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

Super ASCII string checker, In the Byteland country a string "s" is said to...

In the Byteland country a string "s" is said to super ascii string if and only if count of each charecter in the string is equal to its ascci value in the byteland country ascii co

Why wap gateways are used, Why WAP gateways are used? The Wireless Appl...

Why WAP gateways are used? The Wireless Application Protocol Gateway is a very unique product giving semi -automatic redirection of HTML documents to WAP compatible mobile phon

Explain the storage class auto, Explain The Storage Class auto The Stor...

Explain The Storage Class auto The Storage Class auto : Variables declared within function bodies are automatic by default. Thus, automatic is the most common of the four stora

What are the main data structures used in rdbms, What are the main data str...

What are the main data structures used in the following areas: RDBMS, Network data model and Hierarchical data model? RDBMS = Array (i.e. Array of structures) Network data m

Organisational inertia - obstacle to information system, Organisational Ine...

Organisational Inertia - Obstacle To Information System This is most easily understood as problems of change and culture. Like any change process technology led change will be

Name the four steps in pipelining, Name the four steps in pipelining. F...

Name the four steps in pipelining. Fetch  : Read the instruction from the memory. Decode : Decode the instruction and get the source operand. Execute : Perform the operat

What is a cgi bin directory, A CGI bin directory is a special directory on ...

A CGI bin directory is a special directory on the server where CGI scripts are allowed to be implemented. Most servers are configured to only permit CGI scripts to be implemented f

Prints the hundreds digit in two integers , Write an application that prin...

Write an application that prints the hundreds digit  in two integers read from the keyboard. For example if the data values are 1456 and 255 respectably, output should include the

Program size for different instruction set approaches, Q. Program size for ...

Q. Program size for different Instruction Set Approaches? Assumptions: Complex Instruction is: Add C, A, B having 16 bit addresses and 8 bit data operands All opera

Show the decimal equivalent of a binary number, Q. Show the Decimal equival...

Q. Show the Decimal equivalent of a binary number? In binary numbers we have two digits 0 and 1 in addition they can also be signified as a string of these two-digits known as

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