Question: Using UCB for demand learning, select arm with index J with hat on top equals a r g m a x subscript j tau subscript

Using UCB for demand learning, select arm with index J with hat on top equals a r g m a x subscript j tau subscript j over n subscript j plus fraction numerator 1 over denominator square root of n subscript j end root end fraction , what role does fraction numerator 1 over denominator square root of n subscript j end root end fraction play here and why?

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