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What is the formula of the sigmoid/logistic function as a multivariable function? [on hold]


Need function for 2D sigmoid-shaped monotonic SurfaceLogistic regression: Prove that the cost function is convexCost function of logistic regression: $0 cdot log(0)$What is a saturated function?Loss function for logistic regressionHow does the softmax function come about?Layman's explanation of how we can deduce certain qualitative properties of the sigmoid function from its formula?Logistic regression - Transposing formulasPartial derivative of sigmoid function with sum (sigma) inputHow should I calculate cost function based on SSE and Sigmoid values?Why Sigmoid function is so popular in every field of science?













0












$begingroup$


For one variable $sigma(x)= dfrac11+e^-x$



What about multivariable sigmoid i.e. $sigma(x,y,z,...)$ what is the formula?










share|cite|improve this question











$endgroup$



put on hold as off-topic by Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh Mar 12 at 2:03


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.















  • $begingroup$
    What is the definition of the function in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:27











  • $begingroup$
    @user that is what I am asking
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 21:32










  • $begingroup$
    Not exactly. For example the logistic function was introduced as solution of ODE $f_x=k f (F-f)$. What is the framework in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:48











  • $begingroup$
    @user I edited my question to be multivariable function. By the way what do you mean by ODE (what is the full form of ODE)?
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 22:05











  • $begingroup$
    ordinary differential equation
    $endgroup$
    – user
    Mar 11 at 22:28















0












$begingroup$


For one variable $sigma(x)= dfrac11+e^-x$



What about multivariable sigmoid i.e. $sigma(x,y,z,...)$ what is the formula?










share|cite|improve this question











$endgroup$



put on hold as off-topic by Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh Mar 12 at 2:03


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.















  • $begingroup$
    What is the definition of the function in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:27











  • $begingroup$
    @user that is what I am asking
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 21:32










  • $begingroup$
    Not exactly. For example the logistic function was introduced as solution of ODE $f_x=k f (F-f)$. What is the framework in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:48











  • $begingroup$
    @user I edited my question to be multivariable function. By the way what do you mean by ODE (what is the full form of ODE)?
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 22:05











  • $begingroup$
    ordinary differential equation
    $endgroup$
    – user
    Mar 11 at 22:28













0












0








0





$begingroup$


For one variable $sigma(x)= dfrac11+e^-x$



What about multivariable sigmoid i.e. $sigma(x,y,z,...)$ what is the formula?










share|cite|improve this question











$endgroup$




For one variable $sigma(x)= dfrac11+e^-x$



What about multivariable sigmoid i.e. $sigma(x,y,z,...)$ what is the formula?







logistic-regression






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Mar 11 at 22:07







Mosab Shaheen

















asked Mar 11 at 20:30









Mosab ShaheenMosab Shaheen

1167




1167




put on hold as off-topic by Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh Mar 12 at 2:03


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.







put on hold as off-topic by Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh Mar 12 at 2:03


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Hans Lundmark, Lee David Chung Lin, Vinyl_cape_jawa, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.











  • $begingroup$
    What is the definition of the function in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:27











  • $begingroup$
    @user that is what I am asking
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 21:32










  • $begingroup$
    Not exactly. For example the logistic function was introduced as solution of ODE $f_x=k f (F-f)$. What is the framework in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:48











  • $begingroup$
    @user I edited my question to be multivariable function. By the way what do you mean by ODE (what is the full form of ODE)?
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 22:05











  • $begingroup$
    ordinary differential equation
    $endgroup$
    – user
    Mar 11 at 22:28
















  • $begingroup$
    What is the definition of the function in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:27











  • $begingroup$
    @user that is what I am asking
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 21:32










  • $begingroup$
    Not exactly. For example the logistic function was introduced as solution of ODE $f_x=k f (F-f)$. What is the framework in the multidimensional case?
    $endgroup$
    – user
    Mar 11 at 21:48











  • $begingroup$
    @user I edited my question to be multivariable function. By the way what do you mean by ODE (what is the full form of ODE)?
    $endgroup$
    – Mosab Shaheen
    Mar 11 at 22:05











  • $begingroup$
    ordinary differential equation
    $endgroup$
    – user
    Mar 11 at 22:28















$begingroup$
What is the definition of the function in the multidimensional case?
$endgroup$
– user
Mar 11 at 21:27





$begingroup$
What is the definition of the function in the multidimensional case?
$endgroup$
– user
Mar 11 at 21:27













$begingroup$
@user that is what I am asking
$endgroup$
– Mosab Shaheen
Mar 11 at 21:32




$begingroup$
@user that is what I am asking
$endgroup$
– Mosab Shaheen
Mar 11 at 21:32












$begingroup$
Not exactly. For example the logistic function was introduced as solution of ODE $f_x=k f (F-f)$. What is the framework in the multidimensional case?
$endgroup$
– user
Mar 11 at 21:48





$begingroup$
Not exactly. For example the logistic function was introduced as solution of ODE $f_x=k f (F-f)$. What is the framework in the multidimensional case?
$endgroup$
– user
Mar 11 at 21:48













$begingroup$
@user I edited my question to be multivariable function. By the way what do you mean by ODE (what is the full form of ODE)?
$endgroup$
– Mosab Shaheen
Mar 11 at 22:05





$begingroup$
@user I edited my question to be multivariable function. By the way what do you mean by ODE (what is the full form of ODE)?
$endgroup$
– Mosab Shaheen
Mar 11 at 22:05













$begingroup$
ordinary differential equation
$endgroup$
– user
Mar 11 at 22:28




$begingroup$
ordinary differential equation
$endgroup$
– user
Mar 11 at 22:28










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