b$?
$endgroup$
– sssss
Dec 16 '18 at 1:00




$begingroup$
Or it might be all the points $x$ such that $langle w,xrangle >b$?
$endgroup$
– sssss
Dec 16 '18 at 1:00












$begingroup$
Ok found the answer in the lecture notes, it's used in the course for indicators, it's 1 when the value in the [] is true and 0 otherwise
$endgroup$
– sssss
Dec 16 '18 at 1:19




$begingroup$
Ok found the answer in the lecture notes, it's used in the course for indicators, it's 1 when the value in the [] is true and 0 otherwise
$endgroup$
– sssss
Dec 16 '18 at 1:19










1 Answer
1






active

oldest

votes


















0












$begingroup$

In the course the lecturer uses it for indicators, which means $[[langle w,xrangle >b]]=begin{cases}1& langle w,xrangle >b\0& otherwiseend{cases}$






share|cite|improve this answer









$endgroup$













  • $begingroup$
    See Iverson Bracket for a similar notation.
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 8:34













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%2f3042122%2fwhat-is-the-set-h-w-bx-langle-w-x-rangle-b-mid-w-in-mathbbrd%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









0












$begingroup$

In the course the lecturer uses it for indicators, which means $[[langle w,xrangle >b]]=begin{cases}1& langle w,xrangle >b\0& otherwiseend{cases}$






share|cite|improve this answer









$endgroup$













  • $begingroup$
    See Iverson Bracket for a similar notation.
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 8:34


















0












$begingroup$

In the course the lecturer uses it for indicators, which means $[[langle w,xrangle >b]]=begin{cases}1& langle w,xrangle >b\0& otherwiseend{cases}$






share|cite|improve this answer









$endgroup$













  • $begingroup$
    See Iverson Bracket for a similar notation.
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 8:34
















0












0








0





$begingroup$

In the course the lecturer uses it for indicators, which means $[[langle w,xrangle >b]]=begin{cases}1& langle w,xrangle >b\0& otherwiseend{cases}$






share|cite|improve this answer









$endgroup$



In the course the lecturer uses it for indicators, which means $[[langle w,xrangle >b]]=begin{cases}1& langle w,xrangle >b\0& otherwiseend{cases}$







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Dec 16 '18 at 1:24









ssssssssss

844




844












  • $begingroup$
    See Iverson Bracket for a similar notation.
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 8:34




















  • $begingroup$
    See Iverson Bracket for a similar notation.
    $endgroup$
    – Eric Towers
    Dec 16 '18 at 8:34


















$begingroup$
See Iverson Bracket for a similar notation.
$endgroup$
– Eric Towers
Dec 16 '18 at 8:34






$begingroup$
See Iverson Bracket for a similar notation.
$endgroup$
– Eric Towers
Dec 16 '18 at 8:34




















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%2f3042122%2fwhat-is-the-set-h-w-bx-langle-w-x-rangle-b-mid-w-in-mathbbrd%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

Wiesbaden

Marschland

Dieringhausen