Example of perceptrons, Computer Engineering

Example of perceptrons:

Here as an example function in which the AND boolean function outputs a 1 only but if both inputs are 1 and where the OR function only outputs a 1 then if either inputs are 1. Here obviously these relate to the connectives we studied in first order logic. But in the following two perceptrons can represent the AND and OR boolean functions respectively: 

936_Example of perceptrons.png

However one of the major impacts of Minsky and Papert's book was to highlight the fact that perceptions cannot learn a particular boolean function that called XOR. In fact this function outputs a 1 if the two inputs are not the same. It means to see why XOR cannot be learned and try or write down a perception to do the job. So here the following diagram highlights the notion of linear reparability in Boolean functions that explains why they can't be learned by perceptions:

733_Example of perceptrons1.png

Practically in each case we've plotted the values taken use of  the  Boolean  function where the inputs are particular values as: (-1,-1);(1,-1);(-1,1) and (1,1). But just because the AND function there is only one place whereas a 1 is plotted, namely where both inputs are 1. Moreover we could draw the dotted line to separate the output -1s from the 1s. So than we were able to draw a similar line in the OR case. Its means there, that we can draw these lines, we say that these functions are linearly separable. Remember there that it is not possible to draw any line for the XOR plot: but where you try then you never get a clean split into 1s and -1s.

Posted Date: 1/11/2013 7:07:05 AM | Location : United States







Related Discussions:- Example of perceptrons, Assignment Help, Ask Question on Example of perceptrons, Get Answer, Expert's Help, Example of perceptrons Discussions

Write discussion on Example of perceptrons
Your posts are moderated
Related Questions
Postpurchase Interaction Customer service and support: The considerations at this stage can be explained by the following example: Consider a bundle having of a portfolio

Q.What is Canonical and Standard Forms? An algebraic expression can express in two forms: i) Sum of Products   (SOP) for example (A . B¯) + (A¯ . B¯)            ii) Produ

Overlay Graph: It overlay the content of two graphs that shares an ordinary x-axis. Left Y-axis on the merged graph show's the present graph's value & Right Y-axis illustrate the v

What are the features of the hardwired control? A controller that uses this approach can function at high speed. It has little flexibility and the complexity of the instruction

Multiplication Algorithms Multiplication of the two fixed-point binary numbers in signed magnitude representation is done with paper and pencil through a process of successive

Let us see the pairs that can be considered as adjacent in Karnaugh's here. The pairs are:  1)  The four corners  2)  The four 1's as in top and bottom in column 00 & 01

Q. Diffrence between RISC and CISC architecture? CISCs provide better support for high-level languages since they include high-level language constructs such as CASE, CALL etc

What is a Map? A Map is an Array, which having the addresses of the free space in the swap device that are allocatable resources, and the number of the resource units available

Ethernet 10 Base 2 is an example of               network topology. (A)  Bus                                           (B)  Ring (C)  Star

Assignment of Analog to digital Ssignal Processing