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

Which way do twin twist props on a boat rotate, Q. Which way do twin twist ...

Q. Which way do twin twist props on a boat rotate when propelling the boat forward? Answer:- In opposite direction however they are designed to propel the boat forward eve

Classify computer systems according to capacity, Classify computer systems ...

Classify computer systems according to capacity. How they are different from computers according to the classification of technology. Provide comparative study also

What is dynpro, What is dynpro?What are its components ? A dynpro (Dyna...

What is dynpro?What are its components ? A dynpro (Dynamic Program) having of a screen and its flow logic and controls exactly single dialog steps. The dissimilar components

Briefly explain array processing in detail, Array Processing We have se...

Array Processing We have seen that for executing vector operations the pipelining conception has been used. There is other method for vector operations. If we have array of n p

Minimum power dissipation of digital logic family, Which digital logic fami...

Which digital logic family has minimum power dissipation ? Ans. The minimum power dissipation of digital logic family is CMOS. CMOS being an unipolar logic family, occupy a to

Search mechanisms in prolog - artificial intelligence, Search mechanisms in...

Search mechanisms in Prolog We can utilize this simple Prolog program to describe how Prolog searches: president(X) :- first_name(X, georgedubya), second_name(X, bush). p

Explain about multidimensional features present in olap, Multidimensional s...

Multidimensional support is very necessary if we are to contain multiple hierarchies in our data analysis. Multidimensional feature permits a user to examine business and organizat

Function name or connective symbol, Function name or connective symbol: ...

Function name or connective symbol: Whether if we write op(x) to signify the symbol of the compound operator then predicate name and function name or connective symbol are the

Environment of the packet flow, Q. Environment of the Packet Flow? Prot...

Q. Environment of the Packet Flow? Protocol stack used on Internet is referred to as TCP/IP protocol stack. If we were to follow the path that message "Hello computer 5.6.7.8!"

Limitation identified in amdahls law, Q. Limitation identified in Amdahls l...

Q. Limitation identified in Amdahls law? There is one main limitation identified in Amdahl's law. As said by Amdahl's law workload or problem size is forever fixed as well as n

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