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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>April</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>On the Analysis of Large Integrated Knowledge Graphs for Economics, Banking, and Finance</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Shuai Wang</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science, Vrije Universiteit Amsterdam</institution>
          ,
          <addr-line>1081 HV Amsterdam</addr-line>
          ,
          <country country="NL">the Netherlands</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2022</year>
      </pub-date>
      <volume>1</volume>
      <issue>2022</issue>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Knowledge graphs are being used for the detection of money laundering, insurance fraud, and other suspicious activities. Some recent work demonstrated how knowledge graphs are being used to study the impact of the COVID-19 outbreak on the economy. The fact that knowledge graphs are being used in more and more interdisciplinary problems calls for a reliable source of interdisciplinary knowledge. In this paper, we study the integration of knowledge graphs in the domains of economics, banking, and finance. Our integrated knowledge graph has over 610K nodes and 1.7 million edges. By performing statistical and graph-theoretical analysis, we demonstrate how the integration results in more entities with richer information. Its quality was examined by analyzing the subgraphs of the identity links and (pseudo-)transitive relations. Finally, we study the sources of error, and their refinement and discuss the benefit of our integrated graph.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Integrated knowledge graphs</kwd>
        <kwd>knowledge graph analysis</kwd>
        <kwd>knowledge graph refinement</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        1. Introduction
based on the dynamics of complex inter-connected
systems. Unfortunately, many sources of knowledge were
The 2008 financial crisis urged early detection of systemic developed independently of each other. Fusing these
inrisk to national and world economies in derivatives mar- dependent KGs could lead to a significantly richer source
kets. The relative size of these markets is a fundamental of knowledge which could improve the performance of
risk to geopolitical as well as economic security [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. One existing applications. In this paper, we study
properof the trendy tools that can be used for the modelling of ties of the integration of knowledge graphs by analyzing
relations between companies and their economic behav- the statistical and graph-theoretical properties. More
ior is knowledge graph. Knowledge graphs show great specifically, we study properties of integrated knowledge
potential in use as they can represent companies struc- graphs by combining existing knowledge graphs in the
tured in complex shareholdings, as well as information domains of economics, banking, and finance.
about investment, acquisition, bankruptcy, etc. Shao et al. Finance The Financial Industry Business Ontology
used knowledge graphs of real financial data where nodes (FIBO) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] includes formal models that are intended to
deare customer, merchant, building, etc. The edges can be ifne unambiguous shared meaning for financial industry
transactions between customers, residential information concepts. Another popular ontology is the Financial
Regabout customers, etc. As a benefit of the graphical struc- ulation Ontology (FRO), which has been used as a higher
ture, their knowledge graph captures interrelations and level, core ontology for ontologies such as the Insurance
interactions across tremendous types of entities more Regulation Ontology1 (IRO), the Fund Ontology2, etc.
efectively than traditional methods. They performed Economics The STW (Standard Thesaurus
extensive experiments and demonstrated the usage of Wirtschaft) Thesaurus for Economics was
develknowledge graphs in the consumer banking sector [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. oped by the German National Library of Economics
Bellomarini et al. address the impact of the COVID- (ZBW) and gained popularity in scientific institutes,
19 outbreak on the network of Italian companies using libraries and documentation centers, as well as business
knowledge graphs of millions of nodes [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Such projects information providers. The JEL classification system was
require multiple types of domain knowledge, from com- initially developed for use in the Journal of Economic
pany ownership to public health policy, from bankruptcy Literature (JEL) [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and is now a standard method of
to social resilience. The essence of such knowledge be- classifying scholarly literature in the field of economics.
comes clear for strategy formation and policy making Banking Knowledge graphs have attracted increasing
attention in the banking industry over the past decade.
      </p>
      <p>The WBG Taxonomy3 includes 3,882 concepts. It serves
as a small classification schema which represents the
concepts used to describe the World Bank Group’s topical</p>
    </sec>
    <sec id="sec-2">
      <title>1https://insuranceontology.com/</title>
      <p>
        2https://fundontology.com/
3https://vocabulary.worldbank.org/PoolParty/wiki/taxonomy
knowledge domains and areas of expertise, providing ontology alignment and the set of correspondences is
an enterprise-wide, application-independent framework. called a mapping or an alignment.
In comparison, the Bank Regulation Ontology (BRO) is By integrating knowledge graphs of various domains,
much bigger and uses two industrial standards, namely we expect more entities and richer information for
entiFIBO and LKIF [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], as its upper ontology. It was built on ties. The following is a list of 11 knowledge graphs we
top of the FRO ontology, as mentioned above. Unfortu- collected from 9 projects in the domains of economics,
nately, many knowledge graphs are developed by banks banking, and finance.
and are not open source.
      </p>
      <p>In this paper we study properties of integrated knowl- 1. the Financial Industry Business Ontology (we
coledge graphs in the domain of economics, banking and lected the FIBO ontology using OWL and FIBO
ifnance. Our results show that even though the integrated vocabulary using SKOS)5
knowledge graph has some errors which have been cre- 2. the Financial Regulation Ontology (FRO)6
ated due to minor mistakes, the overall usefulness has 3. the Hedge Fund Regulation (HFR) ontology7
been improved. Our contributions are: 4. the Legal Knowledge Interchange Format (LKIF)
a) We integrate some knowledge graphs in the domain ontology8
of economics, banking, and finance and present the inte- 5. the Bank Regulation Ontology (BRO)9
grated knowledge graph consisting of over 610K entities 6. the Financial Instrument Global Identifier (FIGI) 10
and 1.7 million triples4. 7. the STW Thesaurus for Economics (and its
mapb) We study how the integration can enrich the in- pings)11
formation of entities with some statistical and graph- 8. the Journal of Economic Literature (JEL)
classifitheoretical analysis. cation system12</p>
      <p>c) We discuss the source of error and its refinement of 9. the Fund Ontology13
the integrated knowledge graph for future use.</p>
      <p>
        The paper is organised as follows: Section 2 presents Not all knowledge graphs are available: some are not
the knowledge graphs and their statistics. Section 3 open source (e.g., the Italian Ownership Graph [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]), some
presents details of the integrated knowledge graph with others are commercial (e.g., the enterprise knowledge
an analysis of the source of error, followed by a discus- graphs by Agnos.ai14) and a few are not maintained
anysion. Finally, we draw the conclusion in Section 4. more (e.g., the OntoBacen project [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]).
We used LogMap15 for the alignment between
knowl2. Integrating Knowledge Graphs edge graphs [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. LogMap is a highly scalable ontology
matching system with ‘built-in’ reasoning and
inconsistency repair capabilities. It can eficiently match
semantically rich ontologies containing tens (and even hundreds)
of thousands of classes. Considering the size of our files,
A knowledge graph  = ⟨, , , ⟩ is a directed and
labelled graph, where  is the set of nodes,  ⊆  × 
the set of edges, and  is the set of edge labels. A function
 :  → 2 assigns to each edge a set of labels from .
      </p>
      <p>The nodes  can be IRIs, literals, or blank nodes. The 5The product version retrieved from https://edmconnect.
edges  are relations between nodes and their types in ifleedsmicnouTnucritll.eorgfo/fibrmoiantt)eraensdtgrhotutpps/fib:/o/e-dpmrocdouncntse/cfibto.e-domwclounc(1il4.o7rg/
the form of triples. Ontologies are semantic models of fibointerestgroup/fibo-products/fibo-voc (1 file in Turtle format)
data that define the entities, their properties and types, respectively on 14th January, 2022.
types and subtyping, as well as relations between entities. 632 Turtle files were retrieved from https://finregont.com/
An ontology can be represented as a knowledge graph. ontology-directory-files-prefixes/ on 14th Janurary, 2022.</p>
      <p>An integrated knowledge graph G = ⟨V, E, L, l⟩ com/7o1n2tToluorgtlye-filfileess/woenre14rtehtrJiaenveudarfyro,2m02h2ttps://hedgefundontology.
is a combination of a set of  knowledge graphs 8Retrieved from http://www.estrellaproject.org/lkif-core/
{1, . . . ,  } where V = 1 ∪ . . . ∪  , E = 1 ∪ #download on 30th January, 2022.
. . . ∪  , and L = 1 ∪ . . . ∪  . A function l : E → 2l 916 Turtle files were retrieved from https://bankontology.com/
assigns to each edge a set of labels, which is the union onto10lo4gRyD-dFirfileecstowryer-efilerse-ptrrieefixveesd/ ofrnom30thhttJpasn:u//awryw, w20.o2m2. g.org/spec/
of the labels: l() = 1() ∪ . . . ∪  (). For a given set FIGI/ on 22nd December, 2021.
relations R, the subgraph is the graph GR with L = R. 11The paper used STW v9.12 based on the SKOS ontology. The
When R = {}, GR = G. Often times, such an integra- ontology and its 9 mappings files were retrieved from https://zbw.eu/
tion requires the process of determining correspondences stw/version/latest/download/about.en.html on 30th Janurary, 2022.
between concepts in ontologies. Such a process is called iden1t2iTfierhse/jTeul/ratbleofiluetwoans3re0ttrhieJvaendufarroym,2h0t2t1p.s://zbw.eu/beta/external_
13The paper used 8 Turtle files retrieved from https://
fundontology.com/ontology-files/ on 28th December, 2021.</p>
      <p>4The data and Python scripts are available at https://github.com/ 14https://agnos.ai/services
shuaiwangvu/EcoFin-integrated. 15http://krrwebtools.cs.ox.ac.uk/logmap/
we used the version with mapping repair but not the aid
of any reasoner. Unfortunately, FRO, BRO, and HFR failed
to load due to parsing errors in some files they import.</p>
      <p>Table 1 summarizes the number of pairs of entities
generated by LogMap. Overall, 1,698 unique identity links of
skos:exactMatch were added to the integrated graph.</p>
      <p>
        All the knowledge graphs were first converted to
Turtle format and then used the RDFpro16 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] for the
integration process with duplicated triples removed. RDFpro is
an open source stream-oriented toolkit for the processing
of RDF triples. We used RDFpro (version 0.6) without
smushing. The integration took 23 seconds on a 2.2 GHz
Quad-Core i7 laptop with a 16GB memory running Mac
OS. All the files were then converted to their HDT format
for further experiments. The integrated knowledge graph
consists of 1,778,755 unique triples (edges) and 610,866
nodes. It has 93MB and 22MB in its Turtle and HDT
format respectively. Table 2 summarize the statistics of the
number of nodes, edges and the size of their Turtle files.
      </p>
      <p>For the sake of speed, when studying properties of these
knowledge graphs, we use files in their HDT format.</p>
      <p>16http://rdfpro.fbk.eu/</p>
    </sec>
    <sec id="sec-3">
      <title>In this section, we first study how the information of</title>
      <p>entities can be enriched with some statistical analysis of
graph structure (Section 3.1). We then examine identity
links (e.g. skos:exactMatch) in the integrated graph
G and their corresponding subgraphs (Section 3.2).
Finally, we study transitive and pseudo-transitive relations
such as concept generalisation (Section 3.3) followed by
a discussion (Section 3.5).</p>
      <sec id="sec-3-1">
        <title>3.1. Statistical analysis</title>
        <p>We study how the information of entities can be
enriched when combining diferent resources. When an
entity is described in diferent domains, its in- and
outdegree are expected to increase. Figure 1 illustrates the
in-/out-degree of the knowledge graphs and the
integrated knowledge graph. Both the in- and out-degrees
of the integrated graph show a power-law distribution.
Moreover, the figures show that the integration increases
both the number of degrees in general and the number of
nodes with high degrees, which demonstrates how this
integration can enrich the information of entities. For
example, lkif-core-norm:allowed_by has an
outdegree of 7 in the integrated graph but the three graphs
that contain information about it has out-degrees of 2, 5,
and 1 respectively17.</p>
        <p>A strongly connected component (SCC) of a directed
graph is a maximal subgraph where there is a path
between all pairs of vertices. A weakly connected
component (WCC) is a subgraph of the original graph where
all vertices are connected to each other by some path,
ignoring the direction of edges. Table 3 summarizes the
graph-theoretical statistics. Let maxSCC and maxWCC
represent the number of nodes in the largest strongly
connected component and weakly connected component
respectively. In addition, we compute the fraction of
nodes in the biggest SCC and WCC, denoted  and 
respectively. The high values of  in the table show
that the graphs are mostly connected. More specifically,
 = 99.98% for the integrated graph, which is due to
the overlapping domains of the knowledge graphs and
the mappings. The low values of  indicate that the
underlying structure of these graphs is mostly hierarchical,
especially that of JEL, BRO, and FIBO-vD.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Analysis of identity links</title>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Identity links are relations between entities that are</title>
      <p>considered identical and intended to refer to the same
17The prefix lkif-core-norm corresponds to the namespace http:
//www.estrellaproject.org/lkif-core/norm.owl#.
triples about skos:exactMatch. In addition, there
are 8,172 triples about skos:relatedMatch, and 6,418
triples about skos:closeMatch. Figure 2 shows the
frequency distribution of the weakly connected components
in their corresponding subgraphs.</p>
      <p>
        The largest two connected components of the
subgraph of owl:sameAs are with 8 and 6 entities
each. In contrast, the largest two connected components
of skos:exactMatch are much bigger, with 119 and
45 entities respectively. For skos:relatedMatch,
the largest weakly connected component consists of
21 entities. That of skos:closeMatch consists of
52 entities. A manual examination below shows that
there are errors in these large connected components.
The mis-use of these SKOS mapping properties can
have less implications than the owl:sameAs since
skos:exactMatch indicates only “a high degree of
confidence that the concepts can be used interchangeably
across a wide range of applications”[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Moreover,
lkif-core:mereology.owl#strictly_equivalent
is a equivalence relation but corresponds to no triple18.
More discussion is included in Section 3.4.
      </p>
      <sec id="sec-4-1">
        <title>3.3. Analysis of transitive and pseudo-transitive relations</title>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Transitive relations are widely used in knowledge graphs</title>
      <p>
        on the definition of class subsumption, concept
generalisation, organisation composition, etc. Due to transitivity,
Figure 1: Distribution of in-/out-degree of nodes in knowledge entities in cycles imply some equivalence relation, which
graphs could be erroneous. Take lkif-core:component_of
for example. A triple specifies that “some thing is a
(functional) component of some other thing”. Entities in a
real-world entities. Typical identity links use relations cycle of lkif-core:component_of indicate that all
they are components of each other, which could be
errosuch as owl:sameAs and skos:exactMatch. We first
study identity links in G and their corresponding sub- neous. Some past work showed how strongly connected
graphs. In contrast to the statistics reported by Raad components can be used to locate errors when refining
et al., where owl:sameAs is much more popular than knowledge graphs [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ].
skos:exactMatch [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], our analysis shows that only 18The prefix lkif-core corresponds to the namespace http:
5,253 triples about owl:sameAs are in G against 31,254 //www.estrellaproject.org/lkif-core/.
      </p>
      <p>
        There are in total 20 relations typed Our analysis also shows that the identity links come
owl:TransitiveProperty in G. We also study solely from two sources: the owl:sameAs triples are
the pseudo-transitive relations: those relations that from the FIBO-OWL knowledge graph, the triples
are not typed owl:TransitiveProperty but shows about skos:exactMatch, skos:closeMatch, and
transitivity in their intended semantics [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. In this study, skos:relatedMatch are from STW-mappings and our
we focus on two pairs of such relations: skos:broader alignment. Mapping files about the STW subject
cateand its inverse skos:narrower, skos:broaderMatch gories were created by the alignment tool Amalgame20.
as well as its inverse relation skos:narrowerMatch. Our manual examination shows that these identity links
This section excludes relations of identity links such as are closely related concepts and requires knowledge from
skos:exactMatch, which was discussed in Section 3.2. experts for refinement.
      </p>
      <p>
        Take skos:broadMatch for example. A manual
analysis of the largest three SCC shows the edges could be 3.5. Discussion
erroneous. These SCCs are: a component with four
entities about plebiscite, referendum, and popular initiative; As shown above, this integration results in new
statistia component with three entities about insurance and pri- cal and graph-theoretical properties. Next, we compare
vate insurance; a component with three distinct entities how these problems exhibit in our graph and the
LODabout the CARICOM countries, Caribbean countries, and a-lot21 [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. LOD-a-lot is a dataset that integrates over
the Caribbean Community. 28 billion triples from 650K files of the LOD Cloud into
      </p>
      <p>
        Let GB be the subgraph of the integrated graph G with a single ready-to-consume file. While our integrated
B = {skos:broader, skos:broaderMatch} and GN for knowledge graph has 1.7 million unique triples,
LOD-aN = {skos:narrower, skos:narrowerMatch}. Next, lot is much larger with 28.3 billion triples. For LOD-a-lot,
we combine the GB with the graph G’N, where G’N is a 356.9K edges out of 11.8 million edges of skos:broader
graph with each edge of G reversed in direction. After are involved in SCCs [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. In contrast, we have no
performing the same analysis, we discover a new strongly SCC with two or more entities among 17,868 edges of
connected component with four entities about adjustable skos:broader. For LOD-a-lot, 1.4K edges out of 4.4
milpeg, fixed exchange rate, exchange rate regime and in- lion edges of rdfs:subClassOf are involved in SCCs
ternationales Währungssystem, respectively. Moreover, [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ]. In contrast, there is no cycle for our
correspondthe resulting graph has 44 connected components of two ing subgraph. This confirms the quality of the knowledge
entities, which are more than that of the subgraphs cor- graphs we used. The identity graph of the LOD-a-lot
responding to each individual relation. This indicates graph regarding owl:sameAs consists of 558.9 million
that such integration can result in more complex errors triples with the largest connected component consisting
which do not exhibit in stand-alone graphs. of 177.8K entities [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. In contrast, our identity graphs
      </p>
      <p>Our analysis shows that rdfs:subClassOf is a pop- of both owl:sameAs and skos:exactMatch are small
ular relation with 47,597 triples. However, there is no and can be manually refined.</p>
      <p>SCC with more than one component, which implies that
the underlying class hierarchy is a directed acyclic graph. 4. Conclusion
In addition, lkif-core:component, fro:divides19,
and its inverse fro:divided_by are also popular tran- In this paper, we presented an integrated knowledge
sitive relations. Finally, none of them has strongly con- graph in the domain of Economics, Finance, and Banking.
nected components of size greater or equal to two. We demonstrated how the integrated graph has more
entities with richer information. We discussed subgraphs of
3.4. Source of Error and Refinement (pseudo-)transitive and identity relations as well as their
When tracing back to the sources of each edge, we found refinement. The overall usefulness has been improved
despite minor errors introduced due to integration.
ftrhoamtstkhorsee:bsroouarcdeesr: aSnTdWs,kJoEsL:,naanrdroFwIBeOr-avrDe. mWohstelny Our integrated knowledge graph can be used to
evaluate data interoperability. Also, it can enrich the features
combined with the subgraph of skos:broadMatch and of entities, which may increase the accuracy of pattern
esnktoitsie:sn, atwrrooSwCMCastocfht,htrheeereenatriteieisn, atontdaltw44o SSCCCCss ooff ftowuor recognition using Machine Learning for the detection of
entities. It is feasible that some domain experts manually takeovers, money laundering, insurance fraud,
counterexamine all these small SCCs without employing any feiting, etc. Furthermore, it can also be used to improve
refinement algorithm. the quality of suspicious activity reports,
recommendation systems, conversational agents, etc.</p>
      <p>19The prefix fro corresponds to the namespace http://finregont.
com/fro/ref/LegalReference.ttl#.
20https://github.com/jrvosse/amalgame
21http://lod-a-lot.lod.labs.vu.nl/</p>
    </sec>
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