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

What is data in computers, Q. What is data in computers? In modern digi...

Q. What is data in computers? In modern digital computers data is signified in binary form by employing two symbols 0 and 1. These are known as binary digits or bits however da

What is pure semiconductors, Q. What is Pure semiconductors? Pure semic...

Q. What is Pure semiconductors? Pure semiconductors, known as intrinsic semiconductors, have very few charge carriers and may hence be classified as almost insulators or very p

What is schedulers, What is schedulers?  A process migrates between the...

What is schedulers?  A process migrates between the various scheduling queues throughout its life time. The OS must select processes from these queues in some fashion. This sel

Example to show a single digit, Q. Example to show a single digit ? Dis...

Q. Example to show a single digit ? Displaying a single digit (0 to 9) Presume that a value 5 is stored in BL register then to output BL as ASCII value add character ‘0' to

Survey of advanced applications, 1. Conduct a literature survey of advanced...

1. Conduct a literature survey of advanced applications of the finite element method for engineering design and analysis. 2. Identify at least one application, which interests y

Explain common control, Explain Common Control. Common Control: Those...

Explain Common Control. Common Control: Those systems wherein the control subsystem is outside the switching network are termed as common control switching system. Therefore,

Explain the basic syntactic constructs through reductions, Recognition of b...

Recognition of basic syntactic constructs through reductions, this task is performed by? By Syntax analysis, recognition of fundamental syntactic constructs through reductions

Probabilistic hough transformation, The probabilistic Hough transform uses ...

The probabilistic Hough transform uses random sampling instead of an accumulator array. In this approach the number of random samples r, is not specified in the OpenCV call, but

What is interaction design process, You are being employed as a novice inte...

You are being employed as a novice interaction designer on a project to develop a public kiosk providing information about the exhibits available in a science museum. Consider how

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