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

Angiography, What is electromechanical safety in Angiography? Is it conside...

What is electromechanical safety in Angiography? Is it considered in quality control of the system?

Calculate the specimen of carbon 14, Carbon l4 with a half-life of 5,568 ye...

Carbon l4 with a half-life of 5,568 years is used to date a sample of wood. Sample has l/8 the carbon l4 contained in a living tree of same species. Approximately how old is specim

Define age related changes in nervous system, Define age related changes in...

Define age related changes in Nervous system Varying degrees of atrophy in neuronal areas can be observed neurotransmitter functions are hampered. The cholinergic deficits seen

How are clouds formed?, Q.How are clouds formed? During day time, on bei...

Q.How are clouds formed? During day time, on being heated, a large amount of water evaporates from various water bodies and goes into the air. A part of this water vapour also r

Explain the mechanism of blood coagulation, Question 1. Explain the mec...

Question 1. Explain the mechanism of blood coagulation 2. Which are the different tests done for investigation of a bleeding disorder? Explain any two tests 3. Explain th

How we present atoms without drawing the subatomic particles, How do we rep...

How do we represent atoms without drawing all the subatomic particles? Atoms can be represented by their chemical symbols. For example, H is hydrogen, He is helium, etc. All t

Greenhouse effect, Greenhouse effect: Scientists  have reason to believ...

Greenhouse effect: Scientists  have reason to believe that air pollution. both due to carbon particles or soot and carbon dioxide would affect weather. A rise in surface temper

STRUCTURE OF LEAF, #2 DESCRIBE THE APPEARANCE OF THE STOMATE AND THE GUARD ...

#2 DESCRIBE THE APPEARANCE OF THE STOMATE AND THE GUARD CELLS.

Major coenzyme derivatives of riboflavin, Riboflavin Riboflavin   has...

Riboflavin Riboflavin   has  two  major coenzyme  derivatives,  namely in  mononucleotide (FM)  which  is the active component of riboflavin and is formed by the addition of a

Method for moderately volatile liquid wastes-chemical wastes, For moderatel...

For moderately volatile liquid wastes : Spillage of moderately volatile liquids could be absorbed on sand, shovelled into bucket(s) and transported to a safe open area for evapora

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