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

Beta catenin for nuclear import, 1.  Beta catenin is a protein that translo...

1.  Beta catenin is a protein that translocates to the nucleus in the presence of Wnt ligand. In the absence of Wnt, beta catenin is targeted for degradation. Using a cell line fro

Anatomy and physiology, a patient diagnosed with HIV. Predict how HIV will ...

a patient diagnosed with HIV. Predict how HIV will impact his total leukocyte count

Poisons-storage of chemicals, Poisons : It is essential that all dangerous...

Poisons : It is essential that all dangerous substances, such as cyanides, are always kept under strict control. Steps to ensure such control are as follows: i) All substances

Is it ethical to use placebo in clinical trial, Question 1 Is it ethical t...

Question 1 Is it ethical to use Placebo in Clinical trial? What is your opinion and what do CIOMS and ICH guidelines say in this regard? Question 2 What is the role of ethics

Student, how increases in atmospheric concentrations of carbon dioxide and ...

how increases in atmospheric concentrations of carbon dioxide and other greenhouse gases cause global warming.

What are the factors affecting soil formation, What are the Factors Affecti...

What are the Factors Affecting Soil Formation  Parent materials formed due to weathering of rocks are transported from the place of their origin and re-deposited before they ar

How to make a receiver for vacuum experiments, How to make a receiver for v...

How to make a receiver for vacuum experiments Secure a large jar with an air-tight screw cap, like as a fruit jar. Drill a hole by the top and have a short metal tube soldered

Define the measurement of extracellular fluid volume, Define the Measuremen...

Define the Measurement of Extracellular Fluid Volume  This method involves the use of dilution principle. A substance that can readily diffuse through the entire extracellular

Explain the small intestine, Explain the Small Intestine The small inte...

Explain the Small Intestine The small intestine is continuous with the stomach at the pyloric sphincter and leads into the large intestine at the ileocdic valve.  It is about 2

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