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

Define miss penalty, Define miss penalty? The extra time required to br...

Define miss penalty? The extra time required to bring the desired information into the cache is known as miss penalty.

Describe about general-purpose microprocessor, Q. Describe about general-pu...

Q. Describe about general-purpose microprocessor? Keeping rapidity with electronics as more and more components were fabricated on a single chip fewer chips were required to ma

Functions for mpi environment, Q. Functions for MPI Environment? Int M...

Q. Functions for MPI Environment? Int MPI_Finalize (void) It ends the MPI environment. Any MPI function cannot be called after MPI_Finalize. Each MPI process belongs to on

Control dependence, Control Dependence Segments or Instructions in a pr...

Control Dependence Segments or Instructions in a program may obtain control structures. Thus, dependency between the statements can also be in control structures. But the order

What are the blocks of microprocessor based system, What are the blocks of ...

What are the blocks of microprocessor based system 1.  The Memory and I/O System 2.  The DOS Operating System 3.  The Microprocessor

Interactive computer graphics.., graphical adapters and input methods in co...

graphical adapters and input methods in computer graphics

How e-commerce works for the customer, The customers visit the website and ...

The customers visit the website and browse through the products, looking at pictures and products details. When the customer finds his desired product, he usually adds it to his ca

Operating system, define request edge and assignment edge

define request edge and assignment edge

Conversion of decimal number 82.67 to its binary equivalent, Conversion of ...

Conversion of Decimal number 82.67 to its Binary Equivalent Ans. Firstly see the integer part 82 and determine its binary equivalent  as The Binary equivalent is (101001

Hard and soft real time systems, Q. Hard and Soft Real Time Systems? ...

Q. Hard and Soft Real Time Systems? Hard Real Time Systems that guarantee critical tasks are completed on time. Soft Real Time Systems that are less restrictive type o

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