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Table 1 Table of notations

From: DeepMPM: a mortality risk prediction model using longitudinal EHR data

Notation

Meaning

D

Diagnoses codes set, \(D=\{d_{1}, d_{2}, \ldots , d_{k}\}\)

L

DRGs codes set, \(L=\{l_{1}, l_{2}, \ldots , l_{s}\}\)

\(X_t\)

Representation vector of diagnosis

\(P_t\)

Representation vector of treatment

\(x_t\)

Diagnoses codes of a record, \(x_t \in \{ 0,1\}^{|D|}\)

\(p_t\)

DRGs codes of a record, \(p_t \in \{ 0,1\}^{|L|}\)

\(W_{xemb}\)

Weight of embedding layer for diagnoses codes

\(W_{pemb}\)

Weight of embedding layer for DRGs codes

\(f_t\)

Forget gate of LSTM at time step t

\(W_f\)

Weight of the forget gate of LSTM

\(i_t\)

Input gate of LSTM at time step t

\(W_i\)

Weight of the input gate of LSTM

\(\tilde{C_t}\)

Candidate cell state of LSTM at time step t

\(C_t\)

Cell state of LSTM at time step t

\(o_t\)

Output gate of LSTM at time step t

\(W_o\)

Weight of the output gate of LSTM

\(h_t\)

Hidden state of LSTM at time step t

\(m_t\)

Type of hospitalization

\(q_t\)

Hospital stay vector

\(U_i\)

Weight of \(h_{t-1}\) in the input gate of Care-LSTM

\(U_f\)

Weight of \(h_{t-1}\) in the forget gate of Care-LSTM

\(P_f\)

Weight of \(P_{t-1}\)

\(Q_f\)

Weight of \(q_{\Delta _{t-1:t}}\)

\(q_{\Delta _{t-1:t}}\)

Hospital stay during \(\Delta _{t-1:t}\)

\(\Delta _{t-1:t}\)

Adjacent hospital stay intervals

\(U_o\)

Weight of \(h_{t-1}\) in the output gate of Care-LSTM

\(P_o\)

Weight of \(P_t\)

\(g_t\)

Output of the hidden layer of Care-LSTM at time step t

\(\alpha _t\)

Variable-level weight vector, \(\alpha _t \in [0,1]\)

\(W_\alpha ^T\)

Weight matrix in attention module

\(e_t\)

Output of the hidden layer of Care-LSTM at time step t

\(\beta _t\)

Visit-level weight vector, \(\beta _t\in [-1,1]\)

\(W_\beta\)

Weight matrix in attention module

\(r_t\)

Harmonic weight coefficient

\(w_t\)

Final weight vector of the two-level attention module

\({\bar{h}}\)

Patient health status vector