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

Explain types of micro-instructions, Q. Explain types of Micro-instructions...

Q. Explain types of Micro-instructions? In general micro-instruction can be classifiedin two general kinds. These are non-branching and branching. After execution of a non-bran

What is software quality assuranc, Software QA includes the whole software ...

Software QA includes the whole software development PROCESS - improving and monitoring the process, making sure that any agreed-upon standards and processes are followed, and ensur

Determine less propagation delay in synchronous-ripple ckt, You have two co...

You have two counters counting up to 16, built through negedge DFF, First circuit is synchronous and second is "ripple" as cascading, which circuit has a less propagation delay? Wh

How do we bind keys to menus for shortcuts in gimp, Make ensure that "Use d...

Make ensure that "Use dynamic keyboard shortcuts" option in "Interface" tab of Preferences dialog is enabled, then go to the menu selection you are interested in. Keeping it select

Flip flop., the counter shown Q2Q1Q0=000 The status of Q2Q1Q0 after the pul...

the counter shown Q2Q1Q0=000 The status of Q2Q1Q0 after the pulse

Goals and design principles, This is an applied unit that shows you how to ...

This is an applied unit that shows you how to assess interactive products against a selection of usability and user experience goals. It also introduces a selection of design princ

Initial thought process, Initial thought process: Design a script which...

Initial thought process: Design a script which was simple and user friendly.  Integrate procedures/functions to extract data under the hood.  I focused on giving the user the o

Explain the general model for the translation process, Write down the gener...

Write down the general model for the translation process. For the translation process the general model can be represented as given here:

What is artificial intelligence recognition, There are two goals to AI; the...

There are two goals to AI; the major one is to produce an artificial system that is about as good as or good than a human being at dealing with the actual world. The second goal is

Mathlab , Windy Grid World This assignment is to use Reinforcement Learni...

Windy Grid World This assignment is to use Reinforcement Learning to solve the following "Windy Grid World" problem illustrated in the above picture. Each cell in the image is 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