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 the hyposecretion during childhood, Explain the Hyposecretion durin...

Explain the Hyposecretion during Childhood Hyposecretion during childhood: Due to deficiency of growth hormone or its receptors, stunted growth of the skeleton and organs occur

Which of the following would NOT affect gass exchange?, A) thickness of the...

A) thickness of the respiratory membrane B) gas concentration gradients C) decrease in pulmonary ventilation D) lung surface area E) no exceptions

Discuss the important gastro intestinal procedures, Question 1 Explain ...

Question 1 Explain the following disorders a) Thalassemia b) Hemophilia c) Tetralogy of Fallot d) Ac

What is tocopherols, What is  tocopherols Vitamin  E  refers  to a  gr...

What is  tocopherols Vitamin  E  refers  to a  group  of  compounds known  as  which  are the derivatives of a parent compound called as  'tocol'. Four tocopherols namely a, P,

Twenty point programme and communication, The Twenty Point Programme and Co...

The Twenty Point Programme and Communication : In view of what we have discussed above, it may be useful to have a look at the Twenty Point Programme  (1986), which the Governme

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

Elements of the system, What is an example of the elements of the systems

What is an example of the elements of the systems

Types of soils, Types of soils Secure samples of soil from as many plac...

Types of soils Secure samples of soil from as many places as possible and place in glass jars. Try to get examples of a sandy soil, a loam soil, a clay soil, a soil rich in dec

Anthropolgy, Why is the idea of modern human "races" is not considered a va...

Why is the idea of modern human "races" is not considered a valid biological concept, and why is the idea of clinal variation more acceptable to biologists?

Plasticity and different forms of plasticity, The functional organization o...

The functional organization of the human brain—for instance that the temporal lobe processes auditory and occipital cortex visual information—is largely not hard-wired, unlike in s

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