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These partial derivatives in respect to variables of previous layers are calculated according to the composite function derivation rules (9) (10) and formed by products of partial derivatives of outer and inner functions [10].
Derivation rules should be biconditionals.
In uwDR, derivation rules without normalized entropy weighting are used.
The parse results contain derivation rules (DR), which are extracted in the DR Generation block.
The clustering happens in a space defined by derivation rules (DR).
means that R1 and R3 are used in T s, and that there are l = 4 derivation rules.
Similar(34)
We call Γ the derivation rule-dialogue act (DRDA) matrix.
In our implementation, a derivation rule (DR) is defined to be a derivation of the form A → B → w, (8).
Classification of DA for unseen utterances is based on a novel derivation rule-dialogue act (DRDA) matrix, which is created by counting the occurrences of each DR in each utterance cluster.
By consideration of Taylor's formula, this LSF can be transformed into an equation involving a single unknown described as the reliability index, and then the resulting solution procedure for determination of the reliability index can be rendered based on the derivation rule of compound function.
The proposed method incorporates several steps, including partial sentence tree construction, derivation rule extraction, utterance representation in a vector space, the dialogue act set generation via spectral clustering, dialogue act representation using relative frequency weighted by normalized entropy, and finally a cosine distance measure between dialogue act and utterance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com