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Is it possible in stochastic network that average state of network doesn’t change with time?

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Is it possible in stochastic network that average state of network doesn’t change with time? (a) yes (b) no I had been asked this question in a national level competition. The doubt is from Stochastic Networks in division Feedback Neural Networks of Neural Networks Please answer the above question.

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The correct option is (a) yes Easiest explanation: Dynamic equilibrium is possible in stochastic network.

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