Question

Consider the set of pattern vectors P. Obtain the connectivity matrix (CM) for the patterns in P (four patterns). 

P=\begin{bmatrix} 1 &1 &1 &0 &0 &0 &0 &0 &0 &0 \\0 &0 &0 &0 &0 &0 &0 &1 &1 &1 \\1 &1 &1 &0 &0 &0 &0 &0 &0 &1 \\1 &0 &1 &0 &1 &0 &1 &0 &1 &0 \end{bmatrix}

10 Mar 2024
Answer :
Word Count : 677
To solve this, we will follow these steps: ### Step 1: Define the Pattern Matrix \( P \) Given the set of four pattern vectors, we can define the matrix \( P \) as follows: \[ P = \begin{bmatrix} 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\ 1 & 0 & 1 & 0 & 1 & 0 & 1 ___ ___ _______ ____ __________ _______ ________ _________ ___ ______ ________.
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Related Questions

a) Two sensors based upon their detection levels and gain settings are compared. The following of gain setting and sensor detection levels with a standard item being monitored provides typical membership values to represent the detection levels for each of the sensors.

Gain Setting 

Sensor

detection levels 

Sensor 2

detection levels
0 0 0
20 0.5 0.35
40 0.65 0.5
60 0.85 0.75
80 1 0.90
100 1 1

The universe of discourse is  x= [0,20,40,60,80,100]. Find the membership function for the two sensors. Also, verify De-morgon’s laws for these membership functions.

Let A and B are two fuzzy sets and  x\epsilon U,if\mu _{A}(x)=0.4 and \mu _{B}(x)=0.8 then find out the following membership values: 

i) \mu _{A\cup B}(X),                             ii) \mu _{A\cap B}(X),        iii)  \mu _{\bar{A}\cup \bar{B}}(x),

iv)  \mu _{\bar{A}\\\cap \bar{B}}(x),                            v)  \mu __{\bar{A}\bar\cup \bar{B}}(X),       vi)   \mu __{\bar{A}\bar\cap \bar{B}}(X),

b) Describe the Function Approximation in MLP. Also, explain Generalization of MLP.

b) Consider a subset of natural numbers from 1 to 30, as the universe of discourse, U. Define the fuzzy sets “small” and “medium” by enumeration.

b) Consider the following single layer perception as shown in the following figure. 

                                      Image ignouassignments-ignouacademy-com--p-consider-53801

and the activation function of each unit is defined as \Phi (v)=\left \{ _{0, otherwise.}^{1, if v \geq 0} \right \}

Calculate the output y of the unit for each of the following input patterns: 

Patterns P_{1} P_{2} P_{3} P_{4}
X_{1} 1 0 1 1
X_{2} 0 1 0 1
X_{3} 0 1 1 1

Also, find the modified weights after one iteration. 

Consider the set of pattern vectors P. Obtain the connectivity matrix (CM) for the patterns in P (four patterns). 

P=\begin{bmatrix} 1 &1 &1 &0 &0 &0 &0 &0 &0 &0 \\0 &0 &0 &0 &0 &0 &0 &1 &1 &1 \\1 &1 &1 &0 &0 &0 &0 &0 &0 &1 \\1 &0 &1 &0 &1 &0 &1 &0 &1 &0 \end{bmatrix}

a) Define Error Correction Learning with examples.

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