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

K-nearest neighbor for text classification, Assignment 2: K-nearest neighbo...

Assignment 2: K-nearest neighbor for text classification. The goal of text classification is to identify the topic for a piece of text (news article, web-blog, etc.). Text clas

What is a cooperation model, What is A cooperation model A cooperation ...

What is A cooperation model A cooperation model defines the way interdependencies are established by cooperative interactions. We recognize two basic roles services can play: c

Explain about the acoustic tablet, Explain about the Acoustic tablet Ac...

Explain about the Acoustic tablet Acoustic (or sonic) tablet use sound waves to detect a stylus position. Either strip microphones or point microphones can be used to detect th

Define race condition, Define race condition.  When several process acc...

Define race condition.  When several process access and manipulate similar data concurrently, then the outcome of the implementation depends on particular order in which the ac

Major task of a computer to carry out instruction execution, The major task...

The major task of a computer is to carry out instruction execution. The key questions that can be asked in this respect are: (a) how are the instructions provided to computer? And

What is encapsulation technique, Hiding data within the class and making it...

Hiding data within the class and making it available only by the methods. This method is used to protect your class against accidental changes to fields, which might leave the clas

Explain about the postpurchase interaction briefly, Explain about the postp...

Explain about the postpurchase interaction briefly. Postpurchase Interaction: Customer support and service: The considerations at such can be explained by the followin

Minimize the logic function using NAND gate, Minimize the logic function F(...

Minimize the logic function F(A, B, C, D) = ∑ m(1,3,5,8,9,11,15) + d(2,13) using NAND gate with help of K-map. Ans. Realization of given expression by using NAND gates:  In

Excess 3 codes, Explain Excess 3 Codes Ans. Excess 3 Codes 1....

Explain Excess 3 Codes Ans. Excess 3 Codes 1. This is the other form of BCD code. All decimal digits are coded in 4 bit binary code. 2. The code for all decimal di

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