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

History, describe the factors which decide broad area of scientific activit...

describe the factors which decide broad area of scientific activity

Procedures for treatment of chemical burns, Procedures for Treatment of Che...

Procedures for Treatment of Chemical Burns : Accidental splashing of chemicals onto the skin can produce burns as a result of the corrosive nature of the substance involved. It ca

Explain abo blood grouping system, Explain ABO Blood Grouping System A...

Explain ABO Blood Grouping System As the name suggest, this is based on the presence or absence of 9 antigens A and B, on the surface of RBC. If either of these antigens is pr

Procedure for disposal of chemical wastes, PROCEDURE : Your Counsellor wil...

PROCEDURE : Your Counsellor will be performing the following experiments. You are advised to observe the disposal methods carefully. Experiment 1: Test for studying miscibility

Describe about the moles, Describe about the Moles Molehills,  frequent...

Describe about the Moles Molehills,  frequently observed in some fields are composed of subsoil deposited by moles. They need a good reserve of calcium in soil.

Explain yawing reflex actions - respiratory pocess, Explain Yawing Reflex A...

Explain Yawing Reflex Actions - Respiratory Pocess Yawning:  It is a deep inspiration drawn through open mouth. Low oxygen tension in the blood may be the cause of yawning.

The carbon cycle, Carbon dioxide has been surmised as an significant compon...

Carbon dioxide has been surmised as an significant component in ceasing the last Ice Age, but its precise function has always been indecipherable as rising temperatures pondered in

Write a brief note on nccam with its purpose, Question 1 Enlist the seven ...

Question 1 Enlist the seven natural principles of the body according to Unani system Question 2 List and explain the types of treatments (chikitsas) of Ayurveda. Classify the

Nutrients, make a list of food item used at home .categorize them as health...

make a list of food item used at home .categorize them as healthy food [energy giving, body building and protective food] and unhealthy food [fried and greasy]

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