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

Illustrate the system architecture, Question: a) Explain why pervasive...

Question: a) Explain why pervasive computing can be termed as a "technology that disappears". b) List and describe four main components of a MOTE used in Wireless Sensor N

C language, Smugglers are becoming very smart day by day. Now they have dev...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Typewriters with special attachments, Typewriters with special attachments ...

Typewriters with special attachments Certain special attachments can be used to the typewriter for typing work of a special nature. These are: The continuous stationery dev

What are the stages of data mining, What are the stages of data mining? ...

What are the stages of data mining? The procedure of data mining comprises three stages, which are given below: a) The initial exploration b) Model building c) Deploym

Explain about the functionality of olap, Hyper cube or multidimensional cub...

Hyper cube or multidimensional cube forms the core of OLAP system. This having of measures which are arranged according to dimensions. Hyper cube Meta data is formed by star or sno

Microprocesseor, In8085 are of the following statements is not true.A) Co-p...

In8085 are of the following statements is not true.A) Co-processor is interfaced in max mode. B) Co-processor is interfaced in MIN mode C )Co-processor is interfaced in max/min mod

Mathematical applications, The current 32 and 64 bit machines can represent...

The current 32 and 64 bit machines can represent integers of around 9 digits and 30 digits respectively, while various scientific and mathematical applications have to represent in

What is index register, What is index register? In index mode the effec...

What is index register? In index mode the effective address of the operand is formed by adding a constant value to the contents of a register. The register used might be either

Calculate the complexity of sorting algorithms, How do you calculate the co...

How do you calculate the complexity of sorting algorithms? Find the complexity of Insertion sort and Bubble Sort.                 The difficulty of sorting algorithms depends o

Features of read-only memory, Q. Features of read-only memory? ROMs are...

Q. Features of read-only memory? ROMs are memories on which it's not possible to write data when they are on-line to computer. They can only be read. This is reason why it is k

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