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nnmnkwii/nnmnkwii/paramgen/_mlpg.py #113

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XiaoshanHsj opened this issue May 26, 2021 · 2 comments
Open

nnmnkwii/nnmnkwii/paramgen/_mlpg.py #113

XiaoshanHsj opened this issue May 26, 2021 · 2 comments

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@XiaoshanHsj
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line 121 b = P\mu

I think it should be "b = \sum_{l} W_{l}^{T}P_{l}\mu“

bs = precisions * means => P_{l}\mu
bm.dot_mv_plus_equals(win_mat.T, b_frames[:, win_index], target=b) => W_{l}^{T}

@r9y9
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r9y9 commented Aug 11, 2021

Hi, sorry for the super delay. If possible, could you describe in more details why the changes are needed?

@XiaoshanHsj
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firstly, bs = precisions * means, so bs = U^{-1} · M^{T}, where U -> variance matrix, M -> mean matrix (\mu);
then "b, P = build_poe(bs, precisions, win_mats)"
in function of build_poe(), we can see that "bm.dot_mv_plus_equals(win_mat.T, b_frames[:, win_index], target=b)"
so b = W^{T} · bs = W^{T} · U^{-1} · M^{T} = W^{T} · P · M^{T}

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