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

Recursive procedures are implemented, Recursive procedures are implemented ...

Recursive procedures are implemented by using Recursive procedures are executed by using stacks due to stacks are LIFO data structure and we require this feature to store retur

Explain advantages and disadvantages of macro pre-processor, What are the a...

What are the advantages and disadvantages of macro pre-processor? Advantages Any of existing conventional assembler can be improved in this way to incorporate macro proces

Write the game using writing functions, The year is 2199. For many generati...

The year is 2199. For many generations, the robotic Cyleth have faithfully served humanity. However, under the direction of the computerized superintelligence Skyweb, they have tur

Explain about aggregations, OLAP can process difficult queries and give the...

OLAP can process difficult queries and give the output in less than 0.1 seconds, for it to achieve like performance OLAP uses aggregations. Aggregations are built by aggregating an

Advanced topics of html, HTML is made up of many elements, a lot of them ar...

HTML is made up of many elements, a lot of them are overlooked. Though you can develop a Website with the basic knowledge of HTML, to take benefit of many of the advanced features,

What is page-stealer process, What is Page-Stealer process? This is the...

What is Page-Stealer process? This is the Kernel process that makes rooms for the incoming pages, by swapping the memory pages that are not the part of the working set of a pro

Give brief description about arithmetic processing unit, Give brief descrip...

Give brief description about arithmetic processing unit To execute the arithmetic operations there is a separate section known as arithmetic processing unit in CPU. The arithme

What are the advantages and disadvantages of a smart card, What are the adv...

What are the advantages and disadvantages of a Smart Card?    Advantages of Smart Card: 1. It gives convenience & support for multiple currencies over borders. 2. Used

Determine maximum possible time of 4-bit synchronous counter, A 4-bit synch...

A 4-bit synchronous counter uses flip-flops with propagation delay times of 15 ns each.  The maximum possible time required for change of state will be ? Ans. 15 ns since in sy

Describe about minicomputers, Q. Describe about Minicomputers? Minicomp...

Q. Describe about Minicomputers? Minicomputers, developed in the early 1960s, are high-performance, general-purpose multi user computers. These are also designed for real-tim

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