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

Digital communication systems, a pcm has the following parameters a maximum...

a pcm has the following parameters a maximum analog input frequency of 4khz maximum decoded voltage at the receiver of 2.55v minimum dr of 6db compute minimum sampling rate,minimum

Illustrate an object model for university system, An object model for unive...

An object model for university system Establishing relationship among various classes in the system is the primary activity. Here, we have a simple model of a University System

What is common language runtime, What is "Common Language Runtime" (CLR)?  ...

What is "Common Language Runtime" (CLR)?  CLR is .NET equivalent of Java Virtual Machine (JVM). It is the runtime that changes a MSIL code into the host machine language code,

Recent parallel programming models, A model for parallel programming is an ...

A model for parallel programming is an abstraction in addition its machine architecture is independent. A model is able to be implemented on different hardware and memory architect

State disadvantages of object oriented analysis design, State Disadvantages...

State Disadvantages of object oriented analysis design You know that OO methods only create functional models within objects. There is no place in methodology to design a compl

Evaluation stack architecture, Q. Evaluation Stack Architecture? A stac...

Q. Evaluation Stack Architecture? A stack is a data structure which implements Last-In-First-Out (LIFO) access policy. You can add an entry to the with a PUSH(value) as well as

Explain about operand address calculation, Q. Explain about Operand Address...

Q. Explain about Operand Address Calculation? In actual machines effective address can be a register address, memory or I/O port address. Register reference instructions for ex

Define about classes of object oriented modelling, Define about classes of ...

Define about classes of object oriented modelling A class is a collection of things, or concepts that have the same properties. Each of these concepts or things is known an obj

Projects on cluster computing, Some famous projects on cluster computing ar...

Some famous projects on cluster computing are as follows: High Net Worth Project: (developed by: Bill McMillan, JISC NTI/65 - The HNW Project, University of Glasgow, The prim

What are attributes, What are Attributes?  Attributes are declarative ...

What are Attributes?  Attributes are declarative tags in code that insert additional metadata into an assembly. There exist two types of attributes in the .NET Framework: Pred

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