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

Forest cover, Forest cover: An analysis of satellite imageries and ai...

Forest cover: An analysis of satellite imageries and air photos indicates that in  1982 about  1 I%of land area in India was thick forests and the remaining 3% degraded or th

Protozoa, Classification of protozoa up to order

Classification of protozoa up to order

Mouth-to-mouth artificial respiration, Mouth-to-Mouth Artificial Respiratio...

Mouth-to-Mouth Artificial Respiration : If a casualty does not start breathing by the above process, artificial respiration must be started immediately to get a supply of air into

Air borne diseases, Air Borne Diseases: A number of diseases are caused...

Air Borne Diseases: A number of diseases are caused due to bacteria and virus that are carried in the air. When an infected person sneezes  or coughs, there is a noticeable spr

Mineral in sandstone, Why is olivine a rare mineral in sandstone? a. Wh...

Why is olivine a rare mineral in sandstone? a. What is the range in grain size of sample 33 from the Athabasca University Rock Samples Kit? (Hint: Measure the size of the gra

Write the new x and y coordinates - square in the 2d plane, 1. A square in ...

1. A square in the 2d plane has the x and y co-ordinates of (0, 0), (1, 0),   (0, 1) and (1, 1). Apply a scaling of 0.5 units in the x direction, followed by a translation of three

Explain amphoteric, Amphoteric  : Amino acids having the characteristi...

Amphoteric  : Amino acids having the characteristics of an acid and a base.

Define solute-solvent interaction, Define Solute-Solvent Interaction A ...

Define Solute-Solvent Interaction A solution, as you may already know, is a mixture of solute (present in small amount) and solvent (present in large amount). The interaction b

Light and optics, What do all optical instruments and devices have in commo...

What do all optical instruments and devices have in common?

Explain in brief about the laterite soils, Explain in brief about the Later...

Explain in brief about the Laterite soils These soils are derived from the subaerial weathering of several types of rocks, both basic and acid under climatic conditions of alte

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