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

Hygiene, HYGIENE : We all would agree that chemical hazards can be prevent...

HYGIENE : We all would agree that chemical hazards can be prevented to a certain extent by maintaining a good hygiene. Hygiene in this context can be discussed in the following th

Explain activation of enzyme - functions of bile, Explain Activation of enz...

Explain Activation of enzyme - Functions of Bile Activation of enzyme: Bile salts activate pancreatic lipase. Lipase, as you already know, is a fat - splitting enzyme and split

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?

Define co-transport - secondary active transport, Define Co-transport - Sec...

Define Co-transport - Secondary Active Transport Determine If the two substances whose transport is coupled, move in similar direction, the phenomenon is known as co-transport

Explain the submucous layer, Explain the Submucous Layer This layer con...

Explain the Submucous Layer This layer consists of loose areolar connective tissue. There are lymph vessels, plexuses of blood vessels and nerves. The nerve plexus is meissner'

Gases -hazard identification, Gases : Critical temperature is the A substa...

Gases : Critical temperature is the A substance which has a critical temperature below 50°C, has a vapour temperature above which pressure of more than 3 bars absolute (highly

Define the regulation of glucocorticoid secretion, Define the Regulation of...

Define the Regulation of Glucocorticoid Secretion Glucocorticoid secretion is mainly controlled by ACTH or adrenocorticotropic hormone from the anterior pituitary gland. In any

COUNSELORS AND GROUPS, Support groups are separate from clinical therapy gr...

Support groups are separate from clinical therapy groups. Why is it important for substance use disorders counselors to know what happens in non-clinical support groups? How could

Explain the diaphragm, Explain the Diaphragm The diaphragm is a muscula...

Explain the Diaphragm The diaphragm is a muscular membranous partition separating the abdominal and thoracic cavities and functioning in respiration. It consists of a central

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