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

Drag and drop state numbers and functions in vb, State 0 Source control is ...

State 0 Source control is being dragged with the variety of a target. 1 Out of the variety of a target. 2 One position in the target to one another.

Process of interaction design, This unit starts by discussing the importanc...

This unit starts by discussing the importance of involving users in the interaction design process, explaining the reasons why user involvement can be useful, the different degrees

Computer representation for the negative integer, Everything stored on a co...

Everything stored on a computer can be represented as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same string

Explain the types of computer architecture, Explain the types of computer a...

Explain the types of computer architecture Computer architecture can be divided into three main categories: Instruction Set Architecture, or ISA, is the image of a computing

What are the different tones used in strowger telephony, What are the diffe...

What are the different tones used in strowger telephony? Explain with the help of waveforms and the timings. Dial Tone: it is used to indicate that the exchange is ready to r

What is a null object in c++, It is an object of a number of classes whose ...

It is an object of a number of classes whose purpose is to indicate that a real object of that class does not exist. One common use for a null object is a return value from a membe

Define categorization of parallel computers, Types Of Categorization Th...

Types Of Categorization The subsequent categorization of parallel computers has been identified: 1)  Categorization based on the instructions and data streams  2)  Catego

Basics of caches - computer architecture, Basics of Caches: "The cache...

Basics of Caches: "The caches are situated on basis of blocks, the shortest amount of data which may be copied between 2 adjacent levels at a time. "If requested data by th

What is fork, What is Fork Clk gets its value after 1 time unit, rese...

What is Fork Clk gets its value after 1 time unit, reset after 10 time units, enable after 5 time units, data after 3 time units. All the statements are executed in parallel.

Multidimensional arrays defined in terms of an array, How is multidimension...

How is multidimensional arrays defined in terms of an array of pointer? An element in a multidimensional array like two-dimensional array can be shown by pointer expression as

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