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












1












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










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  • $begingroup$
    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






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share|cite|improve this question













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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
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$begingroup$

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






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













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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




















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