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

What do you mean by artificial intelligence, Q. What do you mean by artific...

Q. What do you mean by artificial intelligence? Show the artificial intelligence systems used widely in business. ANSWER: Artificial intelligence (AI) is the science of making

When can a user program execution be interrupted, When can a user program e...

When can a user program execution be interrupted? It won't be desirable to interrupt a program when an instruction is being executed and is in a state such as instruction decod

Define polling, Define Polling. A Polling process is used to recognize...

Define Polling. A Polling process is used to recognize the highest priority source by software means. In this process there is one common branch address for all interrupts.

Standards for scan codes, Q. Standards for scan codes ? There are 3 sta...

Q. Standards for scan codes ? There are 3 standards for scan codes: Mode1 (83-key keyboard PC, PC-XT) and Mode2 (84-key AT keyboard) and Mode3 (101-key keyboard onwards). In Mo

Feasebility study, what are the feasibility study of online result manageme...

what are the feasibility study of online result management system?

Perform binary addition, Q. Explain the following: a. BCD code b. Gra...

Q. Explain the following: a. BCD code b. Gray code c. Excess-3 code d. True complement method Q. Addition-Subtraction-Multiplication-Division: Perform Binary Addi

Scope of expert system, The scope of the experts system is very limite...

The scope of the experts system is very limited. It cannot work outside the field it is being used. The users knowledge is required to adjust to new situation. To reduce

Explain bootp (boot strap protocol), Explain BOOTP (Boot Strap Protocol). ...

Explain BOOTP (Boot Strap Protocol). TCP or IP designer observed that several of the configuration steps could be combined in a single step if a server was capable to supply mo

Explain activities of an operating system, List the major activities of an ...

List the major activities of an operating system with respect to memory management, secondary storage management and process management. Operating system is causes for followin

How the simulation is done - Weather simulation, How the simulation is done...

How the simulation is done -  Information from the satellites/sensors sent to computer -  This data is compared to information stored on files ..... -  ..... Which contain kno

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