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 asphyxia - histotoxic hypoxia, Explain Asphyxia - Histotoxic Hypoxi...

Explain Asphyxia - Histotoxic Hypoxia Improper aeration of blood produces a series of pathological manifestation and ultimately death. The symptoms are collectively called asph

Factors which decide broad area of scntfc actvty, describe the factors whic...

describe the factors which decide the brad area of scientific activity

Continental drift/plate tectonic, what is the name of the theory that expla...

what is the name of the theory that explains plate movement?

What layer of the earth does magma form, What layer of the earth does magma...

What layer of the earth does magma form? Magma is part of the layer just under the crust. It tell us that while everything seems solid underfoot in fact that is not quite so

Explain the gynaecological morbidity, Explain the Gynaecological morbidity ...

Explain the Gynaecological morbidity Gynaecological morbidity, which covers any condition, disease or dysfunction of the reproductive system that is not related to pregnancy, a

Food chain, a food chain that does not start with plants??

a food chain that does not start with plants??

Powerpoint presentation on pulmonary embolism, Collaborative Learning Commu...

Collaborative Learning Community: a) Literature Review Presentation i) In this assignment, the instructor will place the students into groups. You will be required to work to

Explain haloenzyme, Haloenzyme :- A  whole  enzyme,  as a  complete  and...

Haloenzyme :- A  whole  enzyme,  as a  complete  and  functional molecule. Generally, a holoenzyme consists of a polypeptide portion (an apoenzyrne) and at least one cofactor or

Explain increase in sound wave pressure through middle ear, Explain Increas...

Explain Increase in Sound Wave Pressure through Middle Ear There are certain factors which contribute to an approximately eighty-fold increase in sound wave pressure through mi

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