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\begin{document}$$N = \left\{ {n_{1} , n_{2} , \ldots , n_{\left| N \right|} } \right\}$$\end{document}N=n1,n2,…,nN
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\begin{document}$$\left| N \right|$$\end{document}N is the size of the news dataset |
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\begin{document}$$y_{i} \in \left\{ {0,1} \right\}$$\end{document}yi∈0,1
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\begin{document}$$y_{i} = 1$$\end{document}yi=1 is fake news; \documentclass[12pt]{minimal}
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\begin{document}$$y_{i} = 0$$\end{document}yi=0 is real news |
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\begin{document}$$U = \left\{ {u_{1} , u_{2} , \ldots , u_{\left| U \right|} } \right\}$$\end{document}U=u1,u2,…,uU
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\begin{document}$$\left| U \right|$$\end{document}U is the number of users |
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\begin{document}$$\left( {u_{0} ,sc_{0} ,t_{0} } \right)$$\end{document}u0,sc0,t0
| A tuple, user u and social context sc during timestamp t |
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\begin{document}$$C\left( {n_{i} } \right)$$\end{document}Cni
| Content of news |
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\begin{document}$$ SC\left( {n_{i} } \right) = \left( {\left( {u_{0} ,sc_{0} ,t_{0} } \right), \ldots ,} \right)$$\end{document}SCni=u0,sc0,t0,…,
| Sequence of a user’ social contexts on a news item, |sc| is the size of SC |
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\begin{document}$$\hat{y}\left( {n_{i} } \right) \in \left\{ {0,1} \right\}$$\end{document}y^ni∈0,1
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\begin{document}$$n_{i}$$\end{document}ni |
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\begin{document}$$\hat{y}(n_{i} ) = M\left( {n_{i} ,SC\left( {n_{i} } \right)} \right)$$\end{document}y^(ni)=Mni,SCni
| Model M predicts a label for news item based on its news features and social contexts |
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\begin{document}$$X = \left\{ {x_{1} , x_{2} , \ldots , x_{k} } \right\}$$\end{document}X=x1,x2,…,xk
| Sequence of k input vector representations, k is the length |
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\begin{document}$$X^{\prime } = \left\{ {x_{1}^{\prime } ,x_{2}^{\prime } , \ldots ,x_{k}^{\prime } { }} \right\}$$\end{document}X′=x1′,x2′,…,xk′
| Sequence of embedding vectors from X |
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\begin{document}$$f: X_{1:k}^{\prime } \to Y_{1:l}$$\end{document}f:X1:k′→Y1:l
| Mapping f from input sequence of k vectors to a sequence of l target vectors |
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\begin{document}$$x^{\prime \prime }$$\end{document}x″, \documentclass[12pt]{minimal}
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\begin{document}$$X^{\prime \prime }$$\end{document}X″ | Output vector representation from input \documentclass[12pt]{minimal}
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\begin{document}$$x^{\prime } ,$$\end{document}x′, and sequence of output vectors of \documentclass[12pt]{minimal}
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\begin{document}$$x^{\prime }$$\end{document}x′ |
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\begin{document}$$\kappa_{i}$$\end{document}κi; \documentclass[12pt]{minimal}
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\begin{document}$$v_{i}$$\end{document}vi; \documentclass[12pt]{minimal}
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\begin{document}$${\mathbb{K}}$$\end{document}K | Key vector; value vector; query vector; set of key vectors |
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\begin{document}$$ W_{q}$$\end{document}Wq, SoftMax | Trainable weight vectors of \documentclass[12pt]{minimal}
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\begin{document}$$v$$\end{document}v; \documentclass[12pt]{minimal}
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\begin{document}$$q$$\end{document}q, activation function |
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\begin{document}$$\overline{X}_{1:k} ; Y_{1:l}$$\end{document}X¯1:k;Y1:l
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\begin{document}$$\mathcal{L}_{1:k} = \ell_{1} , \ldots ,\ell_{k}$$\end{document}L1:k=ℓ1,…,ℓk | Encoder function, decoder function; logit vector |
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\begin{document}$$y^{\prime \prime }$$\end{document}y″ |
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\begin{document}$$h_{{\left[ \mathcal{S} \right]}}$$\end{document}hS | Token in decoder; last state of the token; hien ste |
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\begin{document}$$p \in [0,1]^{2}$$\end{document}p∈[0,1]2
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\begin{document}$$b$$\end{document}b; h | Project matrix; bias term; cross-entropy function |
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\begin{document}$$X^{\prime \prime }$$\end{document}X″ |
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\begin{document}$$Y^{\prime \prime \prime }$$\end{document}Y″′, respectively |
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\begin{document}$$\hat{y}_{j}$$\end{document}y^j | Ground truth label; model prediction |