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

Fire escapes precautions for fire prevention, Fire Escapes : When a fire b...

Fire Escapes : When a fire breaks out in a building, it is not unusual for people to panic. Sometimes flames can spread rapidly, especially if fanned by blow of air from open or b

What is medical negligence, Question 1 What is medical negligence? Expla...

Question 1 What is medical negligence? Explain with examples 2 Explain the following >>Subpoena >>Medical lien

I DONT KNOW, #question.I AM TRAYING TO DO A SCIENCE PROJECT FOR 7TH GRADE B...

#question.I AM TRAYING TO DO A SCIENCE PROJECT FOR 7TH GRADE BUT I DONT KNOW WHAT SHOULD I DO ?

Resistance, what are characteristics of resistance

what are characteristics of resistance

Segnificant figure, give the importants segnificant figure in measure quant...

give the importants segnificant figure in measure quantities

Sex, How are babys produced

How are babys produced

Psychology history, Mr. X's medical history is fairly uncomplicated [...]. ...

Mr. X's medical history is fairly uncomplicated [...]. Family medical history is significant for [...].  Mr. X's verbal responses were very articulate, and he gave long, express

Define ligases, Ligases (synthetases) These enzymes (code EC 6) catal...

Ligases (synthetases) These enzymes (code EC 6) catalyze the linkage of two molecules coupled with the hydrolytic breakdown of a pyrophosphate bond  in ATP or an analogous co

Explanation of preparation of patient for use of enema, Question 1. Des...

Question 1. Describe the factors influencing the development of nosocomial infections 2. Explain briefly the standard precautions taken for infection control 3. Explain h

In what way is crop rotation good for soil management, In what way is crop ...

In what way is crop rotation good for soil management? Continuous cultivation of a single crop over the years on the same site causes accumulation of a particular group of micr

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