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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>ORCID:</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Luis-Daniel Ibáñez 1 and George Konstantinidis 1</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>University of Southampton</institution>
          ,
          <addr-line>Highfield Campus, Southampton</addr-line>
          ,
          <country country="UK">United Kingdom</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>Knowledge Graphs encode valuable information that has been so far restricted to the companies that developed them, or dependent on public subsidies. Data marketplaces have emerged as platforms where data consumers meet providers to find the data they need and willing to pay for, as an answer to the need of enabling data transactions. In this position paper we examine the specifics of selling Knowledge Graphs with respect to general datasets, and how can we sell decentralized Knowledge Graphs in a decentralized way.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>2. Selling Knowledge Graphs</title>
      <p>In this section we present the challenges and problems associated with selling KGs. For each theme
we discuss related work on general datasets, identify key differences for KGs, and formulate research
questions. When applicable, we also discuss how established techniques for KGs could be adapted to
support the sale of a KG.</p>
      <p>
        Data Pricing and Valuation
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] studied the query pricing problem for general databases: assigning a price to a query in such a
way that arbitrage, i.e., the possibility of a buyer to buy sub-queries of the target query and aggregate
them themselves at a lower price than the original query, is minimized. Their theoretical results are in
general negative: to be certain to avoid arbitrage, one needs to overprice many sub-queries which might
be more detrimental for business than allowing arbitrage in the first place. The realization that federated
learning is the most relevant industrial use case has led to a lot of research attention on how to quantify
the contribution of a dataset to the accuracy of a ML model. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] does a comprehensive survey of data
pricing mechanisms. In the Semantic Web community, dealing with non-open data was first discussed
as part of the “Linked Closed Data” vision [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], however, research has been dominated by Linked Open
Data, probably because is easier to validate and experiment with Open Data. The pricing of a Semantic
Web resource re-appears as a “Blue Sky” idea as late as 2018 [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. A marketplace for the Web of Data
is presented in [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], its main assumption is that advertising is useless because the Web of Data is run by
automated agents, proposing auction mechanisms as an alternative.
      </p>
      <p>We posit that query pricing in KGs will follow the same general results than those found in
databases. A potential research direction is to exploit the semantics of the KG to fine-tune the prices of
different subsets to strike an appropriate balance between arbitrage and reasonable prices. Another
interesting difference is to assess if the potential price of a de-reference to another KG. In terms of
collaborative construction of a KG, we believe Shapley-value techniques as used for ML models will
still be relevant, but target metrics will be much more complex than “more accurate”. What are general
target metrics for a KG? If they depend on Semantics, what algorithms to derive them?
2.2.</p>
    </sec>
    <sec id="sec-3">
      <title>Metadata and Summary Generation</title>
      <p>
        The first step of a data owner that wants to sell in a data marketplace is to create a description to
publish, in a very similar way as when wanting to publish to join the Linked Data Cloud. We expect
existing tools for generating metadata [
        <xref ref-type="bibr" rid="ref10 ref11 ref9">9,10,11</xref>
        ] to be applicable. Summary generation techniques both
for human and machine consumption will also be of special utility in this context [
        <xref ref-type="bibr" rid="ref12 ref13 ref14">12,13,14</xref>
        ]. We posit
the main difference will be the context of advertising for sale: on the metadata front, we could generate
metadata to match the requirements of a data buyer, a direction explored for scientific datasets [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]; on
the summary front, a summary may reveal too much information, in combination with approaches for
valuation, how to determine the most useful summary that reveals the least amount of information? Can
we interactively generate increasingly complete paid summaries?
2.3.
      </p>
    </sec>
    <sec id="sec-4">
      <title>Privacy and usage control</title>
      <p>
        Another important aspect when selling KGs is the definition of privacy and usage policies. This is
particularly important for KGs that include personal data. Several works have studied how to define
and evaluate usage policies for queries [
        <xref ref-type="bibr" rid="ref16 ref17">16,17</xref>
        ], and developed vocabularies for expressing and querying
privacy [
        <xref ref-type="bibr" rid="ref18 ref19">18,19</xref>
        ]. We expect the evolution of these vocabularies and evaluation techniques to enable
finer granularity (up to the level of a statement) and incorporate elements of explainability: ‘Why I can’t
use this dataset?’ and negotiation: What needs to change so I can use it? can I convince the owner to
relax the policy in exchange of (money, other data, etc.)?
2.4.
      </p>
    </sec>
    <sec id="sec-5">
      <title>Service descriptions</title>
      <p>Transactions in a data marketplace are not restricted to datasets. The ecosystem is completed with
services (aka Data Apps or Data Processing Operations) that can be used to analyze data, leading to the
problem of given dataset descriptions, find services that could be used to process them according to
certain desired characteristics. The problem relates to that of Web Service Discovery: matching
formally described user requests with service functionality satisfying these requests [20,21]. As with
datasets, the main blocker is the problem of generating the description as automatically as possible.</p>
    </sec>
    <sec id="sec-6">
      <title>3. Decentralizing KG transactions</title>
      <p>
        So far, we have assumed that a transaction occurs in a centralized data marketplace controlled by a
single operator trusted by the transaction participants. However, from an economics point of view we
expect multiple operators develop different marketplaces with different rules and value propositions.
Data owners may choose to advertise their datasets in one or many data marketplaces and data
consumers may need to use datasets. At a data level, we believe this is an iteration of the Linked Closed
Data vision from 2011 [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. They had the same concerns about usage policies (but using the term licence)
and foresaw the need for descriptions of cost of premium subsets of the data. More recently, [25]
explored the use of Web Monetization on top of decentralized Solid applications. We identify two
additional challenges in the modern context that arise when we consider where the dataset will be
processed.
3.1.
      </p>
    </sec>
    <sec id="sec-7">
      <title>Decentralized execution</title>
      <p>The simple assumption is that either the marketplace operator or one of the participants is entrusted
to receive all data and algorithms to execute the agreed data processing workflow. Sadly, there are
several scenarios where this is not desirable, the most evident being a dataset’ usage policies forbidding
its transfer outside the owner’s infrastructure. The most active related area of research is Federated
Learning, where multiple organisations train a Machine Learning Model without leaking data [22]. How
to generalize this to any type of data operation or to a sequence of data operation? The problem is
reminiscent to that of Workflow Management Systems, that has been revisited to support Big Data
processing pipelines [23]. More generally, Trusted Execution Environments [26] have been proposed
to deal with this problem, and have been demonstrated in “privacy-preserving” data marketplaces [27].</p>
      <p>In a marketplace context, questions about payment arise. What protocols to authorise access and
unlock payment based on Service Level Agreement conditions when data and algorithms are
decentralized? Are Blockchains like in IoT marketplaces [24] the most efficient solution? Or are there
more efficient protocols that only require a minimal amount of trust among them?
3.2.</p>
    </sec>
    <sec id="sec-8">
      <title>Governance</title>
      <p>In an ideal (Linked Data) world and in many IoT visions transactions automated agents consume
and follow the published rules and disputes are avoided. When humans and money are involved,
dishonest actors may try to breach usage conditions, or simply not deliver the promise of its
specification. In a centralized scenario, the data marketplace operator may have the mechanisms to
identify and punish dishonest members. But how to achieve the same in a decentralized scenario? If we
assume it is not possible to agree on a centralised arbiter that monitors the behaviour of participants,
what protocols the federated marketplace operators can implement? What is the minimum amount of
information that needs to be exchanged or maintained?</p>
    </sec>
    <sec id="sec-9">
      <title>4. Conclusion</title>
      <p>In this paper, we examined the particularities of selling Knowledge Graphs on the light of the
emergence of data marketplaces. We reviewed related work across two dimensions: (i) selling
Knowledge Graphs (ii) decentralized sale of Knowledge Graphs. Our intent is this description will
inspire researchers to coordinate efforts in this direction</p>
    </sec>
    <sec id="sec-10">
      <title>5. Acknowledgements</title>
      <p>Authors were supported by the European Union’s Horizon Europe research and innovation actions
under Grant Agreement Nº 101093216. More information available at https://upcastproject.eu/</p>
    </sec>
    <sec id="sec-11">
      <title>6. References</title>
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