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 fundamental nature of a computer, Q. Explain about fundamenta...

Q. Explain about fundamental nature of a Computer? The fundamental nature of a Computer is as an information transformer. So a computer should be able to take input and process

What is called checking CRC in cyclic redundancy, In cyclic redundancy chec...

In cyclic redundancy checking CRC is the? Checking CRC, in cyclic redundancy is the remainder. Normal 0 false false false EN-IN X-NONE X-NONE

What is a parsing, what is parsin? Source programmed statements are ob...

what is parsin? Source programmed statements are observed as tokens, recognizing, building block of language the task of scanning the source statement and classifying the diff

Constraint satisfaction problems, Constraint Satisfaction Problems: Fu...

Constraint Satisfaction Problems: Furthermore I was perhaps most proud of AI on a Sunday. However this particular Sunday, a friend of mine found an article in the Observer reg

How many precision resistors requires a weighted resistor, A weighted resis...

A weighted resistor digital to analog converter using N bits requires a total of ? Ans. Digital to analog converter, a weighted resistor using N bits needs a total of N precisi

Design-centered virtual manufacturing, Design-Centered Virtual Manufacturin...

Design-Centered Virtual Manufacturing This gives manufacturing information to the designer throughout the design phase. In this observing the short term and long time definitio

Explain about the history of magento?, Varien, the company that owns Magent...

Varien, the company that owns Magento, formerly worked with osCommerce. They originally planned to discontinue osCommerce but later decided to rewrite it as Magento. Magento formal

Requirements for cache simulator, Using your cache simulator and using smal...

Using your cache simulator and using smalltex.din as your memory trace determine the total miss rate, compulsory miss rate, capacity miss rate, and conflict miss rate for the follo

Find gain in db of an amplifier has 600 ohm input resistance, An amplifier ...

An amplifier has an input resistance of 600 ohms and a resistive load of 75 ohms. When it has an rms input voltage of 100 mV, the rms output current is 20mA. Find the gain in dB.

Backward chaining - artificial intelligence, Backward Chaining - Artificial...

Backward Chaining - Artificial intelligence Given that we are just interested in constructing the path, we may set our initial state to be the theorem statement and search backw

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