Question
In the problems on this page, we will work through the definitions and minimization described above for a simple data configuration.
Given 3 data points \mathbf{x}^{(1)},\mathbf{x}^{(2)},\mathbf{x}^{(3)} that are equidistant (at distance A) from each other in p-dimensional space, compute the probability distribution \mathbf{P} (given by p_{12}, p_{23}, p_{13}), and enter the value of p_{12} and p_{13} below.
p_{12}=\quad
unanswered
p_{13}=\quad
Given 3 data points \mathbf{x}^{(1)},\mathbf{x}^{(2)},\mathbf{x}^{(3)} that are equidistant (at distance A) from each other in p-dimensional space, compute the probability distribution \mathbf{P} (given by p_{12}, p_{23}, p_{13}), and enter the value of p_{12} and p_{13} below.
p_{12}=\quad
unanswered
p_{13}=\quad
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