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  <front>
    <journal-meta>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>debated topic⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Andrea Campagner</string-name>
          <email>andrea.campagner@unimib.it</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lorenzo Famiglini</string-name>
          <email>l.famiglini@campus.unimib.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Beatrice Arosio</string-name>
          <email>beatrice.arosio@unimi.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Paolo Rossi</string-name>
          <email>paolodionigi.rossi@gmail.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giorgio Annoni</string-name>
          <email>giorgio.annoni@unimib.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Federico Cabitza</string-name>
          <email>federico.cabitza@unimib.it</email>
          <xref ref-type="aff" rid="aff3">3</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Clinical Sciences and Community Health, University of Milan</institution>
          ,
          <addr-line>Via della Commenda 19, 20122 Milan</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Dipartimento di Medicina , Università di Milano-Bicocca</institution>
          ,
          <addr-line>Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>General Medicine, Hospital San Leopoldo Mandic</institution>
          ,
          <addr-line>Largo Mandic, 1, 23807, Merate (Lecco)</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>IRCCS Istituto Ortopedico Galeazzi</institution>
          ,
          <addr-line>Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>University of Milano-Bicocca</institution>
          ,
          <addr-line>Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Dementia refers to a group of neurodegenerative disorders that impact the cognitive function of an increasing number of individuals. Because of the variety of manifestations, the idea of mixed dementia has recently garnered increased awareness and attention from the scientific community. In this work, we describe a high-quality dataset, as well as the findings of a preliminary analysis devoted to investigating the potential of computational methods that are highly indicative of mixed dementia. We will specifically describe the findings of a phenotypic stratification analysis, based on clustering approaches, that highlights possibly significant aspects of mixed dementia, paving the way for further research devoted to the application of Machine Learning techniques to the robust and early diagnosis of mixed dementia.</p>
      </abstract>
      <kwd-group>
        <kwd>mixed dementia</kwd>
        <kwd>dementia</kwd>
        <kwd>medical Artificial Intelligence</kwd>
        <kwd>clustering analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>CEUR
ceur-ws.org</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>
        Dementia is a term that encompasses a range of neurodegenerative diseases that afect the
cognitive function of a growing number of patients worldwide, in the order of tens of millions,
as the global population ages. Among the diverse subtypes of dementia, Alzheimer’s disease
(AD) and vascular dementia (VaD) are the most prevalent [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ] but Lewy body dementia can
occur either alone or in any combination with the above mentioned types of conditions. In light
of this heterogeneity of manifestations, recently the concept of mixed dementia has received
CEUR
Workshop
Proceedings
increasing recognition and attention by the scientific community: mixed dementia is a condition
characterized by the coexistence of features of more than one form of dementia (typically AD
and VaD). Clearly, due to the overlap of symptoms among its constituent conditions, diagnosing
mixed dementia poses a unique set of challenges. Moreover, conventional diagnostic tests
often cannot distinguish mixed dementia from its individual components, and this can lead to
misdiagnosis and inappropriate treatment plans [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The complex pathology of this condition
further complicates the interpretation of biomarkers and neuroimaging studies, which may
reflect aspects of multiple underlying diseases [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Moreover, recent studies [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] have cast
uncertainty upon some established points in the scientific community, regarding the role of
plaques in brain tissue as a primary cause of the illness (the so-called amyloid hypothesis) and
the importance of imaging in the diagnosis of dementia.
      </p>
      <p>
        For all these reasons, finding new and better ways to early and accurately diagnose mixed
dementia is pivotal for efective treatment and care. For instance, traditional interventions for
AD, such as cholinesterase inhibitors, have demonstrated limited eficacy in treating mixed
dementia, underlining the need for targeted treatments [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Moreover, an early diagnosis enables
timely management of vascular risk factors, which could attenuate the progression of cognitive
decline. In light of these challenges, there is a strong need for the development of reliable
diagnostic methods. Recent advancements in the fields of machine learning and computational
neuroscience ofer promising avenues for creating robust algorithms capable of classifying
complex cases of mixed dementia by potentially integrating a wide range of data, including
neuroimaging, genomics, and clinical assessments.
      </p>
      <p>This manuscript aims to present how a unique and high-quality dataset, collected at the
Policlinico Hospital of Milan (Italy), can be exploited to explore the potential of computational
methods such as predictive computing or clustering techniques, in detecting biomarker patterns
that are unique to, or highly indicative of, mixed dementia. In particular, we will present the
results of a preliminary analysis, based on the above-mentioned dataset, aimed at the description
and phenotypic stratification of mixed dementia. By using clustering techniques and statistical
inference methods for doing so, we aim to contribute to filling a critical gap in the literature by
focusing on the early detection, classification, and phenotypic stratification of mixed dementia,
thereby facilitating targeted early detection and personalized therapeutic interventions for this
complex and highly impactful disease of our times.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Methods</title>
      <p>In this section, we describe the methodology adopted for the descriptive analysis and phenotypic
stratification of the dataset. The dataset for this study was collected at the Policlinico Hospital
of Milano (Milan, Italy) and encompassed 911 records (for as many single patients), collected
between March 2009 and March 2018. The dataset encompassed a total of 71 columns, including
demographics, co-morbidity, clinical information as well as laboratory parameters. The full
list of features is reported in Tables 1 and 2. In particular, in the dataset, each patient was
associated with one among seven diagnoses of dementia (not including the control group),
namely: Alzheimer’s Disease (AD), Parkinson’s Disease (PD), Dementia with Lewy’s Bodies
(LB), Frontotemporal Dementia (FTD), Mild Cognitive Impairment (MCI), idiopathic Normal
Pressure Hydrocephalus (iNPH), Mixed dementia (MD).</p>
      <sec id="sec-3-1">
        <title>2.1. Preprocessing</title>
        <p>The initial step in preprocessing involved removing missing or duplicate entries from the dataset,
which initially comprised 911 records. Columns that were considered not relevant for clinical
purposes, such as practice number and date of entry, were excluded from further analysis.</p>
        <p>
          Missing data were addressed by eliminating rows and subsequently, columns with at least
40% missing values, resulting in a dataset of 906 instances and 61 columns. Given the dataset’s
combination of discrete and continuous variables, we employed diferent strategies for handling
remaining null values. For discrete variables, instances with missing values were removed,
while continuous variables were imputed using the MICE (Multivariate Imputation by Chained
Equations) algorithm [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. This yielded a dataset of 899 instances and 61 variables.
        </p>
        <p>
          Outlier detection and removal were performed using the Isolation Forest algorithm [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ],
leading to the identification and elimination of 90 outliers.
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>2.2. Dimensionality reduction and Clustering</title>
        <p>
          Since the dataset encompassed both discrete and continuous features, the Gower similarity
coeficient [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ] was employed to calculate distances among instances in the dataset.
Dimensionality was subsequently reduced using the t-SNE algorithm [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ], setting the perplexity
hyper-parameter to 20, and the number of iterations to 3500. We decided to use t-SNE, rather
than other dimensionality reduction methods (e.g., PCA), as it allows to flexibly model non-linear
relationships among features.
        </p>
        <p>
          HDBSCAN clustering [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ] was applied to the reduced data: specifically, HDBSCAN was
applied to the output of the t-SNE dimensionality reduction step. We decided to use HDBSCAN
as, being a density-based algorithm, it does not require the specification of a fixed number
of clusters, but rather allows the automatic discovery of the number of groups in the data.
Specifically, we decided to use HDBSCAN rather than DBSCAN or OPTICS as it does not
require the specification of a distance threshold, which is automatically inferred through the
application of a hierarchical clustering algorithm, while being less prone to the identification of
noisy clusters. Cluster quality was assessed by visual inspection and analysis of the features’
distributions in the diferent clusters (see next Section). Hyper-parameters of both t-SNE nad
HDBSCAN (in particular, perplexity) were selected so as to optimize the Silhouette score of the
resulting clustering (thus, the criterion for hyper-parameter selection was based on a purely
internal criterion, with no reference to the dementia-type labeling of patients).
        </p>
      </sec>
      <sec id="sec-3-3">
        <title>2.3. Statistical Testing and Correction</title>
        <p>To examine the characteristics of patients in diferent clusters, and understand if these correlated
with diferent forms of dementia, we applied various statistical tests to compute p-values for
both discrete and continuous variables within these clusters.</p>
        <p>For discrete variables, we used the proportions Z-test. By contrast, for continuous variables,
the non-parametric Mann-Whitney U test was employed. Considering that multiple tests were
performed across diferent variables, we applied the Benjamini-Hochberg false discovery rate
correction method to adjust the p-values, which allows to control the false discovery rate among
a family of related hypothesis tests.</p>
        <p>Feature
Sex
Marital Status
Education</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>3. Results</title>
      <p>
        The distributions of both the discrete and continuous features are summarized in Tables 1 and
2. Mixed dementia occurred in approximately 1 out of 4 patients. The dataset was strongly
imbalanced in terms of both sex (females had about twice the frequency of males): this imbalance,
however, is consistent with the literature on dementia [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. We also found a skewed age
distribution (average age higher than 75), which is consistent with dementia being an
agingrelated spectrum of diseases. The results of the outlier analysis are reported in Figure 1.
      </p>
      <p>The results of the t-SNE dimensionality reduction step are reported in Figure 2: patients who
were associated with mixed dementia clustered separately from other patients.</p>
      <p>The results of the clustering analysis are reported in Figure 3. HDBSCAN identified three
diferent clusters (as well as regions of noise points surrounding and separating them): in
particular, cluster 1 (teal color in Figure 3) was strongly associated with patients diagnosed with
mixed dementia. The coverage of the clusters was 75% (approximately 1 instance out of 4 was
classified as a noise point), while the DBVC score was 0.4.</p>
      <p>To understand why individuals with mixed dementia clustered separately, as highlighted
in Figures 2 and 3, we focused on clusters 1 and 2 generated by the HDBSCAN, which were
the most populated and representative subsets. We detected significant diferences among
the two clusters, both for discrete features (Sex: .013, Hypovisus &lt; .001, Hearing loss: .020,
Atherosclerosis: 0.026, Anxiety/depression: .019, Cerebrovascular disease: &lt;.001, Cognitive
impairment: &lt; .001, Sleep disorders: .038, Abnormal gait: &lt; .001, Peripheral edema: &lt; .004) as
well as continuous ones (Age: &lt; .001, MMSE: &lt; .001, Hemoglobin: .009, Red blood cells: .043,
Platelets: .024, K: .003, AST GOT: .013, ALT GPT: &lt; .001, Vitamin D: &lt; .001).</p>
    </sec>
    <sec id="sec-5">
      <title>4. Conclusion</title>
      <p>In this article we described a high-quality dataset, collected with the aim of providing a repository
of information that could be used to explore the characteristics of diferent neurodegenerative
diseases, chiefly among them mixed dementia. Through the application of dimensionality
reduction and clustering analysis, as well as statistical inference methods that were used to
ground the above-mentioned analyses and assess for relevant diferences in characteristics
among the identified groups, we provided a phenotypic stratification of the population of
patients. Our results highlight how patients afected by mixed dementia can be characterized by
means of a phenotypic signature (in terms of both comorbility distribution as well as laboratory
chemistry characteristics, see our Discussion on hypothesis testing based on the clustering
analysis above) that was markedly diferent from that of other groups of patients.</p>
      <p>
        While these observations are the results of only a preliminary analysis, we believe them
to be very promising in showing the applicability of modern data analysis techniques for
addressing the need of establishing more objective, rapid and grounded diagnostic criteria
for dementia. Indeed, the features we identified as being characteristic of mixed dementia
either refer to easily detectable comorbilities (e.g., hypovisus, hearing loss), or to laboratory
parameters that are routinely collected when requesting blood exams [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Interestingly, while
some of these characteristics have been previously associated with other forms of dementia
or neurodegenerative diseases (such as hearing loss [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], blood chemistry parameters [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ],
or also Vitamin D intake [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]) up to our knowledge this work is the first to provide such a
phenotyping for mixed dementia: future clinical examination and analysis should be devoted at
better exploring the significance and interpretation of these findings.
      </p>
      <p>In light of our promising results, we believe that future work should be devoted at exploring
the potential of applying Machine learning methodologies to the analysis of mixed dementia
as well as related diseases. In this sense, we believe that a relevant next step would be the
application of predictive modeling and supervised learning techniques for the diagnosis of
mixed dementia, as well as the application of eXplainable AI techniques for providing more
data-driven exploration of the characteristics of this highly impactful disease. Furthermore, we
believe that applying techniques for stratified and adaptive data analysis, to better study the
association between population groups and dementia-related diseases.</p>
    </sec>
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