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 technique are used to gain on the number pairs, Explain the technique...

Explain the techniques, which are used to gain on the number pairs. In rural areas, subscribers are usually dispersed. This is both unessential and expensive to give a dedicate

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

Inspirations of artificial intelligence, Inspirations of artificial intelli...

Inspirations of artificial intelligence: Artificial Intelligence research can be easily understood by following example in terms of how the following question has been answere

What is indexed addressing, What is Indexed addressing The location of ...

What is Indexed addressing The location of data is calculated as sum of an address specified by one of previous methods, and value of an index register. This allows an array of

How to design a sequential circuit, A sequential circuit is signified by a ...

A sequential circuit is signified by a time sequence of external inputs, external outputs and internal flip-flop binary states. So firstly a state diagram and state table is used t

Explain handlers classification, Handlers Classification In 1977, Wolfg...

Handlers Classification In 1977, Wolfgang Handler suggested a complex notation for representing the pipelining and parallelism of computers. Handler's categorization addresses

Children''s game of rock, Design a game application that plays the children...

Design a game application that plays the children's game of rock, paper, scissors. The user enters a letter indicating a choice. The Math.random method is then used to pick a value

What is user defined functions, What is User Defined Functions? User-De...

What is User Defined Functions? User-Defined Functions permit defining its own T-SQL functions that can accept 0 or more parameters and return a single scalar data value or a t

Difference between the specparam and parameter constructs, What is the diff...

What is the difference between the specparam and parameter constructs? Specparam is a special kind of parameter which is intended to specify only timing and the delay values. K

Iot, what is ardiuno explain its working

what is ardiuno explain its working

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