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

Explain functions of the pancreas - neutralising action, Explain Functions ...

Explain Functions of the Pancreas - Neutralising action Neutralising action: Pancreatic juice is alkaline in nature and acid chyme is rendered alkaline by the strong alkalinity

To study the formation of a drop of liquid, To study the formation of a dro...

To study the formation of a drop of liquid Gently pour aniline into a large beaker of cold water unless a layer about half an inch deep accumulates at the bottom. Place the bea

The eye, what isthe optic nerve

what isthe optic nerve

Describe the procedure for import of cosmetics in us and uk, Question 1 De...

Question 1 Describe all the five scenarios as recommended by Mashelkar's task force for biopharmaceuticals Question 2 Write in detail about scientific review required in US f

Electronics, what is meant by three phase signal..

what is meant by three phase signal..

Explain the categories of nerves system, Explain the Categories of Nerves S...

Explain the Categories of Nerves System The nerves are divided into two systems: sympathetic and parasympathetic. They constitute the autonomic system (auto: independent from t

Food as fuel for the body machine, Food as fuel for the body machine: B...

Food as fuel for the body machine: Body requires food for internal as well as external activities and for growth. Another way of  looking at this is that the body requires ener

Name the primary minerals present in an igneous rock, a)  Name the primary...

a)  Name the primary minerals present in an  igneous rock.  a )  Quartz (SiO2), feldspars, amphiboles, pyroxenes and micas are the most common primary minerals in igneous  rock

Brown DwaRFS, how can isolated brown dwarf passing between another star and...

how can isolated brown dwarf passing between another star and the earth could be detected?

Political role of communication, Political role of communication Commun...

Political role of communication Communication has an Important role in political  and social awakening. During our freedomstruggle,  the leaders communicated with the people di

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