Single neurons and multilayer networks, Science

Assignment Help:

1. The output of a single neuron is given by y = f(w1x1 +w2x2 +w0x0), where x1 and x2 are inputs, x0 has the constant value 1, w0, w1 and w2 are parameters (weights), and f : R ! R is a function. Suggest a function f typically used in this context. Explain how this neuron could be used to classify inputs (x1; x2) into one of two classes. The input data consists of 8 points:

(1:4; 5) (2:3; 9) (9:6; 9) (0:3; 1) (a0; a1) (a2; a3) (a4; a5) (a6; a7)

where a0 a1 a2 a3 a4 a5 a6 a7 is your student enrolment number. Assign these data points to classes, in such a way that the classification could be learnt by a single neuron. Suggest values for w0, w1 and w2 that would achieve a correct classification, for your choice of function f. Draw a plot of the data points and the boundary line between the classes.

Explain in full detail how the weights of the single neuron in question 1 could be automatically adjusted using gradient descent i.e. how it could be trained to correctly distinguish the classes. Assume f to be the logistic function, and demonstrate why this choice simplifies the numerical calculation of the value of f'.


Related Discussions:- Single neurons and multilayer networks

Three activity to increase in the carbon dioxide, Q. List any three human a...

Q. List any three human activities which would lead to an increase in the carbon dioxide content of air (i) Burning of fuels in various processes like heating, cooking, transpor

Fire buckets-water extinguishers, Fire Buckets : All labs should be equipp...

Fire Buckets : All labs should be equipped with a fire bucket. The buckets are not used only for carrying water to a fire. This is one of their uses. The other way a fire bucket i

Health hazard data and the treatments , Here this study gives the health ha...

Here this study gives the health hazard data and the treatments for some of the compressed gases. Generally the standard procedure in gas based accidents is as follows: (1) Remo

HELP, Can you please explain gas exchange to me

Can you please explain gas exchange to me

Draw emergency disaster plan, The industry dealing with hazardous materials...

The industry dealing with hazardous materials should draw emergency disaster plan. Safety committees consisting of workers and management are required to review from time to tim

Moon rotate in one day, Comment on their location in the sky (constellation...

Comment on their location in the sky (constellation, relative altitude over the horizon, etc) and track their movement above the course of the next couple of weeks, every day comme

Spell, How long will it take me to get my ged.

How long will it take me to get my ged.

Treatment and disposal scope of first aid, Treatment: First aid treatment ...

Treatment: First aid treatment is a set of actions taken to preserve life of the casualty, prevent the conditions from becoming worse and promote his/her recovery. Disposal:

What are the factors affecting soil formation, What are the Factors Affecti...

What are the Factors Affecting Soil Formation  Parent materials formed due to weathering of rocks are transported from the place of their origin and re-deposited before they ar

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