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

K map explanation, K map explanation for mod 5 up synchronous counter ?

K map explanation for mod 5 up synchronous counter ?

What is FIFO, What is FIFO? FIFO is used as buffering element or queui...

What is FIFO? FIFO is used as buffering element or queuing element into the system that is by common sense, is needed only while you slow at reading than the write operation.

Find minimal expression for sop, Consider the following expression. Assume ...

Consider the following expression. Assume that complement inputs are available. F(A,B,C,D) = ∑m (0,1,3,5,9,12,14) + ∑d (4,10,15) 1. Find minimal expression for SOP. Draw gate ne

Explain recursive descent parsing, Explain Recursive Descent Parsing It...

Explain Recursive Descent Parsing It is a top down parsing with no backtracking. This parsing method uses a set of recursive processes to perform parsing. Most important advant

Programming a 64-bit processor, You are to write a C program called big_mul...

You are to write a C program called big_mult.c that multiplies two unsigned 64-bit integers, x and y, read from the command line. The output is a pair of unsigned 64-bit integers r

Differentiate between protected and real modes of an intel, Differentiate b...

Differentiate between protected and real modes of an Intel microprocessor Operation of Real mode interrupt: When microprocessor completes executing the current instruction, it

Colour - elements of composition, Colour The use of colour is consider...

Colour The use of colour is considered by many to be one of the most important areas in composition. Colours can be used in isolation or specific combinations to create partic

The new optimal solution, Electrocomp's management realizes that it forgot ...

Electrocomp's management realizes that it forgot to contain two critical constraints. In particular, management decides that to make sure an adequate supply of air conditioners for

Sun and nis law, Q. What is Sun and Nis Law? The Sun and Ni's Law is a ...

Q. What is Sun and Nis Law? The Sun and Ni's Law is a simplification of Amdahl's Law and Gustafson's Law. The basic concept underlying Sun and Ni's Law is to find solution to a

Define target _blank, TARGET = "_blank" "_blank" opens new document in...

TARGET = "_blank" "_blank" opens new document in a new window. Run the code given in Figure and check how it works. This value doesn't require the use of any frames. "_blank"

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