Meaning of this notion in 0-1 loss?Prove Reccurrent Neural Network can exhibit oscillatory behaviorPerformance and architecture of neural network for increased dimensionsReinforcement learning: understanding this derivation of n-step Tree Backup algorithmUsing ML to create unique descriptors?L2 loss vs. mean squared lossAn unbiased simulator for policy simulation in reinforcement learningIs it possible to use NEAT networks for solving video games?Why is my loss function for DQN converging too quickly?Why Gradient methods work in finding the parameters in Neural Networks?Splitting image dataset with few subjects but many data

Store Credit Card Information in Password Manager?

Did arcade monitors have same pixel aspect ratio as TV sets?

Biological Blimps: Propulsion

Need a math help for the Cagan's model in macroeconomics

Argument list too long when zipping large list of certain files in a folder

On a tidally locked planet, would time be quantized?

Closed-form expression for certain product

When were female captains banned from Starfleet?

What linear sensor for a keybaord?

Reply 'no position' while the job posting is still there

Is there a single word describing earning money through any means?

Calculating Wattage for Resistor in High Frequency Application?

MTG Artifact and Enchantment Rulings

Offered money to buy a house, seller is asking for more to cover gap between their listing and mortgage owed

Drawing ramified coverings with tikz

Is it improper etiquette to ask your opponent what his/her rating is before the game?

Did US corporations pay demonstrators in the German demonstrations against article 13?

Can somebody explain the brexit thing in one or two child-proof sentences?

How should I respond when I lied about my education and the company finds out through background check?

Is it better practice to read straight from sheet music rather than memorize it?

The screen of my macbook suddenly broken down how can I do to recover

Open a doc from terminal, but not by its name

Could Intel SGX be dangerous under Linux?

How is flyblackbird.com operating under Part 91K?



Meaning of this notion in 0-1 loss?


Prove Reccurrent Neural Network can exhibit oscillatory behaviorPerformance and architecture of neural network for increased dimensionsReinforcement learning: understanding this derivation of n-step Tree Backup algorithmUsing ML to create unique descriptors?L2 loss vs. mean squared lossAn unbiased simulator for policy simulation in reinforcement learningIs it possible to use NEAT networks for solving video games?Why is my loss function for DQN converging too quickly?Why Gradient methods work in finding the parameters in Neural Networks?Splitting image dataset with few subjects but many data













1












$begingroup$


I am reading a paper and encountered this notion:



$$1_Y=1$$



To me it seems to be the expression as below, but I am not entirely sure and I don't think the author explictly explained it:



if Y==1:
return 1
else:
return 0


Can someone help me to clarify this notion? Much thanks for your time (:




It appears in:



https://papers.nips.cc/paper/5073-learning-with-noisy-labels.pdf



weighted 0-1 loss










share|improve this question









New contributor




J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    Your assumption is right.
    $endgroup$
    – Alireza Zolanvari
    Mar 20 at 10:19















1












$begingroup$


I am reading a paper and encountered this notion:



$$1_Y=1$$



To me it seems to be the expression as below, but I am not entirely sure and I don't think the author explictly explained it:



if Y==1:
return 1
else:
return 0


Can someone help me to clarify this notion? Much thanks for your time (:




It appears in:



https://papers.nips.cc/paper/5073-learning-with-noisy-labels.pdf



weighted 0-1 loss










share|improve this question









New contributor




J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    Your assumption is right.
    $endgroup$
    – Alireza Zolanvari
    Mar 20 at 10:19













1












1








1





$begingroup$


I am reading a paper and encountered this notion:



$$1_Y=1$$



To me it seems to be the expression as below, but I am not entirely sure and I don't think the author explictly explained it:



if Y==1:
return 1
else:
return 0


Can someone help me to clarify this notion? Much thanks for your time (:




It appears in:



https://papers.nips.cc/paper/5073-learning-with-noisy-labels.pdf



weighted 0-1 loss










share|improve this question









New contributor




J. Doe 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 a paper and encountered this notion:



$$1_Y=1$$



To me it seems to be the expression as below, but I am not entirely sure and I don't think the author explictly explained it:



if Y==1:
return 1
else:
return 0


Can someone help me to clarify this notion? Much thanks for your time (:




It appears in:



https://papers.nips.cc/paper/5073-learning-with-noisy-labels.pdf



weighted 0-1 loss







machine-learning loss-function math






share|improve this question









New contributor




J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited Mar 20 at 11:57









Siong Thye Goh

1,387519




1,387519






New contributor




J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked Mar 20 at 9:49









J. DoeJ. Doe

82




82




New contributor




J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






J. Doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • $begingroup$
    Your assumption is right.
    $endgroup$
    – Alireza Zolanvari
    Mar 20 at 10:19
















  • $begingroup$
    Your assumption is right.
    $endgroup$
    – Alireza Zolanvari
    Mar 20 at 10:19















$begingroup$
Your assumption is right.
$endgroup$
– Alireza Zolanvari
Mar 20 at 10:19




$begingroup$
Your assumption is right.
$endgroup$
– Alireza Zolanvari
Mar 20 at 10:19










1 Answer
1






active

oldest

votes


















2












$begingroup$

Your understanding is correct.



This is known as the indicator function.



The indicator function of a subset $A$ of a set $X$ is a function



$$1_A(x)= begincases1, & x in A \ 0, & x notin A endcases$$






share|improve this answer









$endgroup$












  • $begingroup$
    Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
    $endgroup$
    – Esmailian
    Mar 20 at 13:04










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
);



);






J. Doe is a new contributor. Be nice, and check out our Code of Conduct.









draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f47657%2fmeaning-of-this-notion-in-0-1-loss%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









2












$begingroup$

Your understanding is correct.



This is known as the indicator function.



The indicator function of a subset $A$ of a set $X$ is a function



$$1_A(x)= begincases1, & x in A \ 0, & x notin A endcases$$






share|improve this answer









$endgroup$












  • $begingroup$
    Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
    $endgroup$
    – Esmailian
    Mar 20 at 13:04















2












$begingroup$

Your understanding is correct.



This is known as the indicator function.



The indicator function of a subset $A$ of a set $X$ is a function



$$1_A(x)= begincases1, & x in A \ 0, & x notin A endcases$$






share|improve this answer









$endgroup$












  • $begingroup$
    Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
    $endgroup$
    – Esmailian
    Mar 20 at 13:04













2












2








2





$begingroup$

Your understanding is correct.



This is known as the indicator function.



The indicator function of a subset $A$ of a set $X$ is a function



$$1_A(x)= begincases1, & x in A \ 0, & x notin A endcases$$






share|improve this answer









$endgroup$



Your understanding is correct.



This is known as the indicator function.



The indicator function of a subset $A$ of a set $X$ is a function



$$1_A(x)= begincases1, & x in A \ 0, & x notin A endcases$$







share|improve this answer












share|improve this answer



share|improve this answer










answered Mar 20 at 11:56









Siong Thye GohSiong Thye Goh

1,387519




1,387519











  • $begingroup$
    Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
    $endgroup$
    – Esmailian
    Mar 20 at 13:04
















  • $begingroup$
    Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
    $endgroup$
    – Esmailian
    Mar 20 at 13:04















$begingroup$
Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
$endgroup$
– Esmailian
Mar 20 at 13:04




$begingroup$
Also since both $I_Y=1$ and $I_y=1$ are present in the question. It is worth noting that $Z=I_Y=1$ is a random variable like $Z=2Y$ with a distribution, unlike $f(y)=I_y=1$ which is a function with no distribution.
$endgroup$
– Esmailian
Mar 20 at 13:04










J. Doe is a new contributor. Be nice, and check out our Code of Conduct.









draft saved

draft discarded


















J. Doe is a new contributor. Be nice, and check out our Code of Conduct.












J. Doe is a new contributor. Be nice, and check out our Code of Conduct.











J. Doe 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.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f47657%2fmeaning-of-this-notion-in-0-1-loss%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

Adding axes to figuresAdding axes labels to LaTeX figuresLaTeX equivalent of ConTeXt buffersRotate a node but not its content: the case of the ellipse decorationHow to define the default vertical distance between nodes?TikZ scaling graphic and adjust node position and keep font sizeNumerical conditional within tikz keys?adding axes to shapesAlign axes across subfiguresAdding figures with a certain orderLine up nested tikz enviroments or how to get rid of themAdding axes labels to LaTeX figures

Tähtien Talli Jäsenet | Lähteet | NavigointivalikkoSuomen Hippos – Tähtien Talli

Do these cracks on my tires look bad? The Next CEO of Stack OverflowDry rot tire should I replace?Having to replace tiresFishtailed so easily? Bad tires? ABS?Filling the tires with something other than air, to avoid puncture hassles?Used Michelin tires safe to install?Do these tyre cracks necessitate replacement?Rumbling noise: tires or mechanicalIs it possible to fix noisy feathered tires?Are bad winter tires still better than summer tires in winter?Torque converter failure - Related to replacing only 2 tires?Why use snow tires on all 4 wheels on 2-wheel-drive cars?