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

Rocks, would quartzite or sandstone break more easily. please explain

would quartzite or sandstone break more easily. please explain

Air, what is the speed of light

what is the speed of light

Define the factors that influence the facilitated diffusion, Define the Fac...

Define the Factors That Influence the Facilitated Diffusion Facilitated diffusion is influenced by the following factors: Minor differences in the molecular structure ma

Why do dark colours absorb heat?, Question 1 Outline the risks of nuclear ...

Question 1 Outline the risks of nuclear fissions Question 2 Comment on semiconductor devices and their usage Question 3 In a total system approach, what are the various

Define the electrolytes in urine, Define the Electrolytes in Urine Elec...

Define the Electrolytes in Urine Electrolytes: Estimation of urine chloride, sodium, potassium is of significant importance when the electrolyte balance is disturbed.

How big is the earth, How big is the Earth? The Earth size : is neith...

How big is the Earth? The Earth size : is neither the largest nor smallest planet in our solar system. It is the largest of the non-gaseous planets (Mercury, Venus, Mars, and

What is the earth made of, What is the earth made of? The overall compo...

What is the earth made of? The overall composition of the Earth, in terms of elemental composition is as follows:   Iron 34.6% Oxygen 29.5% Magnesium 12.7% Silic

Explain the osmosis, Explain the Osmosis Osmosis, quite simply, is the ...

Explain the Osmosis Osmosis, quite simply, is the physical process, wherein there is transfer of a liquid solvent (water) through a semi-permeable membrane that does not allow

Define nerve cell morphology, Define Nerve Cell Morphology The neurons ...

Define Nerve Cell Morphology The neurons in the mammalian nervous system occur in a variety of shapes and sizes. A typical cell has a cell body, the dendrites, axon and its ter

Explain sympathetic - nerves system, Explain Sympathetic - Nerves System ...

Explain Sympathetic - Nerves System Sympathetic, as the word suggests, means to sympathize. The body sympathizes during fight, flight and fright reaction. For example, have you

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