Single neurons and multilayer networks, Science

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'.

Posted Date: 3/13/2013 6:44:30 AM | Location : United States







Related Discussions:- Single neurons and multilayer networks, Assignment Help, Ask Question on Single neurons and multilayer networks, Get Answer, Expert's Help, Single neurons and multilayer networks Discussions

Write discussion on Single neurons and multilayer networks
Your posts are moderated
Related Questions
This paper employs the writings of Heidegger, not only to provide a research methodology, but also a philosophical framework that guides a way of understanding being with gastroint

whats the whole profile for the protozoa fossil

Question 1 What are the sources of water pollution? List some measures that can help overcome the problem of water pollution Question 2 Environmental accidents can b

Define the Applications of Thermodynamics Thermodynamics has extremely wide applications because basis of thermal engineering. Approximately all process and agriculture, transp

ray optics

Explain about the Alluvial soils Alluvial soils are characterised by their extreme depth, often several hundred feet, and a grey or greyish brown colour. Their texture varies

Explain the Respiratory Centre The respiratory centre consists of two main parts - inspiratory centre and the expiratory centre. The inspiratory centre is dominant. A reciproca

Labels and Packaging's : In order to minimise the hazards associated with using a particular substance it is necessary to know what the precise dangers are. The label on the conta

Healing Touch of Lasers: Contrast the above application  of lasers with their uses in medicine where the laser is working wonders. A laser can be applied with almost perfect