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

Explain the criteria to classify data structures, Explain the criteria to c...

Explain the criteria to classify data structures used for language processors? The data structures utilized in language processing can be classified upon the basis of the subse

Illustrate the multiplication algorithms, Multiplication Algorithms Mul...

Multiplication Algorithms Multiplication of the two fixed-point binary numbers in signed magnitude representation is done with paper and pencil through a process of successive

Expalin johnson counter, Write short note on the Johnson counter. Ans:...

Write short note on the Johnson counter. Ans:  Johnson Counter: It is a synchronous counter, where all flip-flops are clocked concurrently and the clock pulses drive the

Designing logic circuits, When designing a logic circuit with multipleoutpu...

When designing a logic circuit with multipleoutputs it is usual to treat it as several circuitseach with one output. So for our example wewould design three circuits; one with outp

What is the use of system.data.dlinq.dll, System.Data.DLinq.dll gives funct...

System.Data.DLinq.dll gives functionality to work with LINQ to SQL.

What is SSTF, SSTF stands for ? Ans. Shortest-Seek-time-first scheduli...

SSTF stands for ? Ans. Shortest-Seek-time-first scheduling.

Explain use of parallel sections construct, Q. Explain use of parallel sect...

Q. Explain use of parallel sections construct? This illustration explains use of parallel sections construct. Three functions, fun1, fun2, and fun3, all can be executed simulta

Why schottky transistors preferred over other transistors , In digital ICs,...

In digital ICs, Schottky transistors are preferred over normal transistors because of their ? Ans. Lower  propagation  delay  in digital ICs, as  shottky  transistors  reduce

What is the difference between tcp and udp, TCP and UDP are both transport-...

TCP and UDP are both transport-level protocols. TCP is designed to give reliable statement across a variety of reliable and unreliable networks and internets. UDP gives a conne

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

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