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Table 1 Settings for LCM in each step

From: Latent class model with application to speaker diarization

Step

Prior setting

Factorized objective function

To be updated

1

\( p(\mathcal {X}_{m}, \mathcal {Y}_{s})\)

\({\sum \nolimits }_{m=1}^{M} \log {\sum \nolimits }_{s=1}^{S} p(\mathcal {X}_{m}, \mathcal {Y}_{s}) q_{{ms}} \)

q ms

2

\(\mathcal {X}_{m}, q_{{ms}}\)

\({\sum \nolimits }_{m=1}^{M} \log {\sum \nolimits }_{s=1}^{S} q_{{ms}} p(\mathcal {X}_{m}| \mathcal {Y}_{s}, i_{{ms}}) p(\mathcal {Y}_{s}) \)

\(\mathcal {Y}_{s}\)

3

\(\mathcal {X}_{m},q_{{ms}},\mathcal {Y}_{s}\)

\({\sum \nolimits }_{m=1}^{M} \log {\sum \nolimits }_{s=1}^{S} q_{{ms}} p(\mathcal {Y}_{s}|\mathcal {X}_{m}, i_{{ms}}) p(\mathcal {X}_{m}) \)

\( p(\mathcal {X}_{m}, \mathcal {Y}_{s}|i_{{ms}})\)