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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Image Schema Decompositions of the Conceptual Dependency INGEST Primitive: A Study of Paraphrases</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Jamie C. Macbeth</string-name>
          <email>jmacbeth@smith.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexis Kilayko</string-name>
          <email>akilayko@smith.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zoie Zhao</string-name>
          <email>zzhao39@smith.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sophie Song</string-name>
          <email>ssong25@smith.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Winnie X. Zheng</string-name>
          <email>winniez@mit.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science, Smith College</institution>
          ,
          <addr-line>10 Elm St, Northampton, Massachusetts, 01063</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Electrical Engineering and Computer Science</institution>
          ,
          <addr-line>MIT, 77 Massachusetts Ave, Cambridge, MA, 02139</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>One of the hallmarks of the Schank-Minsky Conceptual Dependency Trans-Frames meaning representation system is that it attempts to express complex meanings by building large and complex conceptual structures using a relatively small number of primitives. Recently comparisons of image schemas with Conceptual Dependency primitives revealed ways of possibly reducing the number of primitives while maintaining the expressiveness of the set-an important research goal because it increases the flexibility and richness of the primitive-decomposed structures in a way that better approximates human cognition. Inspired by this prior work, we employ a paraphrase generation system to explore the replacement of the Conceptual Dependency INGEST primitive by PTRANS and CONTAIN, which are the analogs of Source_Path_Goal and Containment image schemas. The results of the study bring us a step closer to a possible unification of image schemas with Conceptual Dependency.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Image Schemas</kwd>
        <kwd>Conceptual Dependency</kwd>
        <kwd>Natural Language Generation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        One of the hallmarks of the Schank-Minsky Conceptual Dependency Trans-Frames meaning
representation system is that it attempts to express complex meanings by building large and
complex conceptual structures using a relatively small number of primitives [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Recently
comparisons of image schemas (IS) with Conceptual Dependency (CD) primitives [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] revealed
ways of possibly reducing the number of primitives while maintaining the expressiveness
of the set—an important research goal because it increases the flexibility and richness of the
primitive-decomposed structures in a way that better approximates human cognition. Inspired
by this prior work, we employ a paraphrase generation system to explore the replacement of the
Conceptual Dependency INGEST primitive by PTRANS and CONTAIN, which are the analogs of
Source_Path_Goal and Containment image schemas. The results of the study bring us a step
closer to a possible unification of image schemas with Conceptual Dependency, grounding CD
in cognitive linguistics and experimental psychology, and providing working cognitive artificial
intelligence systems as a tool in the study of image schemas.
      </p>
      <p>We first provide background on Conceptual Dependency and the Babel system that forms
the basis of our paraphrase studies. This is followed by presentations of novel CD structures
and paraphrases, a discussion of the results, related work, and a conclusion with ideas for the
future.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Background and Motivation</title>
      <p>
        Prior work has shown the deep connections between image schemas [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ] and Schank-Minsky
Conceptual Dependency Trans-Frames [
        <xref ref-type="bibr" rid="ref1 ref5 ref6 ref7">5, 6, 1, 7</xref>
        ], which are theoretical structures from the
symbolic artificial intelligence community which evolved through the development of AI systems
for in-depth understanding of narratives presented in natural language. Work by Macbeth,
Gromann and Hedblom [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] compares image schemas and Conceptual Dependency, and seeks
out mappings between the schemas and primitives of the two systems. The purpose of the
study herein is to explore whether, based on juxtapositions with image schemas, the INGEST
conceptual primitive could be removed from the set of CD primitives, making the set more
compact and increasing the richness of the mappings between the primitive decomposition
structures.
      </p>
      <sec id="sec-2-1">
        <title>2.1. Conceptual Dependency</title>
        <p>
          Conceptual Dependency is a method of representing meaning that aims to reveal the conceptual
structures that form the core of natural language sentences [
          <xref ref-type="bibr" rid="ref5 ref6">5, 6</xref>
          ]. It focuses on primitive actions
(ACTs). It is composed of concepts and the relationships between them. The CD framework
decomposes complicated language into a set of fundamental primitive elements. Optimally,
primitive ACTs should have universal applicability regardless of language. In a Conceptual
Dependency structure, a conceptualization contains an actor, an action, and a specific set of
conceptual cases. Alternatively, it can also contain an object and a description of a state that it
is in, or a state change that it has undergone.
        </p>
        <sec id="sec-2-1-1">
          <title>2.1.1. Primitive ACTs</title>
          <p>Conceptual Dependency uses 11 primitive ACTs for meaning representation. There are five
primitive ACTs for physical actions. One is PROPEL, which is to “apply a force to”. This ACT
needs a physical object that the force applies to and a direction of the force being exerted. The
second one is MOVE, which is to “move a body part”. This ACT is for moving body parts only,
and it requires a directive conceptual case to point the path of the body part that is moving. The
third one is INGEST, which is to “take something to the inside of an animate object”. This ACT
is paired with a fixed directive case that is from the old position of the object to the opening of
the body. The fourth one is EXPEL, which is to “take something from inside an animate object
and force it out”. This ACT has a direction that is the reverse of the previous one, as it is from
the opening of the body to the new location of the object. The final one is GRASP, which is to
“physically grasp an object”.</p>
          <p>Besides these, there are two more primitive ACTs that are aligned with the human tendency
of focusing on the result of actions. One is called PTRANS, and it is to “change the location of
something”. Another is called ATRANS, and it is to “change some abstract relationship with
respect to an object”. There are also two primitive ACTs that are heavily instrumental: SPEAK
and ATTEND. SPEAK is to “produce a sound” and ATTEND is to “direct a sense organ or focus
organ towards a particular stimulus”. Both of them are used as the instruments of other ACTs.
Finally, there are two mental primitive ACTs. One is called MTRANS, which is to “transfer
information”. Another is called MBUILD, which is to “create or combine thoughts”.</p>
        </sec>
        <sec id="sec-2-1-2">
          <title>2.1.2. Conceptual Cases and States</title>
          <p>As stated before, there are conceptual cases added to actions in Conceptual Dependency.
Specifically, the conceptual cases of one action are a set of additional modifications of the action. One
is OBJECTIVE, which describes the object that is acted upon. Another is DIRECTIVE, which
describes the direction or location that the action is directed. RECIPIENT is the receiver of
the object, also the result of the action. Lastly, the INSTRUMENTAL case is the means or tools
to achieve the action. In Conceptual Dependency, we also have ways to show the “states”
of objects. One state is called CONTAIN, which simply describes containment relationships
between objects.</p>
        </sec>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Juxtaposition of CD INGEST with Image Schemas</title>
        <p>The definition of the INGEST primitive in CD is the action of an object or substance entering an
animate object. Considering the close relationship between CD and motion, the act of going into
an object (or region) can also be a Source_Path_Goal of crossing the boundary and entering a
Container, given the image schema Containment incorporating the idea of inside, an outside,
and a border that separates the two. In addition, INGEST indicates that Force is applied to the
motion of an Object, whether it is active or passive. Therefore, CD INGEST can be the mapping
of three image schemas: Containment, Force, and Source_Path_Goal. Inspired by this
mapping with image schemas, the study in this paper focuses on CD structures and the possibility
of replacing INGEST ACTs with combinations of the CD PTRANS ACT primitive, corresponding
to the Source_Path_Goal image schema, and the CD CONTAIN primitive, corresponding to
the Containment image schema (for this paper, we will leave out the connection to Force).</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. The Babel Natural Language Generator</title>
      <p>
        For our study of replacing CD INGEST with PTRANS and CONTAIN, we use an automated
paraphrase generation system, Babel [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Babel is a component of a natural language generation
model based on Conceptual Dependency called Margie [Margie, 9]. Babel’s role within the
system is generative: it receives as input a conceptualization, a language-free meaning structure,
and generates a natural language sentence that expresses the conceptualization. Babel’s process
can be broken down into three major subtasks. The first is to select the individual words that
→ INGEST ←
      </p>
      <p>Amy breathed.</p>
      <p>Amy took a breath.</p>
      <p>Amy inhaled air.
best convey the meaning of the conceptualization. The second is to connect the word selection
together with English syntax relations. The final step is to then linearize the words and relations
into an English sentence.</p>
      <p>Word selection in Babel is guided by the use of discrimination nets, or binary tree data
structures that analyze a conceptualization for information units that inform the CD structure’s verb
sense. When a discrimination net is applied to the conceptualization, it checks if the conceptual
structure contains field specifications which match the predicate given by a nonterminal node.
If the conceptualization satisfies the set of defining characteristics associated with a particular
verb sense, the respective verb is selected. A terminal node in the net indexes the system’s
conceptual lexicon for the appropriate entry, which provides the word sense as well as syntactic
information that then guides Babel’s production of a syntax network.</p>
      <p>A syntax network determines how the word selection is connected together. It is a set of
nodes representing syntax relations and their values within the given conceptualization, where
diferent relations afect diferent potential word orders. As with the word selection process,
syntax net production centers on the verb; once a verb is chosen, the remainder of the syntactic
framework becomes known. A completed syntax net is then passed to the grammar control
algorithm, which applies an augmented finite state transition network (AFSTN) to the net and
creates the output English sentence.</p>
      <p>The depth and breadth of Babel’s data structures are evidence of the system’s sophistication
despite its age. The discrimination networks are one such data structure. The INGEST tree has
a total of 15 nodes, among which there are 7 predicates, contained in nonterminal nodes, and 8
word senses, contained in terminal nodes. On the other hand, the PTRANS discrimination net
tree, in which some nodes contain multiple predicates or word senses, has 40 predicates and 20
word senses among its total of 43 nodes. Babel’s AFSTN English grammar has 104 nodes.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Novel Decompositions and Paraphrases</title>
      <p>
        For our study we chose a CD conceptualization with an INGEST ACT for someone INGESTing
air or taking a breath which has been used in prior studies [
        <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
        ]. We ran Babel in its AND-OR
paraphrasing mode, which generates every possible English realization of a CD structure that it is
capable of. With significant modifications and additions to the original Babel conceptual lexicon
and AFSTN grammar, we generated sets of paraphrase sentences to evaluate the replacement of
INGEST.
      </p>
      <p>AIR

AMY ←
→ PTRA↓NS ←</p>
      <p>→ INSIDE(AMY)
← OUTSIDE(AMY)</p>
      <p>Air entered Amy’s inside.</p>
      <p>Air entered Amy.</p>
      <p>Amy moved air to her inside.</p>
      <p>Air came to Amy’s inside.</p>
      <sec id="sec-4-1">
        <title>4.1. An Example of INGEST</title>
        <p>Figure 1 is an example of a typical “original” INGEST CD conceptualization structure, an INGEST
with a single object case to represent the act of breathing. The discrimination net tree structures
and word senses in Babel for INGEST assume that its conceptual primitive sense has embedded
within it that an object is entering the body of the animate actor. The figure also shows the
paraphrases that are generated by the unmodified Babel code when given this structure.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. INGEST as PTRANS with Direction Case</title>
        <p>In our first attempt at decomposing INGEST and representing INGEST ACTs using PTRANS, we
created a PTRANS ACT in which the direction case is used to indicate a change in containment
relationship. Because INGEST represents an object entering or being taken into the body of
the actor, the actor is treated as a container. To represent containment, we added an INSIDE
predicate. We used INSIDE and OUTSIDE as destinations in the “to” and “from” conceptual case
of a PTRANS ACT to indicate that the PTRANS of an object results in a change of containment
relationship. Although it is not shown in the figure, in the corresponding Babel code, the
INSIDE and OUTSIDE destinations also include PART designations to indicate the containing
object (e.g. TO (*INSIDE* PART(AMY1))) which facilitated the generation of phrases such
as “Amy’s inside”. Figure 2 shows an example of this, expressing the same concept as in the
previous figure, with the “from” case for the PTRANS being the outside of the actor Amy’s body,
and the “to” case being Amy’s inside.</p>
        <p>We modified Babel’s conceptual and linguistic knowledge structures to enable it to generate
surface realizations of a conceptual structure based on this novel CD/IS representation. The
use of INSIDE and OUTSIDE as “inalienable” PARTs of an animate object or of any object did
not exist in the original Babel’s structures, and introducing them into the CD representations
required the introduction of new predicates to the list of existing predicates that are used in
discrimination nets to interrogate the CD structure and determine appropriate word senses.
This also required additions to the discrimination net for PTRANS to introduce new word senses.
AIR ←
r
↑
→ PTRANS ← 
→ CONTAIN(AMY)
← ¬CONTAIN(AMY)</p>
        <p>Amy contained air by moving it to her inside.</p>
        <p>Air became contained because it came to</p>
        <p>Amy’s inside.</p>
        <p>Entering Amy’s inside caused air to</p>
        <p>become contained.</p>
        <p>The containment of air is resulting from</p>
        <p>air entering Amy.</p>
        <p>Coming to Amy’s inside made air
become contained.</p>
        <p>For example, the word senses of “enter” and “move” that appear in the paraphrases shown in
the figure were not in the original lexicon. Figure 2 also shows the paraphrases generated by
Babel with this conceptual structure.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. INGEST as PTRANS with State Change</title>
        <p>In our second attempt at decomposing and representing INGEST ACTs using PTRANS, we created
a PTRANS primitive ACT which is linked to a second “state change” primitive ACT representing
the creation of a containment relationship between two objects. The two ACTs are linked using
a “result” causation link, which is used to indicate that the physical movement of the object
resulted in the object being contained in another object. Here the PTRANS of air caused the air
to be contained in Amy’s body. Figure 3 shows an example of this, expressing the same concept
as in the previous figures with a PTRANS act of air moving causing a state change consisting of
a new containment relationship of the air within Amy’s body.</p>
        <p>
          We further modified Babel’s conceptual and linguistic knowledge structures to enable it
to generate surface realizations of the conceptual structure in the figure. Although the early
literature on Conceptual Dependency (e.g. [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]) does mention a CONTAIN predicate, it did not
exist in the original Babel structures, so we added new predicates to the list of existing predicates
for the discrimination nets. This also required additions to the discrimination net for state
change events to introduce new word senses for containment, for example, the verb and noun
word senses of “contain” that appear in the paraphrases that were not in the original Babel
lexicon. Figure 3 also shows the paraphrases generated by Babel with this conceptual structure.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Discussion</title>
      <p>The paraphrases are meant to explore whether the decomposition of the concept in the
representation is a match or is similar to the non-linguistic imagery representations and schemas
that humans create. Examining the paraphrases shown in Figures 2 and 3 we find that, although
these realizations are not the typical English expressions that fluent speakers would use, they
generally convey the “Amy breathed” concept of the structures.</p>
      <p>The representation of the change of a containment relationship as a separate state change ACT
comes with a number of consequences. One issue is that a structure which decouples INGEST
into two separate acts connected causally enables a larger number of paraphrases through the
many syntactic combinations that it makes available. Babel takes advantage of the linguistic
constructions conveying causality (e.g. “... caused ...”, “... because ...”, “... made ...”) combining
every expression it can generate for each of the separate ACTs that are causally connected.
Consequently, the sentences generated from this structure also tended to be larger.</p>
      <p>
        One questionable aspect to the paraphrases is the exact identity of the container; the direction
case structure identifies the destination of the movement as Amy’s “inside”, and the state change
structure identifies the container as simply “Amy”. Human participants in a prior study [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]
reliably identified the more specific “lungs” as part of the CD representation of “Amy took a
breath”, and we must consider whether this more specific container should have been used here.
      </p>
    </sec>
    <sec id="sec-6">
      <title>6. Related Work</title>
      <p>
        Other important work on image schemas with Conceptual Dependency has endeavored to
compare, combine, formalize, and crowdsource the two [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref2">12, 13, 11, 2, 10, 14</xref>
        ]. The Babel system
[Babel, 8] is part of Margie: the Memory, Analysis, Response Generation, and Inference
in English system [Margie, 9] a classic demonstration of meaning representation featuring
non-linguistic structures. Babel generates natural language surface realizations of Conceptual
Dependency language-free conceptual base structures [CD, 5] using an augmented transition
network [15, 16]. Recently Babel has been used to test the in-depth language understanding
capabilities of deep learning [17].
      </p>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusion</title>
      <p>This paper documents our attempts to replace the Conceptual Dependency INGEST primitive
with PTRANS based on constructions inspired by Source_Path_Goal and Containment image
schemas. We find that Babel is a useful tool for exploring image schemas through language
generation. The generated paraphrases teach us about combining and contrasting image schemas
and CD primitives, and they operationalize a theoretical proposition that contrasting image
schemas with CD taught us about how to improve CD or how to make it correspond more
with human cognition. The paraphrase generation process provides strong evidence in favor of
replacing INGEST with PTRANS.</p>
      <p>We intend to perform similar studies on replacing CD’s EXPEL primitive, which represents an
dual opposite of INGEST. In future work we plan to fully embed Babel’s original INGEST and
EXPEL discrimination nets into the PTRANS net fully replacing them with PTRANS, making it
into what is efectively a single discrimination net for Source_Path_Goal. Studies with human
subjects similar to those in [17] will provide even stronger evidence to guide the development of
these primitive decomposition systems. These are important steps toward the possible merging
of image schemas and Conceptual Dependency, which could have a great many benefits both
for cognitive linguistics and for cognitive artificial intelligence research.
IV) at The Fifth Joint Ontology Workshop (JOWO’19), The International Association for
Ontology and its Applications, Graz, Austria, 2019.
[15] R. Simmons, J. Slocum, Generating English discourse from semantic networks,
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[16] W. A. Woods, Transition network grammars for natural language analysis,
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[17] J. C. Macbeth, E. Chang, J. G. Chen, Y. Hua, S. Grandic, W. X. Zheng, A broader range for
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in: Proceedings of The Eighth Annual Conference on Advances in Cognitive Systems
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