<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Predicting Circulatory System Deterioration in Intensive Care Unit Patients</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Stephanie L. Hyland</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Martin Faltys</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Matthias Huser</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Xinrui Lyu</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Cristobal Esteban</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tobias Merz</string-name>
          <email>tobias.merz@insel.ch</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Gunnar Ratsch</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Bern University Hospital</institution>
          ,
          <country country="CH">Switzerland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>ETH Zurich</institution>
          ,
          <country country="CH">Switzerland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The deterioration of organ function in ICU patients requires swift response to prevent further damage to vital systems. Focusing on the circulatory system, we build a model to predict if a patient's state will deteriorate in the near future. We identify circulatory system dysfunction using the combination of excess lactic acid in the blood and low mean arterial blood pressure or the presence of vasoactive drugs. Using an observational cohort of 45,000 patients from a Swiss ICU, we extract and process patient time series and identify periods of circulatory system dysfunction to develop an early warning system. We train a gradient boosting model to perform binary classi cation every ve minutes on whether the patient will deteriorate during an increasingly large window into the future, up to the duration of a shift (8 hours). The model achieves an AUROC between 0.952 and 0.919 across the prediction windows, and an AUPRC between 0.223 and 0.384 for events with positive prevalence between 0.014 and 0.042. We also show preliminary results from a recurrent neural network. These results show that contemporary machine learning approaches combined with careful preprocessing of raw data collected during routine care yield clinically useful predictions in near real time.</p>
      </abstract>
      <kwd-group>
        <kwd>intensive care circulatory system machine learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Despite the high level of monitoring in the ICU, it is often infeasible for doctors
to continually monitor the state of all patients. Unanticipated deteriorations can
be life-threatening and require swift response. Identifying imminent or likely
deterioration in a timely fashion is therefore an important question[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], and is the
objective of research into early warning systems. Such systems have historically
been based on a small number of physiological variables[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], allowing for easy
assessment at the bedside but potentially missing complex patterns preceding
deterioration[
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. As hospitals proceed to digitise data collection and
visualisation, there is an opportunity for predictive algorithms to operate in real-time on
this data, providing decision support to caregivers.
      </p>
      <p>In this work, we describe a data-driven predictive model for circulatory
system failure. We integrate continuous measurements from hundreds of
physiological variables and treatment parameters, drawn from a dataset of 44,655 patients
over 8 years comprising 553.18 years of patient data. Our system identi es
patterns indicative of pending haemodynamic instability, using many more variables
than a typical ICU physician could assess. Currently relying on an observational
dataset for internal validation, once nalised, this system will be deployed in a
Swiss ICU to clinically validate its use as a real-time monitoring system.
1.1</p>
      <p>
        Related Work
Risk strati cation on the basis of physiological parameters is a common practice
in the ICU, and scores such as SOFA[
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] explicitly quantify circulatory system
dysfunction. SOFA and other scores (e.g. APACHE[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]) primarily draw on data
from the rst 24 hours in the ICU with an emphasis on mortality prediction,
although repeated evaluation of SOFA has also been studied [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Mortality
prediction has attracted interest from the machine learning community, producing
benchmarking tasks[
        <xref ref-type="bibr" rid="ref18 ref9">18, 9</xref>
        ] and modelling approaches such as ensembles[
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], deep
learning[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], and topic modelling[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. In our case, the focus on real-time
deterioration prediction puts the work closer in spirit to that of earning warning
scores (e.g. MEWS[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]), which attempt to identify patients at risk of, for
example, unplanned admission to ICU. Machine learning has also been exploited
for the problem of ICU admission prediction, as in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], and other early warning
systems[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. In this work, deterioration refers to the decline in function of the
circulatory system in patients who are already in the ICU. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] predict
hyperlactatemia in ICU (MIMIC) patients, [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] predict hypotension using hidden Markov
models, while [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] predict the onset of vasopressor usage.
2
      </p>
    </sec>
    <sec id="sec-2">
      <title>Data preparation</title>
      <p>Preparing the data for use in a machine learning system was a critical component
of this work. Raw data was exported from the patient database management
system deployed at Bern University Hospital and then processed in several steps.
Routinely-collected data of this kind features many challenges for computational
analysis. Errors in data labelling (for example venous versus arterial blood gases),
missing and implausible values, ambiguous or contradictory records, as well as
artefacts introduced by routine care (for example blood pressure spikes due to
arterial line ushing) necessitate care during data processing. In this work we
attempted to remove the suspected erroneous data using variable-speci c
processing, resolving or deleting ambiguous records, and removing values based on
plausible physiological ranges.</p>
      <p>To deal with missing data, we compute the median sampling interval for
each variable from training data, and forward- ll up to this point. After this, we
decay to a rolling local median from the recent past (calculated over a similar
interval). This re ects the belief that frequently-measured variables vary rapidly
and should not be forward- lled for long, while decaying to the recent median
value implies that in the absence of data, we assume the patient has returned to
`baseline' (for them), where this can vary throughout their stay.</p>
      <p>Medications were converted from doses to ow rates, treating `instantaneous'
drugs (such as tables) as ows over an e ective active period, which we de ned
for each drug. In the database system used by the ICU at Bern University
Hospital, drugs often received multiple unique identi ers for di erent dosage options,
corresponding to di erent variables in the database. To address this and other
redundancies in the data (for example, three ways of measuring temperature)
we performed a manual dimensionality reduction step, merging variables that
we identi ed to be su ciently similar. In doing so, we reduced the total number
of variables from 728 to 209. This means the model is applicable in any system
measuring these variables, and is not speci c to the ICU in Bern.</p>
      <p>
        We use pandas[
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], numpy[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], and scikit-learn[
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] in Python for data
processing and model development.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Deterioration prediction</title>
      <p>
        We de ne deterioration as the appearance of a `worse' state during a window
up to t hours in the future. A patient can be in one of four states, where
0 is the best (stable), and states 1-3 describe increasing levels of circulatory
system dysfunction. This dysfunction is identi ed through impaired circulatory
function and elevated lactate values ( 2 mmol/L). Impaired circulatory function
requires either low ( 65 mmHg) mean arterial pressure (MAP) or the presence
of vasoactive drugs. To minimize spurious calls[
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], we require these conditions
to be true for at least 30 non-consecutive minutes of a 45-minute window.
      </p>
      <p>The three dysfunctional levels are de ned by the type and intensity of
vasoactive drugs:
level drugs requirement
1 Any dose of dobutamine, milrinone, levosimendan, or theophylline
2 &lt; 0:1 g/kg/minute of norepinephrine or epinephrine
3 0:1 g/kg/minute of norepinephrine or epinephrine, or any dose of vasopressin
The task is then binary classi cation on whether a patient in state s at time t
will be in a state s + s ( s &gt; 0) during a window starting ve minutes from t
and ending t + t hours later. We consider t in increments of one hour up to
eight hours, the duration of a shift. For t = 8, this means the model can ag
patients who may need additional attention during the next shift, but who may
not be imminently critical.</p>
      <p>
        As a model, we use an ensemble approach of boosted decision trees in the
LightGBM library[
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], with 200 trees and default hyperparameters otherwise.
As this model does not natively handle time-series data, we generate derived
features using ve-point summary statistics (reporting min, max, median,
interquartile range, and trend) over four temporal resolutions. The temporal
resolutions depend on the sampling interval of the variable, allowing us to capture
data from up to 72 hours in the past for slowly-varying parameters, and up to
12 hours in the past for higher-frequency variables. Other features include time
since admission, and fraction of time spent in circulatory failure so far. We also
include early results from an LSTM[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] with hidden size 268, provided with at
most four hours of (un-summarised) data.
      </p>
      <p>In our experimental setup, we use the most recent six months of data to
construct the test set, re ecting that such models are necessarily trained on
retrospective data, and will be applied on new patients with a slightly di erent
data distribution. We report AUROC as well as area under the precision-recall
curve as deteriorations are relatively rare (1.4% prevalence during a one-hour
window). The results for varying t are shown in Figure 3. We see that AUROC
remains high as t increases, indicating high accuracy for predictions over the
next shift. AUPRC is more challenging for this model and task, although
performance is well above baseline (dotted line) for all t (between 9.14x and 15.93x).
Given the preliminary nature of the LSTM results and the limited input data it
receives (at most four hours), its performance is promising.</p>
      <p>1.0
0.9
C0.8
O
R
U0.7
A
0.6
We have shown how careful handling of a large retrospective cohort of ICU
patients results in a predictive model of circulatory organ failure with high
(AUROC &gt; 0.9) performance on time-horizons up to 8 hours in the future. We are
currently developing models based on recurrent neural networks to better exploit
the temporal nature of this data, and studying the behaviour of our trained
classi er to identify ways to enhance positive predictive value. One direction is to
provide the recurrent neural networks with longer history of data, such as the
entire patient stays, so that the models can use as much information as available
to make more accurate predictions. Once satisfactory in silico, this model will
be deployed in the ICU for external validation. This work demonstrates the
potential for large-scale multivariate modelling to identify patterns in physiological
signals, enabling early warning of circulatory system deterioration.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          1.
          <string-name>
            <surname>Alaa</surname>
            ,
            <given-names>A.M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Yoon</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hu</surname>
          </string-name>
          , S., van der Schaar, M.:
          <article-title>Personalized risk scoring for critical care patients using mixtures of gaussian process experts</article-title>
          .
          <source>CoRR abs/1605</source>
          .00959 (
          <year>2016</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          2.
          <string-name>
            <surname>Bates</surname>
            ,
            <given-names>D.W.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Zimlichman</surname>
          </string-name>
          , E.:
          <article-title>Finding patients before they crash: the next major opportunity to improve patient safety</article-title>
          .
          <source>BMJ quality &amp; safety 24 1</source>
          ,
          <issue>1</issue>
          {
          <issue>3</issue>
          (
          <year>2015</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          3.
          <string-name>
            <surname>Che</surname>
            ,
            <given-names>Z.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Purushotham</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Khemani</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          , Liu,
          <string-name>
            <surname>Y.</surname>
          </string-name>
          :
          <article-title>Interpretable deep models for icu outcome prediction</article-title>
          .
          <source>In: AMIA Annual Symposium Proceedings</source>
          . vol.
          <year>2016</year>
          , p.
          <fpage>371</fpage>
          . American Medical Informatics Association (
          <year>2016</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          4.
          <string-name>
            <surname>Clifton</surname>
            ,
            <given-names>L.A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Clifton</surname>
            ,
            <given-names>D.A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Pimentel</surname>
            ,
            <given-names>M.A.F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Watkinson</surname>
            ,
            <given-names>P.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tarassenko</surname>
            ,
            <given-names>L.</given-names>
          </string-name>
          :
          <article-title>Gaussian process regression in vital-sign early warning systems</article-title>
          .
          <source>2012 Annual International Conference of the IEEE Engineering in Medicine and Biology</source>
          Society pp.
          <volume>6161</volume>
          {
          <issue>6164</issue>
          (
          <year>2012</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          5.
          <string-name>
            <surname>Dunitz</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Verghese</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Heldt</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          :
          <article-title>Predicting hyperlactatemia in the mimic ii database</article-title>
          .
          <source>In: Engineering in Medicine and Biology Society (EMBC)</source>
          ,
          <year>2015</year>
          37th Annual International Conference of the IEEE. pp.
          <volume>985</volume>
          {
          <fpage>988</fpage>
          .
          <string-name>
            <surname>IEEE</surname>
          </string-name>
          (
          <year>2015</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          6.
          <string-name>
            <surname>Ferreira</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bota</surname>
            ,
            <given-names>D.P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bross</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Melot</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Vincent</surname>
          </string-name>
          , J.:
          <article-title>Serial evaluation of the sofa score to predict outcome in critically ill patients</article-title>
          .
          <source>JAMA 286 14</source>
          ,
          <issue>1754</issue>
          {8 (
          <year>2001</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          7.
          <string-name>
            <surname>Ghassemi</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Naumann</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Doshi-Velez</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Brimmer</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Joshi</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Rumshisky</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Szolovits</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          :
          <article-title>Unfolding physiological state: Mortality modelling in intensive care units</article-title>
          .
          <source>In: Proceedings of the 20th ACM SIGKDD international conference on Knowledge discovery and data mining</source>
          . pp.
          <volume>75</volume>
          {
          <fpage>84</fpage>
          .
          <string-name>
            <surname>ACM</surname>
          </string-name>
          (
          <year>2014</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          8.
          <string-name>
            <surname>Ghassemi</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wu</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hughes</surname>
            ,
            <given-names>M.C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Szolovits</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Doshi-Velez</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          :
          <article-title>Predicting intervention onset in the icu with switching state space models</article-title>
          .
          <source>In: CRI</source>
          (
          <year>2017</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          9.
          <string-name>
            <surname>Harutyunyan</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Khachatrian</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Kale</surname>
            ,
            <given-names>D.C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Galstyan</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          :
          <article-title>Multitask learning and benchmarking with clinical time series data</article-title>
          .
          <source>arXiv preprint arXiv:1703.07771</source>
          (
          <year>2017</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          10.
          <string-name>
            <surname>Hochreiter</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Schmidhuber</surname>
            ,
            <given-names>J.:</given-names>
          </string-name>
          <article-title>Long short-term memory</article-title>
          .
          <source>Neural computation 9(8)</source>
          ,
          <volume>1735</volume>
          {
          <fpage>1780</fpage>
          (
          <year>1997</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          11.
          <string-name>
            <surname>Ke</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Meng</surname>
            ,
            <given-names>Q.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Finley</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chen</surname>
            ,
            <given-names>W.</given-names>
          </string-name>
          , Ma,
          <string-name>
            <given-names>W.</given-names>
            ,
            <surname>Ye</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Q.</given-names>
            ,
            <surname>Liu</surname>
          </string-name>
          , T.Y.:
          <article-title>Lightgbm: A highly e cient gradient boosting decision tree</article-title>
          .
          <source>In: Advances in Neural Information Processing Systems</source>
          . pp.
          <volume>3149</volume>
          {
          <issue>3157</issue>
          (
          <year>2017</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          12.
          <string-name>
            <surname>Knaus</surname>
            ,
            <given-names>W.A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Draper</surname>
            ,
            <given-names>E.A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wagner</surname>
            ,
            <given-names>D.P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Zimmerman</surname>
            ,
            <given-names>J.E.</given-names>
          </string-name>
          :
          <article-title>Apache ii: a severity of disease classi cation system</article-title>
          .
          <source>Critical care medicine 13(10)</source>
          ,
          <volume>818</volume>
          {
          <fpage>829</fpage>
          (
          <year>1985</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          13.
          <string-name>
            <surname>McKinney</surname>
            ,
            <given-names>W.</given-names>
          </string-name>
          , et al.:
          <article-title>Data structures for statistical computing in python</article-title>
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          14.
          <string-name>
            <surname>Moss</surname>
            ,
            <given-names>T.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Lake</surname>
            ,
            <given-names>D.E.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Calland</surname>
            ,
            <given-names>J.F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>En</surname>
            <given-names>eld</given-names>
          </string-name>
          , K.B.,
          <string-name>
            <surname>Delos</surname>
            ,
            <given-names>J.B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Fairchild</surname>
            ,
            <given-names>K.D.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Moorman</surname>
            ,
            <given-names>J.R.</given-names>
          </string-name>
          :
          <article-title>Signatures of subacute potentially catastrophic illness in the icu: Model development and validation</article-title>
          .
          <source>Critical care medicine 44(9)</source>
          ,
          <volume>1639</volume>
          {
          <fpage>1648</fpage>
          (
          <year>2016</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          15.
          <string-name>
            <surname>Oliphant</surname>
          </string-name>
          , T.E.:
          <article-title>A guide to NumPy</article-title>
          , vol.
          <volume>1</volume>
          (
          <year>2006</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          16.
          <string-name>
            <surname>Pedregosa</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Varoquaux</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gramfort</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Michel</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Thirion</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Grisel</surname>
            ,
            <given-names>O.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Blondel</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Prettenhofer</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Weiss</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Dubourg</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          , et al.:
          <article-title>Scikit-learn: Machine learning in python</article-title>
          .
          <source>Journal of machine learning research 12(Oct)</source>
          ,
          <volume>2825</volume>
          {
          <fpage>2830</fpage>
          (
          <year>2011</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          17.
          <string-name>
            <surname>Pirracchio</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Petersen</surname>
            ,
            <given-names>M.L.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Carone</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Rigon</surname>
            ,
            <given-names>M.R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chevret</surname>
          </string-name>
          , S., van der Laan, M.J.:
          <article-title>Mortality prediction in intensive care units with the super icu learner algorithm (sicula): a population-based study</article-title>
          .
          <source>The Lancet Respiratory Medicine</source>
          <volume>3</volume>
          (
          <issue>1</issue>
          ),
          <volume>42</volume>
          {
          <fpage>52</fpage>
          (
          <year>2015</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          18.
          <string-name>
            <surname>Purushotham</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Meng</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Che</surname>
            ,
            <given-names>Z.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Liu</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          :
          <article-title>Benchmark of deep learning models on large healthcare mimic datasets</article-title>
          .
          <source>arXiv preprint arXiv:1710.08531</source>
          (
          <year>2017</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>
          19.
          <string-name>
            <surname>Schmid</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Goepfert</surname>
            ,
            <given-names>M.S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Reuter</surname>
            ,
            <given-names>D.A.</given-names>
          </string-name>
          :
          <article-title>Patient monitoring alarms in the icu and in the operating room</article-title>
          .
          <source>Critical care 17(2)</source>
          ,
          <volume>216</volume>
          (
          <year>2013</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          20.
          <string-name>
            <surname>Singh</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tamminedi</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Yosiphon</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ganguli</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Yadegar</surname>
            ,
            <given-names>J.:</given-names>
          </string-name>
          <article-title>Hidden markov models for modeling blood pressure data to predict acute hypotension</article-title>
          .
          <source>In: Acoustics Speech and Signal Processing (ICASSP)</source>
          ,
          <year>2010</year>
          IEEE International Conference on. pp.
          <volume>550</volume>
          {
          <fpage>553</fpage>
          .
          <string-name>
            <surname>IEEE</surname>
          </string-name>
          (
          <year>2010</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          21.
          <string-name>
            <surname>Subbe</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Kruger</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Rutherford</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gemmel</surname>
            ,
            <given-names>L.</given-names>
          </string-name>
          :
          <article-title>Validation of a modi ed early warning score in medical admissions</article-title>
          .
          <source>Qjm</source>
          <volume>94</volume>
          (
          <issue>10</issue>
          ),
          <volume>521</volume>
          {
          <fpage>526</fpage>
          (
          <year>2001</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation>
          22.
          <string-name>
            <surname>Vincent</surname>
            ,
            <given-names>J.L.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Moreno</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Takala</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Willatts</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>De Mendonca</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bruining</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Reinhart</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Suter</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Thijs</surname>
            ,
            <given-names>L.</given-names>
          </string-name>
          :
          <article-title>The sofa (sepsis-related organ failure assessment) score to describe organ dysfunction/failure (</article-title>
          <year>1996</year>
          )
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>