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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Generating Linked Data by Inferring the Semantics of Tables</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Varish Mulwad, Tim Finin and Anupam Joshi Computer Science and Electrical Engineering University of Maryland</institution>
          ,
          <addr-line>Baltimore County Baltimore, Maryland 21250</addr-line>
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Vast amounts of information is encoded in structured tables found in documents, on the Web, and in spreadsheets or databases. Integrating or searching over this information bene ts from understanding its intended meaning. Evidence for a table's meaning can be found in its column headers, cell values, implicit relations between columns, caption and surrounding text but also requires general and domain-speci c background knowledge. We represent a table's meaning by mapping columns to classes in an appropriate ontology, linking cell values to literal constants, implied measurements, or entities in the linked data cloud (existing or new) and discovering or and identifying relations between columns. We describe techniques grounded in graphical models and probabilistic reasoning to infer meaning (semantics) associated with a table. Using background knowledge from the Linked Open Data cloud, we jointly infer the semantics of column headers, table cell values (e.g.,strings and numbers) and relations between columns and represent the inferred meaning as graph of RDF triples. We motivate the value of this approach using tables from the medical domain, discussing some of the challenges presented by these tables and describing techniques to tackle them.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Semantic Web</kwd>
        <kwd>linked data</kwd>
        <kwd>human language technology</kwd>
        <kwd>entity linking</kwd>
        <kwd>information retrieval</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>This research was supported in part by NSF awards 0326460 and
0910838,MURI award FA9550-08-1-0265 from AFOSR, and a gift from
Microsoft Research.</p>
      <p>Permission to make digital or hard copies of all or part of this work for
personal or classroom use is granted without fee provided that copies are
not made or distributed for profit or commercial advantage and that copies
bear this notice and the full citation on the first page. To copy otherwise, to
republish, to post on servers or to redistribute to lists, requires prior specific
permission and/or a fee. This article was presented at the workshop Very
Large Data Search (VLDS) 2011.</p>
      <p>
        Copyright 2011
uments. Cafarella et al. [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] estimated that the Web contains
over 150 million high quality relational tables. In some ways,
this information is easier to understand because of its
structure but in other ways it is more di cult because it lacks
the normal organization and context of narrative text. Both
integrating or searching over this information will bene t
from a better understanding of its intended meaning.
A wide variety of domains that are interesting both
technically and from a business perspective have tabular data.
These include medicine, healthcare, nance, e-science (e.g.,
biotechnology), and public policy. Key information in the
literature of these domains, which can be very useful for
informing public policy, is often encoded in tables. As a part
of Open Data and transparency initiative, fourteen nations
including the United States of America share data and
information on websites like www.data.gov in structured format
like CSV, XML. As of May 2011, there are nearly 390,000
raw datasets available. This represents a large source of
knowledge, yet we do not have systems that can understand
and exploit this knowledge.
      </p>
      <p>
        Many real world problems and applications can bene t from
exploiting information stored in tables including evidence
based medical research [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. Its goal is to judge the e cacy
of drug dosages and treatments by performing meta-analyses
(i.e systematic reviews) over published literature and
clinical trials. The process involves nding appropriate studies,
extracting useful data from them and performing statistical
analysis over the data to produce a evidence report. Key
information required to produce evidence reports include data
such as patient demographics, drug dosage information,
different types of drugs used, brands of the drugs used, number
of patients cured with a particular dosage etc. Most of this
information is encoded in tables, which are currently beyond
the scope of regular text processing systems and search
engines. This makes the process manual and cumbersome for
medical researchers.
      </p>
      <p>
        Presently medical researchers perform keyword based search
on systems such as PubMed's MEDLINE which end up
producing many irrelevant studies, requiring researchers to
manually evaluate all of the studies to select the relevant ones.
Figure 1 obtained from [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] clearly shows the huge di erence
in number of meta-analysis and number of clinical trials
published every year. By adding semantics to such tables, we
can develop systems that can easily correlate, integrate and
search over di erent tables from di erent studies to be
combined for a single meta-analysis.
      </p>
      <p>
        In this paper, we present techniques to infer the intended
meaning of tables by jointly inferring the semantics of
column headers, table cell values (e.g., strings and numbers),
relations between columns, augmented with background
knowledge from open data sources such as the Linked Open
Data cloud [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Our framework maps columns to classes
from an appropriate ontology, links cell values to literal
constants or entities in the linked data cloud (existing or new)
and discovers or and identi es relations between columns.
The interpreted meaning is represented as machine
understandable linked RDF assertions.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. RELATED WORK</title>
      <p>
        Early work in table understanding focused on extracting
tables from documents and web pages [
        <xref ref-type="bibr" rid="ref6 ref7">7, 6</xref>
        ]. While progress
has been made in identifying the structure of the table,
relatively little work has been focused on understanding the
semantics and meaning associated with tables. Recently,
three groups have focused on understanding the meaning
associated with tables.
      </p>
      <p>
        Wang et al. [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] use an approach that begins by identifying
a single `entity column' in a table and, based on its values
and rest of the column headers, associate a concept with the
table. Their work focuses only on identifying the concept to
be associated with the table (i.e., with the \entity column").
The concepts come from the Probase [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] knowledge base
created from the text on the World Wide Web. Such
concepts may not be semantically rich as compared to concepts
from DBpedia or the Linked Open Data cloud. Their work
does not attempt to link the table cell values or identify
relations between columns.
      </p>
      <p>
        Ventis et al. [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] use framework associating multiple class
labels (or concepts) with columns in a table. They identify
relations between the `subject' column and the rest of the
columns in the table. Both the concept identi cation for
columns and relation identi cation is based on maximum
likelihood hypothesis, i.e., the best class label (or relation)
is one that maximizes the probability of the values given
the class label (or relation) for the column. They also rely
on a isA database they create from the text on the Web
which may not be semantically rich. Their work also does
not attempt to link the table cell values.
      </p>
      <p>
        Limaye et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] describe a system based on a graphical
model which maps every column header to a class from
a known ontology, links table cell values to entities from
a knowledge-base and identi es relations between columns.
They rely on Yago [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] for background knowledge.
Current systems for interpreting tables rely on semantically
poor and possibly noisy knowledge-bases. Neither do they
focus on a \complete interpretation" of a table. None of
the current systems propose or generate any form of linked
data from the inferred meaning. A key missing component
in current systems is tackling literal constants. The work
mentioned above will work well with string based tables. To
the best of our knowledge, no work has tackled the problem
on interpreting literals in tables and using them as evidence
in the table interpretation framework. To interpret tables
from specialized domains such as medical research will
require incorporating modules that can understand literals.
Several systems have been implemented to generate
Semantic Web data from databases and spreadsheets. Virtually
all are manual or semi-automated and none has focused on
automatically generating linked RDF data. None of the
systems or methods proposed above focus on a truly complete
automated interpretation of a table. Current systems on
the Semantic Web either require users to specify the
mapping to translate relational data to RDF or systems that
do it automatically focus only a part of the table (like
column header strings). These systems have mainly focused on
relational databases or simple spreadsheets. The key
shortcoming in such systems is that they rely heavily on users
and their knowledge of the Semantic Web. Most systems on
the Semantic Web also do not automatically link classes and
entities generated from their mapping to existing resources
on the Semantic Web. The output of such systems turns out
to be just \raw string data" represented as RDF, instead of
generating high quality linked RDF.
      </p>
      <p>The framework we present is complete automated
interpretation of a table that focuses on all aspects of a table -
column headers, row values, relations between columns. Our
framework will not only tackle strings but also handle
literals and work across multiple domains - web tables, medical
and open government data.</p>
    </sec>
    <sec id="sec-3">
      <title>3. INTERPRETING A TABLE</title>
      <p>One might be tempted to think that regular text processing
might work with tables as well. After all tables also store
text. However that is not the case. It is said that tables store
information in a \structured form". It is this very structure
used to represent the data, that hinders systems from
understanding the intended meaning of a table. To di erentiate
between text processing and table processing consider the
the text \Barack Hussein Obama II (born August 4, 1961)
is the 44th and current President of the United States. He
is the rst African American to hold the o ce." The
overall meaning can be understood from the meaning of words
in the sentence. The meaning of each word can be can be
recovered from the word itself or by using context of the
surrounding words.
Now consider the table in Figure 2 which has data on the
eradication rates for di erent treatment regimens for a
disease, in this case H-pylori. The abbreviations in the row
header of the table represent the di erent treatment
regimens and the abbreviations in the column headers
represent the di erent types of analyses used in the clinical trial.
The data values in the table indicate the number of patients
cured for a particular regimen and under a particular
analysis. There is often additional information encoded in the
table which is not directly evident, for example in this table
the drugs used in the treatment are some combination of a
Proton pump inhibitor drug and antibiotics.</p>
      <p>It is clear from this example that true meaning associated
with a table is often encoded in its structure, column (and
row) headers of the table, the relations implicit between the
various columns and the values (string or literal) in the table.
Evidence to what a table means may also come from the
caption associated with it as well as the free text surrounding
the table.</p>
      <p>How does one interpret what the column (or row) headers,
data values intend to convey? Expanding the abbreviations
in the row headers will produce strings that map to existing
entities from a knowledge base. For example OA will map
to dbpedia:Omeprazole and dbpedia:Amoxicillin. A
combination of drugs in the given string indicates that the string
is a type of dosage or treatment regimens. Once all the
row headers are disambiguated, using information from the
Linked Open Data cloud, we can infer additional
information encoded in the table that all the drugs are combination
of a Proton pump inhibitor and antibiotics.</p>
      <p>The numbers in the rst column of the table in Figure 2
and the way they are represented indicate that it is some
form of a count/total. Using this evidence along with the
City
Baltimore
Philadelphia
New York</p>
      <p>Boston</p>
      <p>Mayor
S.C.Rawlings-Blake</p>
      <p>M.Nutter
M.Bloomberg</p>
      <p>T.Menino
\City"@en is rdfs:label of dbpedia-owl:City.
\State"@en is rdfs:label of dbpedia-owl:AdminstrativeRegion.
\Baltimore"@en is rdfs:label of dbpedia:Baltimore.
dbpedia:Baltimore a dbpedia-owl:City.
\MD"@en is rdfs:label of dbpedia:Maryland.</p>
      <p>
        dbpedia:Maryland a dbpedia-owl:AdministrativeRegion.
evidence provided by the row headers and the expanded form
of the abbreviation ITT, it can be inferred that the column
header maps to dbpedia:Intention to treat analysis which is
a type of yago:ClinicalTrials. Once it is known that the
row headers represent dosages and column one represents a
type of analysis in a clinical trials, it can be inferred that
the data values in column one represent eradication rate for
some disease for a given dosage. That some disease in our
example would be known from the caption of the table.
Consider the table shown in Figure 3. The column
headers suggest the type of information in the columns: city
and state might match classes in a target ontology such
as DBpedia [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]; mayor and population could match
properties in the same or related ontologies. Examining the
data values, which are initially just strings, provides
additional information that can con rm some possibilities and
disambiguate between possibilities for others. For
example, the strings in column one can be recognized as
entity mentions that are instances of the dbpedia-owl:Place
class. Additional analysis can automatically generate a
narrower description such as major cities located in the United
States(yago:IndependentCitiesInTheUnitedStates ).
Consider the strings in column three. The string by
themselves suggest that they are politicians. The column header
provides additional evidence and better interpretation that
the strings in column three are actually mayors.
Discovering relations between columns is important as well. By
identifying relation between column one and column three,
we can infer that the strings in column three are mayors
of cities presented in column one. Linking the table cell
values to known entities enriches the table further.
Linking S.C.Rawlings-Blake to dbpedia:Stephanie C.
RawlingsBlake, T.Menino to dbpedia:Thomas Menino , M.Nutter to
dbpedia:Michael Nutter we can automatically infer additional
information that all three belong to the Democratic party,
since the information will be associated with the linked
entities.
      </p>
      <p>Column four in this table presents literal values. The
numbers in the column are values of the property
dbpedia-owl:populationTotal and this property can be associated with the
cities in column one. All the values in the column are in
the range of 100,000. They provide evidence that the
column may be representing the property population. Once
relation between column one and column four is discovered,
we can also look up on DBpedia, where the linked cities in
column one will further con rm that the numbers represent
population of the respective cities.</p>
      <p>Producing an overall interpretation of a table is a complex
task that requires developing an overall understanding of
the intended meaning of the table as well as attention to
the details of choosing the right URIs to represent both the
schema as well as instances. We break down the process
into following tasks: a) assign every column (or row header)
a class label from an appropriate ontology b) link table cell
values to appropriate LD entities, if possible c) discover
relationships between the table columns and link them to linked
data properties d) generate a linked data representation of
the inferred data.</p>
    </sec>
    <sec id="sec-4">
      <title>4. APPROACH</title>
      <p>In the following sections, we rst present a baseline system
that we developed to evaluate the feasibility in tackling the
table interpretation problem. Later we present techniques
for building a framework which overcomes the shortcomings
in the baseline system and a framework grounded in the
principles of graphical models and probabilistic reasoning.
Finally we discuss challenges posed by tables in medical
literature and present some techniques for dealing with them.</p>
    </sec>
    <sec id="sec-5">
      <title>4.1 The Baseline System</title>
      <p>
        The baseline system is a sequential, multi-step framework
that rst maps every column header to a class from an
appropriate ontology. Using the predicted class as additional
evidence, it then links table cell values to entities from the
Linked Data Cloud. The nal step in the framework is
discovering relations between table columns and generating a
linked data representation of the table's meaning.
Mapping column header to class. In a typical well
formed table, each column contains data of a single
syntactic type (e.g., strings) that represent entities or values of
a common semantic type (e.g., people, places, yearly salary
in USD). The column's header, if present, may name or
describe the semantic type or perhaps a relation in which the
column values participate. The algorithm determines the
class for a table column based on the class of the individual
strings in the column. For all the cell values in every
column of the table, the algorithm submits a complex query to
the Wikitology [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] knowledge base to determine the type
of each cell value in the column. For every query, the KB
returns a set of entities; each entity has a set of classes
associated with it. Combining the classes of all the entities,
produces a set of candidate classes for a column. Each class
label from the set of candidate class labels is scored. The
class label with the highest score is chosen as the class label
to be associated with the column. We predict class labels
from four vocabularies: DBpedia Ontology, Freebase,
WordNet, and Yago.
      </p>
      <p>Linking table cells to entities. Using the predicted class
labels as additional evidence, for every table cell, the
algorithm for linking table cell to entities, re-queries our KB. For
every table cell, the KB returns the top N possible entities.
For each of the top N entities, the algorithm generates a
feature vector consisting of the entity's KB score, entity's
Wikipedia page length, entity's page rank, the Levenshtein
distance between the entity and the string in the query and
the Dice score between the entity and the string. The set of
feature vectors for each table cell are ranked using a
SVMRank classi er. To the highest rank feature vector from
SVM rank, two more features are added - the SVM rank
score of the feature vector and the di erence in SVM-Rank
scores between the top two feature vectors. A second SVM
classi er decides whether to link the table cell to this top
ranked entity or not. If the evidence is not strong enough,
it is likely that the table cell is a new entity not present in
the KB; this step is useful in discovery of new entities in a
given table. If the evidence is strong enough, the table cell
is linked to the top ranked entity returned by SVM-Rank.
Discovering relation between columns. Once the table
cells are linked, the framework identi es relations between
table columns. For every pair of column, the algorithm
generates a set of candidate relations from the relations that
exist between the strings in each row of the two columns by
querying DBpedia. The relation that gets majority vote is
chosen as the relation between the columns.</p>
      <p>
        Linked data representation. We have developed a
template for annotating and representing tables as linked RDF.
We choose the N3 serialization because it is compact and
readable. The second part of Figure 3 shows an example
of a N3 representation of a table. To associate the column
header with its predicted class label, the rdfs:label property
from RDF Schema [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] is used. The rdfs:label property is also
used to associate the table cell string with its associated
entity from DBpedia. To associate the table string with its
type (i.e. class label of the column header), the rdf:type
property is used.
      </p>
      <p>Evaluation of the baseline system. The baseline
system was evaluated against 15 tables obtained from Google
Squared, Wikipedia and from a collection of tables extracted
from the Web. Excluding the columns with numbers, the 15
tables have 52 columns and 611 entities for evaluation of our
algorithms. We used a subset of 23 columns for evaluation
of relation identi cation between columns.</p>
      <p>In the rst evaluation of the algorithm for assigning class
labels to columns, we compared the ranked list of possible
class labels generated by the system against the list of
possible class labels ranked by the evaluators. For 80.76 % of
the columns the average precision between the system and
evaluators list was greater than 0 which indicates that there
was at least one relevant label in the top three of the
system ranked list. The mean average precision for 52 columns
was 0.411.For 75 % of the columns, the recall of the
algorithm was greater than or equal to 0.6. We also assessed
whether our predicted class labels were reasonable based on
the judgement of human subjects. 76.92 % of the class labels
predicted were considered correct by the evaluators. The
accuracy in each of the four categories is shown in Figure 4.
66.12 % of the table cell strings were correctly linked by our
algorithm for linking table cells. The breakdown of accuracy
based on the categories is shown in Figure 4. Our dataset
had 24 new entities and our algorithm was able to correctly
predict for all the 24 entities as new entities not present in
the KB. We did not get encouraging results for relationship
identi cation with an accuracy of 25 %.</p>
    </sec>
    <sec id="sec-6">
      <title>4.2 Joint Inference over a table</title>
      <p>The baseline system makes local decision at each step of the
framework. The disadvantage of such a system is that error
percolates from the previous phase to the next phase which
can lead to an overall poor interpretation of a table. To
overcome this problem, we are developing a framework that
performs joint inference over the evidence available in the
table and jointly assign values to the column headers, table
cell values and relations between columns.</p>
      <p>
        Probabilistic graphical models [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] provide convenient
framework for expressing a joint probability over a set of
variables in a system and perform inferencing over them.
Constructing a graphical model involves the following steps:
a)Identifying variables in the system b)Identifying
interactions between variables and representing it as a graph
c)Parametrizing the graphical structure d) Selecting an
appropriate algorithm for inferencing. In this paper, we present the
rst three steps in constructing a graphical model for
interpreting tables.
      </p>
      <p>Variables in the system. The column headers, the
table cell values and the relations between columns in the
table represent the set of variables in the table interpretation
framework.</p>
      <p>Graphical Representation. We choose a Markov network
based graphical representation,since the interaction between
the column headers, table cell values and relation between
table columns are symmetrical. The interaction between a
column header and cell values in the column is captured by
inserting an edge between the column header and each of
the values in the column in the graph. To correctly
disambiguate what a table cell value is, evidence from the rest of
the values in the same row can be used. This is captured by
inserting edges between every pair of cell values in a given
row. Similar interaction exists between the column headers
and is captured by the edges between every pair of table
column headers.</p>
      <p>A parametrized Markov network.
To represent the distribution associated with the graph
structure, we need to parametrize the structure. One way to
parametrize a Markov network is representing the graph as
a factor graph. A factor graph is an undirected graph
containing two types of nodes : variable nodes and factor nodes.
The graph has edges only between the factor nodes and
variable nodes. A factor node captures and computes the a nity
between the variables interacting at that factor node.
Variable nodes can also have associated \node potentials". Our
parametrized graph (Figure 5) consists of two node
potentials (associated with each of the column headers and table
cell values) and three factor nodes.</p>
      <p>The node potential for column header variable computes
the a nity between the string in the column header and
the class its being mapped to. The node potential for table
cell value computes the a nity between the string in the
table cell and the entity its being linked to. The function
of the three factor node is as follows: the rst factor node
computes a nity between the class being assigned to the
column header and the entities linked to the cell values in
the column; the second factor node computes the a nity
between the classes that have been assigned to all the column
headers; and the third factor node computes the a nity
between the entities linked to the cell values in a given row.
We are presently working on de ning the functions in the
factor node that will compute the a nity between the values
assigned to the various variables in the system.</p>
    </sec>
    <sec id="sec-7">
      <title>4.3 Challenges</title>
      <p>Results of our baseline system demonstrated feasibility in
interpreting tables as proposed above. In the following
section we present techniques for dealing with challenges posed
by tables in the medical literature and how such tables can
be adapted to be processed using our existing techniques.
Abbreviations. Tables from the medical literature tend to
use abbreviations a lot, primarily to represent dosages, type
of analyses used in the clinical trials, types of tests conducted
and so on. Like in table 2, the meaning of the abbreviations
are often encoded in the table caption. A pre-processing
step would involve processing the table caption to generate
abbreviations and their expansions and then replacing the
abbreviations in the table.</p>
      <p>Literals. Literals pose a unique challenge, especially for
tables from medical literature. We demonstrated how strings
in a column can be used as evidence in a table
interpretation framework. But what about literals like numerical data
values in a table? To begin with, the range of numbers in a
given column can start providing evidence about what the
column is. For example if the numbers are in the range of
100s' then the column could be percentages or ages. The row
(or column) header may have additional clues. For example,
in the case of percentages, the % sign maybe associated with
the numbers in the table cell or it may be present in the row
(or column) header in the table.</p>
      <p>This brings us to next thing that needs to be extracted from
such tables - units associated with numbers. The units
associated with numerical data is either encoded in the row
(or column) header of the table or caption of the table. An
important step will be identifying the individual units to be
associated with numerical data in the table.</p>
      <p>Finally numerical data is often represented in pairs. Formats
like number/count, number(%), % (number), number,unit
are some examples of how numerical data is encountered in
tables in medical literature. The meaning of this format is
present again in the table caption or in the table header.
Table Interpretation. A useful interpretation of tables
used in meta-analysis would be identifying and linking the
drugs used in the treatment, identifying the type of analyses
performed, success rate, identifying and linking to the
disease(s) under consideration, adverse events in the treatments
if any and generating a linked data representation of it. Once
the \pre-processing steps" mentioned above, some of our
existing techniques can be adapted to link the row and column
headers to either classes or entities from a knowledgebase
and then generating the requisite linked data interpretation
of the table.</p>
    </sec>
    <sec id="sec-8">
      <title>5. CONCLUSION</title>
      <p>Generating an explicit representation of the meaning
implicit in tabular data will support automatic integration and
more accurate search. Clues for a table's intended meaning
are present in column and row headers, cell values, implicit
relations between columns, and any descriptive text. We
described general techniques grounded in graphical models and
probabilistic reasoning to infer a table's meaning relative to
a knowledge base of general and domain-speci c knowledge
expressed in the Semantic Web language OWL. We
represent a table's meaning as a graph of OWL triples where the
columns have been mapped to classes, cell values to
literals, measurements, or knowledge-base entities and relations
to triples. One practical usecase we are studying is
representing the meaning of tables found in papers from medical
journals. We discussed some of the challenges presented by
these tables and described techniques to tackle them.</p>
    </sec>
    <sec id="sec-9">
      <title>REFERENCES</title>
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