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2. [28 points] For the definition of SNN similarity provided by Algorithm 9.10, the calculation of SNN distance does not take into account the weights

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2. [28 points] For the definition of SNN similarity provided by Algorithm 9.10, the calculation of SNN distance does not take into account the weights of the edges connecting the two points to their shared neighbors. In other words, it might be more desirable to give higher similarity to two points that are connected to their shared neighbors by edges having higher weights, as compared to two points that are connected to their shared neighbors by edges having lower weights. (a) Describe how you might modify the definition of SNN similarity to give higher similarity to points whose shared neighbors are connected to them by edges having higher weights. (b) Discuss the advantages and disadvantages of such a modification

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