specify K_{gcm} is K_{gc}(m)
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@ -264,11 +264,34 @@ If we take the log of
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we get
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we get
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\begin_inset Formula
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\begin_inset Formula
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\begin{equation}
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\begin{equation}
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\log P(x|y,m)=\log P_{m}(x|y)=K_{gcm}-E_{gcm}(x,y).\label{eq:gm_log}
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\log P(x|y,m)=\log P_{m}(x|y)=K_{gc}(m)-E_{gcm}(x,y).\label{eq:gm_log}
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\end{equation}
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\end{equation}
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\end_inset
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\end_inset
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\end_layout
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\begin_layout Standard
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\noindent
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For conciseness, we will write
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\begin_inset Formula $K_{gc}(m)$
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\end_inset
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as
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\begin_inset Formula $K_{gcm}$
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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\SpecialChar allowbreak
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\end_layout
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\begin_layout Standard
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\noindent
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The key point here is that
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The key point here is that
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\family roman
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\family roman
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\series medium
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\series medium
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@ -307,7 +330,7 @@ GaussianMixture
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\begin_inset Formula $m$
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\begin_inset Formula $m$
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\end_inset
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\end_inset
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, and is not dependent on the value of
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, and cannot be dependent on the value of
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\begin_inset Formula $m$
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\begin_inset Formula $m$
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\end_inset
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\end_inset
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