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Listed below are some of the parameters



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Listed below are some of the parameters:

  • N is the number of classes (in our scenario, N=2: subjective and objective classes);

  • M is the number of unique words (terms) in the corpus; R is the number of observed sequences in

the training process.

  • R is the number of sequences seen during the training procedure;

  • 𝑂𝑟 = {𝑜𝑟, 𝑜𝑟, . . . 𝑜𝑟}are sentences from the training dataset, where Tr is the length of the r-th

1 2 𝑇
sentence, 𝑟 = 1,2, … , 𝑅;

  • 𝜇𝑖,𝑗 explains the relationship between the i-th term and the j-th class ( 𝑖 = 1, … , 𝑀; 𝑗 = 1,2, … , 𝑁

  • 𝑐𝑖,𝑗 is the frequency with which the 𝑖-th phrase appeared in class 𝑗;

  • 𝑡𝑖 = 𝑗 𝑐𝑖,𝑗 represents the number of occurrences of the 𝑖-th phrase in the corpus;

  • The incidence of the I -th phrase in the j -th class.

𝑐𝑖,𝑗

𝑐̅̅𝑖̅,̅𝑦 =
;
𝑡𝑖

We provide a novel weighting parameter that influences system accuracy by taking the number of classes instead of the number of documents in the well-known IDF (Inverse-Document Frequency) calculation. We call it Pruned ICF, which is similar to IDF (Inverse-Class Frequency)

𝐼𝐶𝐹𝑖
= log
𝑁

,
2 𝑑𝑁𝑖

When 𝑖 is a term, 𝑑𝑁 is the number of classes that include the term 𝑖 and 𝑐𝑖,𝑗 > 𝑞, and where q is a constant

𝑞 =
1



𝛿 ∙ 𝑁

The optimal value of 𝛿 for the corpus examined is 𝛿 =1.4, which is determined experimentally.
The membership degree (𝜇𝑖,𝑗) of words for relevant classes may be determined by experts or com- puted using analytic formulae. To avoid needing human annotation or lexical expertise, we determined the membership degree of each phrase using the following analytical formula: 𝑖 = 1, … , 𝑀; 𝑗 = 1,2, … , 𝑁:

𝑇𝐹: 𝜇
= 𝑐𝑖̅ ,𝑗
(1)



𝑖,𝑗
𝑁
𝑣=1
𝑐𝑖̅ ,𝑣

𝑇𝐹 ∙ 𝐼𝐶𝐹: ∶ 𝜇
= 𝑐𝑖̅ ,𝑗∙𝐼𝐶𝐹𝑗
(2)



𝑖,𝑗
𝑁
𝑣=1
𝑐𝑖̅ ,𝑣∙𝐼𝐶𝐹𝑣


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