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Table 1 Mathematical notations

From: Temporal topic model for clinical pathway mining from electronic medical records

Symbol

Description

\(\mathcal {A}\)

The set of all treatment activities;

a

The treatment activity;

\(\mathcal {D}\)

The set of all treatment days;

d

The treatment day;

K

The number of treatment topics;

\(N_{d}\)

The number of all treatment activities in a treatment day;

\(\theta\)

The probability distribution of topic in treatment day;

\(\varphi\)

The probability distribution of timestamp in treatment topic;

\(\phi\)

The probability distribution of activity in treatment topic;

\(\alpha , \delta , \beta\)

The hyper-parameters;

z

The treatment topic;

t

The treatment timestamp of treatment day;

T

The universe of treatment days;

\(\mathcal {L}\)

The whole treatment processes;

\(Z_{N}\)

The normalization factor;

N

The top activity number in the ranking results;

\(n_{d,k}\)

The number of times that the day d is assigned to topic k;

\(q_{k,t}\)

The number of times that the timestamp t is assigned to topic k;

\(m_{k,t,a}\)

The number of times that the activity a is assigned to topic k with timestamp t;

\(\sigma\)

A treatment process for a specific patient;

\(\mathcal {T}\)

The set of treatment timestamp;

C

The triples form of discovered CP;