Consider the two parents which are participating in partially mapped cross over as shown below:
Parent 1: C D | E A B |I H G F
Parent 2: A B | C D E |F G H I
Using partially mapped crossover assuming 2nd and 6th as the cross over sites, find the children solution.
Consider the permutations of length nine: Parent 1: C D E A B I H G F Parent 2: A B C D E F G H I The crossover sites are the 2nd and 6th positions. Hence, the segments selected for partially mapped crossover are positions 2 through 6. From Parent 1, the selected segment is D E A B I. From Parent 2, the selected segment is B C D E F. For the first child, the segment D E A B I from ___ ___ ___ _________ ________ ______ ___ ______ _______ ___ ___ __________.
______ _______ ______ _________ ___ ________ ________ __________.
________ ______ _______ ______ _____ ___ ________ __________ ________.
_______ ______ _______ ______ _______ ___ ___ _______ __________ ________ ________ __________.
_________ __________ ________ ________ ____ ______ _______ _________ ___ _______.
___ _________ _____ ____ _____ _________ _________ ____.
_____ _____ ______ ____ _______ __________ ______ ______ ___.
____ _________ _____ ___ ______ __________.
__________ ____ ______ _________ ____ _______ ______ _____ ____.
_____ __________ _________ _____ ___ ______ ________.
_____ __________ _______ ________ _________ __________ _________ _____ __________ ________ __________ ____.
____ ____ _____ _______ ___ ________ _______ ___.
______ ____ ____ ________ ____ _________ _____ ________ ________ ___ __________.
____ ________ _________ __________ _____ ____ _________ _________ _______.
_________ __________ ______ _______ _________ ______ ______ ____ ________ ______ __________.
________ _____ ______ ________ ____ _______ _____ _________ _________ _______ ____ ________.
____ ____ _____ ________ ________ _____ ___.
__________ _______ ____ ___ ____ ____ ___ ________ ______ ______ ____ ___.
_________ ____ __________ ___ __________ _______ ______ ________ __________.
_________ _____ _____ ________ ______ _____ _______ __________ _________ ______ ___ ______.
______ __________ _____ ____ __________ _______ _______.
____ ______ ___ _________ _________ __________ __________ _____ _________ _______ _______ _________.
_______ _______ __________ ______ _________ ___ _______ ____ __________ _________ ______ _______.
________ __________ _____ _______ ________ __________ __________.
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_________ ___.
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Verify whether the Genetic Algorithm (GA) improves the solution from one generation to the next generation, for the function given below:
Maximize:
Subject to:
Assume that chromosomes of length 6 are created at random and modified by Roulette-Wheel selection.
A single layer neural network is to have six inputs and three outputs. The outputs are continuous over the range 0 to 1. Now answer the following:
i) How many neurons are required?
ii) What are the dimensions of the weight matrix?
iii) What kind of transfer function could be used?
iv) Is a bias required? Give reasons.
Consider a dataset of five observations given in the following table, each of which has two features f1 and f2:
| x₁ | x₂ | x₃ | x₄ | x₅ | |
|---|---|---|---|---|---|
| f₁ | 2 | 3 | 4 | 3 | 5 |
| f₂ | 6 | 7 | 5 | 4 | 6 |
Assume the number of cluster and the real number
. Also, assume the initial cluster centers as
and
. Apply fuzzy c-mean algorithm to find the modified cluster center after one iteration.
(क) (0,0) पर निम्नलिखित फलन f के सांतत्य और अवकलनीयता की जाँच कीजिए, जहाँ
(ख) फलन से परिभाषित फलन f का प्रांत और परिसर ज्ञात कीजिए। इस फलन के दो स्तर वक्र भी ज्ञात कीजिए।
Implement AND function using McCulloch-Pitts neuron.
Determine the -cut of the fuzzy set (A) are given below, at 0.7 and 0.2.
Also, compare the -cut of the two outcomes, and give comments for status of
-value variation.
Approximate the function for
, by solving 1-2-1 network, using Back propagation algorithm. The weighted structure and initial input are as follows:
Weighted structures are: and bias
and bias
The initial input is 1.
Draw the architecture of the model. Perform one iteration.