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

Seven segment decoder, A design for the seven segment decoder is required. ...

A design for the seven segment decoder is required. The decoder has four inputs which represent a number from 0 to 9 in binary and seven outputs which are connected to the seven

Karnaugh maps, Minimisation using Boolean algebra is not always straight fo...

Minimisation using Boolean algebra is not always straight forward and sometimes it is not obvious if a further manipulation would give a simpler circuit. Karnaugh maps are a muc

Explain non-adapting routing, Explain non-adapting routing. Systems whi...

Explain non-adapting routing. Systems which do not implement adaptive routing are explained as using non-adapting or static routing, which routes by a network are explained by

Placement algorithm - process allocation, Placement algorithm - computer ar...

Placement algorithm - computer architecture: Different strategies can be taken as to how space is allocated to processes: First fit : Allocate the first hole that is la

Identify the main enhancements brought along by tkip, Question: (a) Id...

Question: (a) Identify the four main enhancements brought along by TKIP on WPA to solve the problems in WEP. (b) The term WarDriving has been frequently used while talking

How i-o interface communicate with processor, Q. How I-O interface communic...

Q. How I-O interface communicate with processor? The above illustration clearly specifies need communication between processor and I/O interface. This communication includes su

Computer architecture, describe the block diagram of a system showing the f...

describe the block diagram of a system showing the following microprocessor memory system buses

Find the minimum sop and pos expression, Q.  Find the minimum SOP and POS e...

Q.  Find the minimum SOP and POS expression for the following functions using K- Map and realize the expression using appropriate gates. Also realize SOP form using NAND-to-NAND ga

Transition table for sequential circuits, sovling questions on transition t...

sovling questions on transition table for sequential circuits

How to turn on the session support in php, The session support can be turne...

The session support can be turned on automatically at the site level, or manually in every PHP page script: * Turning on session support automatically at the site level: Set s

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