Result extends to functions - perceptrons, Computer Engineering

Result extends to functions - perceptrons:

Thus the dotted lines can be seen as the threshold in perceptrons: whether the weighted sum, S, falls below it, after then the perceptron outputs one value, if S falls above it and the alternative output is produced. In fact there it doesn't matter how the weights are organized, thethreshold will still be a line on the graph. But still therefore, functions that are not linearly separable cannot be represented by perceptrons. 

So Notice that this result extends to functions over any number of variables that can take in any input that produce a  Boolean  output as and hence could, in principle be learned by a perceptron. Just for instance, in the following two graphs, the function takes in two inputs as Boolean  functions so the input can be over a range of values. Now we considered concept on the left can be learned by a perceptron, wherever the concept on the right cannot as: 

2423_Result extends to functions - perceptrons.png

Here as an exercise in the left hand plot there draw in the separating like threshold line. 

Regrettably here the disclosure in Minsky and Papert's book in which perceptrons cannot learn even like a simple function that was taken the wrong way as: people believed it represented a fundamental flaw in the utilising of ANNs to perform learning tasks. However this led to a winter of ANN research within "AI" that lasted over a decade. In fact in reality perceptrons were being studied in order to gain insights into more complicated architectures with hidden layers that do not have the limitations that perceptrons have. So here no one ever suggested that perceptrons would be eventually required to solve real world learning problems. But fortunately, people studying ANNs within other sciences as notably neuro-science which revived interest in the study of ANNs.

Posted Date: 1/11/2013 7:08:56 AM | Location : United States







Related Discussions:- Result extends to functions - perceptrons, Assignment Help, Ask Question on Result extends to functions - perceptrons, Get Answer, Expert's Help, Result extends to functions - perceptrons Discussions

Write discussion on Result extends to functions - perceptrons
Your posts are moderated
Related Questions
What are the advantages of using XML over HTML?  The root cause of the problem lies in HTML (Hyper Text Mark-up Language), the defacto standard for web publication. The main pr

Q. What is Metropolitan Area Network? Metropolitan Area Network (MAN):  It is privately or public owned communication system that naturally covers a complete city. Speed is abo

advantages and disadvantages of northwest corner method and least cost method

Replacement and substitution: However, equivalences allow us to change one sentence with another without affecting the meaning, it means we know already that replacing one sid

Explain all the categories that are served by Common Control switching. Common Control Switching System: It is a functional block diagram of a common control switching system i

INTRODUCTION : Like any other office we need equipment to provide for information distribution in the laboratory office also. For information distribution we require multiple copi

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

How do you ensure that our records are scanned accurately? Not only do we have a highly trained and capable staff, we also have quality controls in place to make sure your reco

Q. VLSI Implementation of Control Unit? A main potential advantage of RISC is VLSI implementation of microprocessor. VLSI Technology has decreased the delays of transfer of inf

What is application analysis? The purpose of analysis is to understand the problem so that a correct design can be constructed. The application analysis focuses on major applic