Out of three genetic operators viz. selection, cross-over and mutation, list and justify which operator or combination there of will be required for the following:
i) To fill the population with copies of the best individual from the population.
ii) For the convergence of an algorithm to good but sub-optimal solution.
Among the three genetic operators—selection, crossover, and mutation—each plays a distinct role in guiding the evolution of a population toward optimal or near-optimal solutions. For filling the population with copies of the best _________ ________ _____ ____ ______ ____ _______ ______ _____ __________ ________ _________.
_________ ______ ______ ________ __________ _______ ___ ________ _____.
_________ ______ ________ ____ _______ _____ ___ _____.
________ _________ __________ __________ ________ ________ ________ __________ ____ ______ _______ ___.
________ ______ _____ ____ _________ __________ ____ _________.
________ ______ _____ _____ _____ ________ ____ __________.
______ __________ _____ _______ ___ __________ ____ _______ _____ ____ ________.
_______ ___ __________ _____ ________ __________ ________ _______ ___ _______ __________.
________ ___ _________ ____ __________ ________ ___ _______ ________ ______ ______.
_____ _____ ______ ___ ________ _______ _________ ______ _________ ___ ________ ________.
__________ ________ ________ ______ _____ __________.
_________ ____ ___ __________ _________ __________ _________ ___ _______ _________.
_____ _________ _________ __________ _________ _____ ____ ________ _____ ____ ___.
_____ ________ __________ _____ ________ _________.
_____ _________ ____ _______ ____ ________ ___ ______ _____.
_____ ____ ____ _________ ________ ___ _______ ___ __________ _______ _______ _________.
_________ ______ _____ _________ ___.
_____ ________ _________ _____ ___ ______ _______ ___.
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Consider the following table for the connections between input neurons and the hidden layer neurons:
| Input Neurons | Hidden Layer Neurons | Connection Weight |
| 1 | 1 | - 1 |
| 1 | 2 | - 0.1 |
| 1 | 3 | 1 |
| 2 | 1 | - 1 |
| 2 | 2 | 1 |
| 2 | 3 | 1 |
| 3 | 1 | - 0.2 |
| 3 | 2 | - 0.3 |
| 3 | 3 | - 0.6 |
(क) वक्रों और
से परिबद्ध और
के घनत्व वाले एक पतली शीट का गुरुत्व केन्द्र ज्ञात कीजिए।
(ख) और
से परिबद्ध ठोस घनाकृति का द्रव्यमान ज्ञात कीजिए, जबकि घनत्व फलन,
हो।
State whether the following statements are True or False. Give short proof or a counter example in support of your answer.
a) In the Hopfield network, the neurons belonging to the same layer receive input from the neurons of the previous layer and send their value only to the neurons of the next layer.
b) The length of chromosomes to determine the maximum value of the set:
is 12.
c) The fuzzy relation (R) given below, is an equivalence relation.
d) The Self Organizing Map (SOM) is a supervised learning technique.
e) In a single layer neural network, if , then the output is -1.
Generate the population in the next iteration by using Roulette-Wheel criterion:
|
|
|
| 1 | 3.5 |
| 2 | 4.6 |
| 3 | 5 |
| 4 | 2.8 |
| 5 | 1.8 |
Using diagram, show the difference between feed-forward neural network and recurrent neural network.
(क) निम्नलिखित सीमा ज्ञात कीजिए :
(i)
(ii)
(ख) बिन्दु (1,2) पर फलन का तृतीय टेलर बहुपद ज्ञात कीजिए।
(ग) केवल परिभाषाओं को लागू करके fxy(0,0) और fyx(0,0) ज्ञात कीजिए, जबकि फलन
के लिए इनका अस्तित्व होता हो।
(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।