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 about server synchronization, Q. Explain about Server synchronizati...

Q. Explain about Server synchronization? Server synchronization: It updates atom by server process of requesting process. In this method an atom acts as a unique update server.

How different are interface and abstract class in .net, How different are i...

How different are interface and abstract class in .Net? Abstract classes cannot be instantiated it can have or can't have abstract method basically known as must inherit as th

The need of parallel computation, The Need Of Parallel Computation With...

The Need Of Parallel Computation With the advancement of computer science (CS), computational speed of the processors has also improved many a time. Moreover, there is certain

Which scheduling in cpu is allocate for least cpu-burst time, The schedulin...

The scheduling in which CPU is allocated to the process with least CPU-burst time is called? Ans. Shortest job first Scheduling wherein CPU is allocated to the process with lea

Iterative deepening search, Iterative Deepening Search: So, breadth fi...

Iterative Deepening Search: So, breadth first search is always guaranteed to find a solution (if one exists), actually it eats all the memory. For the depth first search, ther

What is bus arbitration, Q. What is Bus arbitration? In this technique,...

Q. What is Bus arbitration? In this technique, I/O interface first needs to control bus and only after that it can request for an interrupt. In this technique because only one

How society is affected thorugh internet, How society is affected thorugh I...

How society is affected thorugh Internet Buying goods and services (for example banking) over the internet has both negative and positive aspects on society. These can be expl

Coso framework, The COSO Framework consists of six broad classes of control...

The COSO Framework consists of six broad classes of control activities. Initial responses should identify and define one of the broad classes (Ex: segregation of duties or indepe

Can we use write statements in screen fields, Can we use WRITE statements i...

Can we use WRITE statements in screen fields? If not how is data transferred from field data to screen fields? We cannot write field data to the screen using the WRITE stateme

Show the divide and conquer approach, Q. Show the Divide and Conquer approa...

Q. Show the Divide and Conquer approach? Divide and Conquer approach is the way of making a complicated problem easier.  In this approach larger problem (System) is divided int

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