Sigmoid units, Computer Engineering

Assignment Help:

Sigmoid units:

Always remember that the function inside units take as input the weighted sum, S and of the values coming from the units connected to it. However the function inside sigmoid units calculates the following value that given a real-valued input S: is as

2248_Sigmoid units.png

Whereas e is the base of natural logarithms, e = 2.718... 

Where we plot the output from sigmoid units given various weighted sums as input that looks remarkably like a step function as: 

983_Sigmoid units1.png

Obviously by getting a differentiable function that looks like the step function was the whole point of the exercise. Moreover, not only is this function differentiable but  there the derivative is fairly simply expressed in terms of the function itself as: 

970_Sigmoid units2.png

So note that the output values for the σ function range between but never make it to 0 and 1. It means that e-S is never negative so the denominator of the fraction tends to 0 as S gets very big in the negative direction and then tends to 1 as it gets very big in the positive direction. In fact this tendency happens fairly quickly as: in the middle ground between 0 and 1 is rarely seen means the sharp or near step in the function. Just because of it looking like a step function that we can think of it firing and not-firing as in a perceptron as: if a positive real is input and the output will generally be close to +1 then a negative real is input the output will generally be close to -1.


Related Discussions:- Sigmoid units

Explain the structure of virtual enterprise, Explain the Structure of Virtu...

Explain the Structure of Virtual Enterprise. The virtual enterprise can be a suitable structure to explore the emerging opportunities for forming value in the information socie

Presentation of the report, This will be based on presentation of the repor...

This will be based on presentation of the report, complexity of the task, degree of completion and uniqueness of your problem.  As a part of this question, you should also inclu

Physics, #questionabut diffraction ..

#questionabut diffraction ..

What is called pcp, What is called PCP? The phenomenon of un-decidabili...

What is called PCP? The phenomenon of un-decidability is not confined to problems concerning automata. An un-decidable problem concerning on simple manipulation of strings is k

Show the categories of web browser, Q. Show the categories of Web browser? ...

Q. Show the categories of Web browser? The two basic categories of Web browser are: • Text-only browsers: A text-only browser like Lynx allows you to view Web pag

Facsimile , FACSIMILE : This is often known as 'fax' and it represents the...

FACSIMILE : This is often known as 'fax' and it represents the interface between reprographic and computer technology. By using fax, the contents of a sheet of paper (text or illu

Basic computer, The use of Information Technology (IT) is well known. IT ha...

The use of Information Technology (IT) is well known. IT has turn into a must for survival of all business houses with growing information technology trends. Computer is main compo

Programmed input - output technique for computers, Q. Programmed input - ou...

Q. Programmed input - output technique for computers? Programmed input/output is a useful I/O technique for computers where hardware costs need to be minimised. Input or output

What is digital signature, Digital Signature is Software to recognize si...

Digital Signature is Software to recognize signature

Telecommunications, with poisson arrival of two calls per minute what is th...

with poisson arrival of two calls per minute what is the probability that more than three calls will arrive in two minutes? that is the time during which at least 4 calls will arr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd