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

Shm, composition of two shm in right angles to each other to havingg time p...

composition of two shm in right angles to each other to havingg time period in the ratio 1:2

Explain about instruction register and flags, Q. Explain about Instruction ...

Q. Explain about Instruction Register and Flags? The Instruction Register: It comprises the operation code (opcode) and addressing mode bits of the instruction. It assists in

How does VB.NET achieve polymorphism, How does VB.NET/C# achieve polymorphi...

How does VB.NET/C# achieve polymorphism?  VB.Net / C# give polymorphism through the following mechanisms: 1. Inheritance - base class gives overridable methods which are re-

Illustrate basic strategy used in raid, Q. Illustrate Basic strategy used i...

Q. Illustrate Basic strategy used in RAID? Basic strategy used in RAID is to replace large capacity disk drive with multiple smaller capacity disks. Data on these disks is dist

What is the use of the statement leave to list-processing, What is the use ...

What is the use of the statement Leave to List-processing? Leave to List-processing statement is used to make a list from a module pool.  Leave to list processing statement per

What is full trust, What is Full Trust? Your code is permitted to do an...

What is Full Trust? Your code is permitted to do anything in the framework, meaning that all (.Net) permissions are granted. The GAC has Full Trust because it's on the local HD

One of the fault base testing techniques, One of the fault base testing tec...

One of the fault base testing techniques is:- Mutation testing is the fault base testing.

Java, A string S is said to be "Super ASCII", if it contains the character ...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Sosail studies, whitch goods did the new england colonies exportto england ...

whitch goods did the new england colonies exportto england and what did they get in return

What is jmx architecture, JMX is based on a 3-level architecture:   ?...

JMX is based on a 3-level architecture:   ? The Probe level have the probes (known as MBeans) instrumenting the resources. Also known as the Instrumentation level. ? The A

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