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

Discuss in detail the subscriber loop systems, Discuss in detail the subscr...

Discuss in detail the subscriber loop systems. Subscriber Loop System: Every subscriber in a telephone network is linked usually to the nearest switching office by means of w

What is an assembly language, An assembly language is a? Ans. Low level...

An assembly language is a? Ans. Low level programming language is an assembly language.

What is linked list, Q. What is Linked List? A linked list is a data st...

Q. What is Linked List? A linked list is a data structure formed by zero or more nodes linked by pointers. Every node has two parts as shown in Figure below. One of them is inf

Logical user-centered interactive design methodology, Question: Logical...

Question: Logical User-Centered Interactive Design Methodology is a methodology that identifies six clear stages to help in software development while keeping the user in mind.

Explain the virtual memory, What is virtual memory?  Virtual memory is ...

What is virtual memory?  Virtual memory is a technique that permits the execution of processes that may not be completely in memory. It is the separation of user logical memory

Nmknl''knl, Ask question bhjjnjnnjnjm#Minimum 100 words accepted#

Ask question bhjjnjnnjnjm#Minimum 100 words accepted#

Including the titles, Your company is planning a party for employees, and y...

Your company is planning a party for employees, and you have been asked to set up a spreadsheet to track the attendees and to measure the associated cost. Every employee is permitt

Simulate a worm propagation considering traffic delay, At time t when an in...

At time t when an infected machine scans and finds a vulnerable machine, the vulnerable one will be compromised and start to scan and infect others at time t+X, where X is a r.v. f

Illustrate about the three state table buffers, Three state table buffers ...

Three state table buffers Three state table buffers: A bus system can be constructed with the help of three state gates instead of multiplexers. A three states gate is digital

Define variants of turing machine, Define variants of Turing Machine?  ...

Define variants of Turing Machine?  Variants are  Non deterministic turing machine.  Mutlitape turing  machine.  Enumerators

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