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 autoregulation function of kidneys, Explain the Autoregulation ...

Explain the Autoregulation function of kidneys The kidneys possess the property of autoregulation. This means that the blood flow in the kidneys remain constant. It is independ

Digestive system, size and length of val vulae connenvitis

size and length of val vulae connenvitis

Phlebotomy, what is the name of the National organization that sets standar...

what is the name of the National organization that sets standards for phlebotomy procedures?

Social scientists, Write an essay to answer the following question: How ca...

Write an essay to answer the following question: How can social scientists explain human behaviour scientifically?Discuss the merits and limitations of the applications of the sci

Explain transport - functions of plasma proteins, Explain Transport - Funct...

Explain Transport - Functions of Plasma Proteins Hormones and several other small molecules travelling in the plasma would themselves get filtered in the renal glomeruli and ge

Psychology, how a student nurse can apply the knowledge of mental health an...

how a student nurse can apply the knowledge of mental health and mental hygiene in her personal and professional life

Explain structure of steroids, Explain structure of  steroids Basic s...

Explain structure of  steroids Basic structure of  steroids consist of  three cyclohexane rings (1, 2, 3 rings) and one cyclopentane ring (ring 4)  as  in  the Figure .  The p

Atmosphere, Atmosphere: Atmosphere is an envelope of the most useful ga...

Atmosphere: Atmosphere is an envelope of the most useful gases that cover the planet earth. It makes our planet unique and enables life to prosper. If  the earth did not have a

Conversion of oxaloacetate to phosphoenolpyruvate, Conversion  of  oxaloa...

Conversion  of  oxaloacetate to phosphoenolpyruvate Conversion  of  oxaloacetate to phosphoenolpyruvate:  In  this  reaction, oxaloacetate and guanosine triphosphate (GTP) are

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