Revision as of 02:56, 3 June 2024 edit BrunoMichelJedynak (talk \| contribs) 2 edits m Added the condition that P(X=s)>0 for the conditional operator to be well defined. Also I corrected a typo, replacing Q by P ← Previous edit		Revision as of 03:05, 3 June 2024 edit undo BrunoMichelJedynak (talk \| contribs) 2 edits m Replace Q by P (a typo). Next edit →
Line 351: The [[#Rules of probability as operations in the RKHS\|kernel chain rule]] in this case is given by :<math>\underbrace{\begin{pmatrix} \\ QP(X=s,Y=t) \\ \\ \end{pmatrix} }_{\mathcal{C}_{XY}^\pi} = \underbrace{\begin{pmatrix} \\ P(X=s \mid Y=t) \\ \\ \end{pmatrix} }_{\mathcal{C}_{X \mid Y}} \underbrace{ \begin{pmatrix} \pi(Y=1) & \dots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \dots & \pi(Y=K) \\ \end{pmatrix} }_{\mathcal{C}_{YY}^\pi} </math>

Kernel embedding of distributions: Difference between revisions