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 process of secretion, Explain the Process of Secretion In t...

Explain the Process of Secretion In the process of filtration through the glomerulus, the non-threshold substances and drugs are not cleared from the blood because the blood do

Explain mouth to mouth respiration, Explain Mouth To Mouth Respiration ...

Explain Mouth To Mouth Respiration If no instrument is available, one's own lung may be used as a positive pressure pump. Air may be blown into the lungs of the subject by way

Explain the functions of inner ear, Explain the Functions of Inner Ear ...

Explain the Functions of Inner Ear The inner ear plays an important function in the detection of sound. In the last section, we left middle ear function at the point where the

Hej, # Fråga ..

# Fråga ..

Difference between bonded contact and standard contact, 1. What is the diff...

1. What is the difference between an explicit method over implicit in FEA? Which one will you use over the other? Name the kind of analysis. 2. What is the Newton Raphson method

Need for code of behaviour for laboratory staff, Need for Code of Behaviour...

Need for Code of Behaviour : A laboratory is a potentially dangerous working environment. Cuts from broken glass, chemical or thermal burns and poisoning are three examples of lab

Explain the structure and functions of liver, Explain the Structure and Fun...

Explain the Structure and Functions of Liver The liver is enclosed in a thin capsule and is completely covered by a peritoneum. The liver is described as having four lobes. As

Define protein hormone and steroid hormone, Define Protein Hormone and Ster...

Define Protein Hormone and Steroid Hormone Further, hormones are of two different chemical types - protein hormone and steroid hormone. Most of the hormones belong to the categ

Explain the detailed process of oil extraction, Oil extraction : Extraction...

Oil extraction : Extraction of oil from the prepared oilseeds can be done by one of the following methods: (i) traditional method: ghani, (ii) Improved methods:

Emergence of botany, Botany: In the Bronze and the Iron Ages, agricultu...

Botany: In the Bronze and the Iron Ages, agriculture became the principal mode of production of man in all lands. It is, thus, not surprising that in India, botany and elementa

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