Solution of multi-layer ann with sigmoid units, Computer Engineering

Solution of multi-layer ann with sigmoid units:

Assume here that we input the values 10, 30, 20 with the three input units and from top to bottom. So after then the weighted sum coming into H1 will be as: 

SH1 = (0.2 * 10) + (-0.1 * 30) + (0.4 * 20) = 2 -3 + 8 = 7. 

After then the σ function is applied to SH1 to give as: 

σ(SH1) = 1/(1+e-7) = 1/(1+0.000912) = 0.999 

Here don't forget to negate S. Also the weighted sum coming into H2 will be as: 

SH2 = (0.7 * 10) + (-1.2 * 30) + (1.2 * 20) = 7 - 36 + 24 = -5 

Now next σ applied to SH2 gives as: 

σ(SH2) = 1/(1+e5) = 1/(1+148.4) = 0.0067 

Furthermore from this we can see there that H1 has fired, but H2 has not. So now we can calculate the weights sum going in to output in unit O1 will be as: 

SO1 = (1.1 * 0.999) + (0.1*0.0067) = 1.0996 

And here next the weighted sum going in to output in unit O2 will be as: 

SO2 = (3.1 * 0.999) + (1.17*0.0067) = 3.1047 

However the output sigmoid unit in O1 will now calculate the output values from the network for O1 as:

 σ(SO1) = 1/(1+e-1.0996) = 1/(1+0.333) = 0.750 

and the output from the network for O2: 

σ(SO2) = 1/(1+e-3.1047) = 1/(1+0.045) = 0.957 

However therefore if this network represented the learned rules for a categorisation problem then the input triple (10,30,20) would be categorised into the category associated with O2 it means it has the larger output.

Posted Date: 1/11/2013 7:14:06 AM | Location : United States







Related Discussions:- Solution of multi-layer ann with sigmoid units, Assignment Help, Ask Question on Solution of multi-layer ann with sigmoid units, Get Answer, Expert's Help, Solution of multi-layer ann with sigmoid units Discussions

Write discussion on Solution of multi-layer ann with sigmoid units
Your posts are moderated
Related Questions
Why do we need Registers? If t cpu is cycle time of CPU which is the time taken by CPU to execute a well-defined micro-operation employing registers and t mem is memory cycl

In what way is stored program control superior to hard wired control? The SPC gains superiority over hard wired because of following points: SP C Ha

Poor human support - Obstacle to Information System The full utility of an IS will only be realised if it is properly supported by the users. Technology is never a solution in

Explain simple telephone communication system with circuit and equation of current flow in microphone? Simple Telephone Communication: In the simplest type of a telephone cir

Output comparators are used in  Theses are used in Dynamic testing of single and multiple module.


What are the different modes in that 8255 Programmable Peripheral Interface (PPI) can operate?  24 I/O lines in 3-8-bit port groups - A, B, C A, B can be 8-bit input

Explain Process Control Block Process Control Block (PCB): Information related with every process is stored in Process control Block. a) Process state b) Program counter c


ascii code add=2unit,replace=1unit,delete=3unit.convert ascii code in minimum cost