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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Computational Humanities Research Conference, November</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Classifying Latin Inscriptions of the Roman Empire: A Machine-Learning Approach</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vojtěch Kaše</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Petra Heřmánková</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Adéla Sobotková</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Aarhus University, Department of History and Classical Studies</institution>
          ,
          <addr-line>Jens Chr. Skous Vej 5, Aarhus, 8000</addr-line>
          ,
          <country country="DK">Denmark</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of West Bohemia, Department of Philosophy</institution>
          ,
          <addr-line>Sedláčkova 19, 30514, Plzeň</addr-line>
          ,
          <country country="CZ">Czech Republic</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>1</volume>
      <fpage>7</fpage>
      <lpage>19</lpage>
      <abstract>
        <p>Large-scale synthetic research in ancient history is often hindered by the incompatibility of taxonomies used by diferent digital datasets. Using the example of enriching the Latin Inscriptions from the Roman Empire dataset (LIRE), we demonstrate that machine-learning classification models can bridge the gap between two distinct classification systems and make comparative study possible. We report on training, testing and application of a machine learning classification model using inscription categories from the Epigraphic Database Heidelberg (EDH) to label inscriptions from the Epigraphic Database Claus-Slaby (EDCS). The model is trained on a labeled set of records included in both sources (N =46,171). Several diferent classification algorithms and parametrizations are explored. The final model is based on Extremely Randomized Trees algorithm (ET) and employs 10,055 features, based on several attributes. The final model classifies two thirds of a test dataset with 98% accuracy and 85% of it with 95% accuracy. After model selection and evaluation, we apply the model on inscriptions covered exclusively by EDCS (N =83,482) in an attempt to adopt one consistent system of classification for all records within the LIRE dataset.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Latin inscriptions</kwd>
        <kwd>document classification</kwd>
        <kwd>comparative analysis</kwd>
        <kwd>Roman Empire</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        A principal goal of digital scholarship is to produce new insights through the aggregation and
synthesis of many sources [cf. 31, 3, 24, 28, 26, 25, 10]. Our ability to address fundamental
historical questions, such as the waxing and waning of cities and civilizations, depends on our
capacity to efectively reuse and integrate large evidentiary datasets [
        <xref ref-type="bibr" rid="ref2 ref20">20, 2</xref>
        ]. Data integration
is a process of transforming datasets that were recorded in diferent ways into a single unified
dataset with analytically comparable observations [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. Achieving efective integration is often
hindered by heterogeneous classification systems employed by diferent sources. The Epigraphic
Database Heidelberg (EDH) and Epigraphik Datenbank Clauss-Slaby (EDCS) projects, for
example, catalogue Latin inscriptions from the ancient Mediterranean, but utilize incompatible
categories in their description. These discrepancies need to be systematically resolved before
comparative analysis can proceed. In this paper, we reconcile inscription type categories in
these two sources by training, testing, and applying machine-learning classification models.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Material &amp; Methods</title>
      <p>
        2.1. EDH
The Epigraphic Database Heidelberg (EDH) represents a flagship resource for the field of Latin
digital epigraphy. It has been in development for 35 years, providing meticulously curated
content and built with the consideration of open-research needs such as easy accessibility
and reuse [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. In 2021, the EDH dataset included over 81,000 inscriptions, ofering a balanced
distribution of material from the Western and Northern Roman provinces from the first century
BC to the fourth century AD and facilitating quantified spatio-temporal studies of the Empire
[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>
        The EDH dataset is programmatically accessible via the public API [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Alternatively,
researchers can access the data in raw EpiDoc format, an XML/TEI standard format for
digital publication of inscriptions [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. An older version of the data is stored at Zenodo and
GitHub archive.
2.2. EDCS
The Epigraphik Datenbank Clauss-Slaby (EDCS) represents the most extensive digital resource
for Latin epigraphy, containing over 500,000 inscriptions collected from printed publications or
other digital sources. EDCS covers the Latin epigraphic production in the entire Mediterranean
with the bulk of data originating from Rome, dated between the first and fourth centuries AD.
Its limitations include no support for programmatic access and frequent omissions in temporal
data as well as other inscription descriptors. Even after streamlining and data enrichment
from available linked sources, the enriched EDCS dataset contains 29 attributes, compared to
74 attributes in the enriched EDH dataset. If a researcher can work within these constraints,
EDCS ofers an unparalleled spatial and temporal coverage.
      </p>
      <sec id="sec-2-1">
        <title>2.3. LIRE: combining EDH &amp; EDCS</title>
        <p>The LIRE dataset represents an aggregate of the streamlined and enriched EDH and EDCS
datasets (as published on Zenodo). The process of aggregation and filtering included several
steps:
• mapping and deduplication of the records included in both sources, using the EDH-ID
listed in the ‘links’ attribute of EDCS and linked data in the Trismegistos TexRelations
API;
• filtering for records with valid geospatial data, represented by a pair of coordinates
• filtering for records that fall within the boundaries of the Roman Empire at its largest
extent (under Trajan in AD 117; as delimited by the Pleiades project shapefile );
• filtering for records containing temporal information in the form of a temporal interval
of creation, expressed in years and stored in attributes ‘not_before’ and ‘not_after’;
• filtering for records whose temporal interval of creation intersects with the timespan of
the Roman Empire (arbitrarily set to 50 BC through AD 350).</p>
        <p>
          The deduplication and filtering reduced the number of records in the aggregate substantially:
the initial 500,000+ records in EDCS and 81,000+ records in EDH produced 137,305 records
that had a valid date and location within the boundaries of the Roman Empire. The resulting
LIRE dataset contained 49,916 inscriptions shared by the EDH and EDCS, inheriting attributes
from both parent collections. In addition, there were 3,907 inscriptions recorded exclusively in
EDH and 83,482 inscriptions originating solely from EDCS, containing set of attributes only
from the parent dataset. After combining the valid unique records from the two sources and
appending their attributes, we sought to integrate the attributes. The following attributes were
shared and used consistently across the two sources, and could be combined in a straightforward
way, with data originating in EDH taking precedence over EDCS whenever the attributes
overlapped (cf. [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]):
• ‘clean_text_interpretive_word’: text of the inscription without the Leiden Conventions
for editorial markup of texts;
• ‘not_before’: start of the chronological interval (‘terminus post quem’);
• ‘not_after’: end of the chronological interval (‘terminus ante quem’);
• ‘geography’: latitude/longitude point coordinates
.
        </p>
        <p>Some of the attributes shared by both sources, however, could not be easily integrated
such as the EDH attribute ‘type_of_inscription_clean’. Type of inscription is an
interpretive category that labels the function of an inscription following one of established domain
typologies. Epigraphers classify inscription function after evaluating its content, context, and
physical form during the first publication. As type definitions are broad and ambiguous, label
assignment is subjective and may fluctuate through time.</p>
        <p>
          The ‘type_of_inscription_clean’ column in EDH implements the controlled vocabularies of
the EAGLE Europeana Project, a standardized list of inscription types created in 2013-2015
to tackle the vagueness of existing typologies [
          <xref ref-type="bibr" rid="ref22 ref23">23, 22</xref>
          ]. Single label per inscription and efort
invested into standardisation were the main reasons we decided to use EDH as the training
dataset for the present model.
        </p>
        <p>EDCS stores the type of inscription information in an attribute ‘status_list’ together with
other information extracted from the text of inscriptions, such as the social status of
persons named in the text, e.g. slaves, priests, or high-ranking officials. We extracted the type
values into a separate ‘inscr_type’ attribute. The resulting column, however, was often
multivalued and followed a diferent typology than EDH, relying on Latin labels and referring to
non-overlapping categories. The category ‘owner/artist inscription’ in EDH, for example,
corresponds both to ‘tituli possessionis’ and ‘tituli fabricationis’ in EDCS, hampering dataset-wide
comparison. To overcome such limitations and have a consistent typology applied across the
entire dataset, we reclassified the inscriptions from EDCS using the inscription type categories
from EDH.</p>
        <p>
          All scripts used for aggregation, filtering and enriching of the LIRE dataset are available
on GitHub. The repository includes training, evaluation, selection, and application of the
classification model introduced below. The final version of the dataset is also published via
Zenodo [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ].
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.4. Classification task</title>
        <p>We trained a machine-learning classification model using the EDH-labeled subset of inscriptions
with attributes from both sources. From the 49,916 inscriptions which are shared by both
the EDH and EDCS dataset, 46,171 records are properly labeled, i.e. classified using the
‘type_of_inscription_clean’ attribute in EDH. These were used for training of the classification
model. The remaining 3,745 inscriptions were classified as ‘NULL’ and thus were excluded from
the training.</p>
        <p>There are 22 unique classification categories among EDH labels. Their distribution is highly
imbalanced (see Table 4). The three most common categories in the training set are ‘epitaph’
(N =21,520), ‘votive inscription’ (N =11,728), and ‘owner/artist inscription’ (N =3,340). The
three least common are ‘assignation inscription’ (N =15), ‘calendar’ (N =10), and ‘adnuntiatio’
(N =1).</p>
        <p>
          For a preliminary model selection, we compared outcomes of several supervised machine
learning algorithms commonly used for document classification [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ], namely:
• Logistic Regression (LR) [29]
• Support-vector Machine (SVM)[
          <xref ref-type="bibr" rid="ref14 ref7">7, 14</xref>
          ]
• Random Forests (RF) [
          <xref ref-type="bibr" rid="ref14 ref6">6, 14</xref>
          ]
• Extremely Randomized Trees (ET)[
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]
All the algorithms have been implemented using Python 3 [30] and the Scikit-learn library
[
          <xref ref-type="bibr" rid="ref27">27</xref>
          ], using standardized recipes based on [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ].
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>2.5. Features extraction and selection</title>
        <p>
          For training of the models, we combined features extracted from several diferent EDCS
attributes, namely:
• ‘status_list’, including information about the inscription category according to EDCS
combined with other metadata (‘status/titulorum distributio’ in EDCS)
• ‘Material’, containing information about the predominant material or medium on which
the inscription is found
• ‘clean_text_interpretive_word’, text of the inscription without the Leiden Conventions
for editorial markup of texts, see [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]
        </p>
        <p>
          The content of the three attributes was extracted independently, preprocessed, and then
combined together into a ‘bag-of-words’ model to feed a tfidf vectorizer [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]. Underscore was
used to treat any multi-word feature as one-word feature (e.g. ‘tituli_fabricationis’ instead of
‘tituli fabricationis’). The text of the inscriptions in the attribute ‘clean_text_interpretive_word’
was treated on the level of continuous bigrams, since bigrams are suitable to capture the
formulaic language of inscriptions. As a result of this preprocessing, we obtained a list consisting
of the following features:
• 37 features based on unique values from the ‘status_list’ attribute
• 18 features based on unique values from the ‘Material’ attribute (e.g. ‘lapis’, ‘opus_figlinae’,
‘aes’)
• 100, 1,000, or 10,000 features based on a corresponding number of the most frequent
bigrams from the text of the inscriptions (e.g. ‘Dis_Manibus’, ‘vixit_annos’ or
‘votum_solvit’)
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Results</title>
      <sec id="sec-3-1">
        <title>3.1. Classification model selection and evaluation</title>
        <p>To evaluate performance of each model variant, we relied mainly on weighted variant of the F1
score, referred below as F1(w). The F1(w) score is the harmonic mean of Precision (proportion
of every observation predicted to be positive that is actually positive) and Recall (proportion
of every positive observation that is truly positive). The weighted variant of the F1(w) score
metric, which is consistently reported below, takes into account label imbalances: for each
label, the average value of both metrics is weighted by the number of true instances. In some
cases, we also report accuracy, which equals to the proportion of correctly classified records,
what makes it very intuitive. But it has to be taken with reservation here, since it does not
take into account class imbalances.</p>
        <p>For a preliminary model evaluation, we explored diferent combinations of the above
mentioned feature groups and trained and tested diferent models on a subset of 5000 labeled
records (80 % for training and 20 % for testing, using stratified k-fold cross-validation method).
For instance, using the 37 features based on the ‘status_list’ attribute only, LR resulted
in F1(w)=0.724. The performance of the model slightly improved when we added 18
features based on the ‘Material’ attribute (F1(w)=0.734); but the model improved substantially
when we included the bigrams, from F1(w)=0.786 for the 100 most frequent bigrams up to
F1(w)=0.832 for the 10,000 most frequent bigrams (the reported F1(w) is an average based on
5 stratified cross-fold validation tests). Thus, for the subsequent model selection we employed
the features set including 10,000 bigrams.</p>
        <p>Table 1 shows the diferences in performance of the above introduced classification algorithms
trained on a subset of 4,000 randomly chosen inscriptions and the above specified features set.
In the case of LR and SVM, we tested diferent settings of the C parameter, which stands for
inverse regularization strength. In the case of RF and ET, we explored several diferent values
for the number of estimators. We see that the best results are achieved by LR (C =1000) and
ET (n_estimators=100).</p>
        <p>Drawing on these results, we continued with LR and ET only and trained them on the full
dataset. In this setting, ET significantly outperforms LR, with F1(w)=0.878 over F1(w)=0.867
(the reported F1(w) is an average based on 10 stratified cross-fold validation tests). On the
basis of these results, we continued with the ET model which we also saved for future reuse.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Probabilities and precision table</title>
        <p>Each prediction of the model is accompanied by probability on scale 0-1, expressing a level of
certainty concerning the predicted classification category. The resulting probabilities might be
used to formulate thresholds under which the classification will not be accepted. In Table 2,
we see that 96 % of inscriptions in the test dataset were classified with probability equal
toor higher than 0.4 and that this classification was correct in more than 90 % of cases (see the
‘accuracy’ score column). Further, approximately 85 % of inscriptions have been classified with
probability equal to or higher than 0.6. From these more than 95 % were classified correctly.
These are important observations, which might be used later on when we apply the model upon
unlabeled data, where we can expect comparable ratios between threshold values, proportions
of covered inscriptions, and the extent of correct classifications.</p>
        <p>However, before we proceed to apply the model on unlabeled data, we have to evaluate the
performance of the model with respect to individual categories. For that purpose, we generated
a precision table in Figure 1, where we see the model’s accuracy with respect to 10 most
common categories. We see that the accuracy difers from category to category. In case of 4
categories (‘epitaph’, ‘votive inscription’, ‘mile-/leaguestone’, and ‘defixio’) the model correctly
classifies 98 % or more records. For instance, it correctly classifies all 18 instances of ‘defixio’
in the test set. In the case of other categories, the performance is much worse: e.g. from 4
instances of ‘list’, 3 are incorrectly classified as ‘epitaph’. The ambiguity of ‘list’ definition in
the EAGLE vocabularies likely causes the inconsistent manual markup in EDH and the poor
reclassification performance.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Classification model application</title>
        <p>After tuning, training, and testing the model on labeled data, we proceeded to apply the model
on 83,482 inscriptions which are recorded exclusively in EDCS. Further, employing the 0.6
probability threshold, we accepted the automatic labels for 82 % of inscriptions in the dataset.
To estimate the proportion of correctly classified inscriptions within this subset, we generated
a random sample of 100 inscriptions. The sample was labeled manually by two domain experts.
The first expert was drawing on the same attributes as the automatic classifier. In this case,
the manually and automatically assigned labels were in agreement in 94% of cases. Another
domain expert manually labeled the data without taking into consideration the ‘status_list’
attribute. In this case, the agreement with the automatically assigned labels was approximately
88%. Combining this with the results from the test set, we estimate between 90 and 95 % of
When we look at the LIRE dataset as a whole, we see that from the 137,305 inscriptions,
117,710 (85 %) are classified in ‘type_of_inscription_auto’ with probability equal to- or higher
than 0.6. In the following overview of LIRE, we use this probability as a cut-of threshold,
under which the automatically assigned categories are not accepted and the corresponding
records are excluded from the cross-category comparison.</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Cross-category comparison of the LIRE dataset</title>
        <p>
          blocks. The width of the resulting curve, which changes from time block to time block, reflects
the extent of temporal uncertainty in the underlying data. Adopting this approach, we are
able to assess temporal trends in the datasets and to compare the diferences in temporal
distributions of individual inscription types. For instance, we see that the temporal distribution
of epitaphs changes substantially if we use the EDH dataset versus the LIRE dataset, which
contains a larger number of epitaphs inherited from EDCS. It reveals that the spike in the
production of epitaphs in EDH (a) in the second half of the second century AD disappears
once we include the epitaphs from EDCS (c). This trend is only apparent after the automatic
reclassification, as the original classification systems were mutually incompatible and not yet
mapped onto a single ontological system [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>
        Many data collections in small-science disciplines are fragmented among numerous content
silos. Scholars wishing to synthesise these fragments need to ensure their analytical
comparability, specifically column- and value-level consistency. Such consistency has been achieved
in the past through semi-automatic mapping to relevant ontologies (see tDAR example in
[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]) or through loose-coupling (see OpenContext, [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]). The machine learning applied here
sits between the ontology and loose coupling approaches. With sufficiently large,
representative, and well-described training dataset, an algorithm learns to make interpretive
decisions like a trained epigrapher. The classifier here fully-automatically extends patterns
observed in 40,000 inscription labeled records to additional 80,000 unlabelled records, creating a
‘type_of_inscription_auto’ attribute.
      </p>
      <p>
        Despite the relatively high accuracy rates reported above, there is still the probability that
every 20th automatically classified inscription is classified erroneously. Imperfections in the
training dataset due to the ambiguity of inscriptions likely contribute. We can also look to
other studies for guidance. Survey pottery specialists, for example, point to ambiguity
surrounding the interpretation of type and chronology in artefacts that sufer from high wear and
fragmentation [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Epigraphic monuments are material remains. We can expect uncertainty
to be inevitable in highly fragmented and short inscriptions.
      </p>
      <p>Finally, when integrating two typologies, the choice will always entail a compromise that
carries with it some limitations. Inspecting the LIRE inscriptions by type across the
longterm in Figure 2(c), most major trends from EDH (Figure 2a) and EDCS (Figure 2b) are
preserved (e.g. dominance of epitaphs and votives) with subtle alterations to trajectories due
to the combined data. Detailed labels from EDCS ‘tituli fabricationis’ and ‘tituli possesionis’
have been combined into one overarching category ‘owner/artist inscription’, which might
be a problem if the originals have special value for the next researcher. The one category
that disappears is the ‘tituli christianae’, utilized by EDCS but absent from EDH. It was
relabelled as ‘epitaph’ in the LIRE dataset, causing a secondary rise associated with this
category around AD 300. This may be a loss for scholars of Early Christianity, but represents
a move towards greater consistency from a cultural label towards a functional description.
While LIRE accomplishes our needs of comparability, the approach is flexible and the selection
of classification can be flipped around should other scholars need it.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Acknowledgments</title>
      <p>This research was funded by the Aarhus University Forskningsfond Starting grant no.
AUFFE-2018-7-22 awarded to the ‘Social Complexity in the Ancient Mediterranean’ (SDAM) project.</p>
    </sec>
  </body>
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