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.
a) False. A Hopfield network is a single-layer, fully connected recurrent network in which each neuron is connected to every other neuron (except itself). There are no distinct previous or ____ ________ ________ ___ _________ _________ __________ __________.
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____ ____ ________ _________ _________.
___ _________ _____ _______ _________ ___ ___ __________ __________ ______.
_______ __________ _________ __________ _________ _____ ____ ____ __________ ______ ___ ___.
__________ ________ _________ ______ _________ _____ _________ ________ ____ ________ ____.
____ ________ ______ _______ __________.
______ ____ ______ _____ ___ ___ ________ _______ __________ ______ __________ ________.
________ _______ ___ ________ ___ ________ _______ ___.
________ _______ ________ _____ ____ _______ ________.
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_____ ___ ____ _________ __________ ________ _____ ___ ________ __________ _____ ___.
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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 |
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 |
(क) ग्रीन प्रमेय का कथन दीजिए और इसकी सहायता से का मान निकालिए,
जहाँ C, दीर्घवृत्त है।
(ख) पृष्ठ पर फलन
के चरम मान ज्ञात कीजिए।
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.
Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
Find the length and order of the following schema:
i)
ii)
iii)
iv)
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.