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Our purpose of applying this technique was to group the output instances that were similar in nature into clusters.
The system allows to configure the resulting number of different output instances designed for different applications during the processing in a generic manner.
Similar(58)
Note that for input channels corresponding to the same output instance, this reference noise PSD has to be identical.
If no single one or more than one speakers are active per output instance, the previous decision is kept: w q, m = SAD ̂ m , if STM ̂ q = 1, w q, m ( ℓ - 1 ), else.
If a different relevant speaker within the subset of microphone signals to be combined to one output instance becomes active, the dominances of all the other related channels decrease.
In general, bold uppercase letters with time frame and/or frequency indices indicate vectors containing M single components for each microphone channel m, or Q components for each output instance q, respectively.
The two front passengers' signals (speakers 1 and 2) are mixed to one output instance, and the backseat passengers' signals (speakers 3 and 4) to a second one determined by the control matrices defined in (3) and (4).
Regarding the phase in (34), always the phase value of the last active channel in the present output instance indicated by v q is used: ϕ q mix ( ℓ, k ) = ϕ v q ( ℓ, k ).
Therefore, Pr (A t |G,u,τ) of the output instance of Algorithm 4 must be in set ({k cdot 0.5^{|hat E|}mid kin mathbb N, k le 2^{|{hat E}|}}).
Therefore, due to (3), the output instance has text{Pr},(A_{tau}|{G,i,tau} = Pr,(i leadsto V subseteq G^{prime}), which means considering reachability rather than distance is sufficient in the remaining part of the proof.
Given input parameter p and instance (hat G(hat V,hat E)), (s,tin hat V), the output instance G V,E), w, A τ, τ of Algorithm 4 has the following properties: 1. Pr (A t |G,v,τ =Pr (A t |G,t,τ =p; 2.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com