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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The URREF Ontology for Semantic Wide Area Motion Imagery Exploitation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Erik Blasch</string-name>
          <email>erik.blasch@rl.af.mil</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Paulo C. G. Costa, Kathryn B. Laskey</string-name>
          <email>klaskey@c4i.gmu.edu</email>
          <email>{pcosta, klaskey}@c4i.gmu.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Haibin Ling</string-name>
          <email>hbling@temple.edu</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Genshe Chen</string-name>
          <email>gchen@intfusiontech.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Air Force Research Lab</institution>
          ,
          <addr-line>Rome, NY, 13441</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>C4I Center - George Mason University</institution>
          ,
          <addr-line>Fairfax, VA, 22030</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Information Fusion Tech.</institution>
          ,
          <addr-line>Germantown, MD 20874</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Temple Universtity</institution>
          ,
          <addr-line>Philadelphia, PA 19122</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>- Today's information fusion systems (IFSs) require common ontologies for collection, storage, and access to multi intelligence information. For example, ontologies are needed to represent the connections between physics-based (e.g. video) and text-based (e.g. reports) describing the same situation. Situation, user, and mission awareness are enabled through a common ontology. In this paper, we utilize the uncertainty representation and reasoning evaluation framework (URREF) ontology as a basis for describing wide-area motion imagery (WAMI) analysis to determine uncertainty attributes. As part of the Evaluation of Technologies for Uncertainty Representation Working Group (ETURWG), both the URREF and a WAMI challenge problem are available for research purposes. We provide an exemplar schema to link physics-based and text-based uncertainty representations to explore a common uncertainty demonstration.</p>
      </abstract>
      <kwd-group>
        <kwd>Hard-soft Information Fusion</kwd>
        <kwd>Performance Evaluation</kwd>
        <kwd>Uncertainty Reasoning</kwd>
        <kwd>Knowledge Representation</kwd>
        <kwd>Ontology</kwd>
        <kwd>Measures of Effectiveness</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>INTRODUCTION</p>
      <p>
        A fundamental goal of information fusion is to reduce
uncertainty by combining information from multiple sources.
When inputs come from disparate, heterogeneous sources,
there is a need for a unified, common, and standardized
semantic understanding of the information being fused, and
also of the associated uncertainty. Ontologies [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] provide a
means for such shared semantic understanding, thus enabling
interoperability among systems in application domains such as
command and control, emergency response, and information
sharing [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. In this work, we focus specifically on the need for
interoperable representations of uncertainty. Figure 1, taken
from [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], depicts the transformation of evidence from sensors
through a fusion system to produce outputs reported to users.
The fusion system employs uncertainty representation and
uncertainty for machine processing and user interaction,
refinement, and understanding [
        <xref ref-type="bibr" rid="ref3 ref4 ref5 ref6">3, 4, 5, 6</xref>
        ].
      </p>
      <p>
        The evaluation of how uncertainty is processed is
dependent on system-level metrics such as timeliness, accuracy,
confidence, throughput, and cost [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], which also are information
fusion quality of service (QoS) metrics [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Future large
complex information fusion systems will require performance
evaluation [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and understanding of the connections between
various metrics [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. It is a goal of the Evaluation of
Technologies for Uncertainty Representation Working Group
(ETURWG) to formulate, test, and evaluate different
approaches to uncertainty representation and reasoning. The
URREF ontology provides a common semantic understanding
to support evaluation of the uncertainty aspects of IF systems.
      </p>
      <p>
        Information fusion system-level metrics include timeliness
(how quickly the system can come to a conclusion within a
specified precision level), accuracy (where can an object be
Figure 1 - Boundaries of the Uncertainty Representation and Reasoning Evaluation Framework [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
found for a specified localization level), and confidence (what
level of a probability match for a defined recall level). Clearly,
different choices in uncertainty representation approaches will
affect the achievable timeliness, accuracy, and confidence of a
system, and therefore must be considered when evaluating both
the system’s performance as a whole [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] and the specific
impact of the uncertainty handling approach. Yet, when
evaluating timeliness (or any other system-level metrics), one
will likely find some factors not directly related to the handling
of uncertainty itself, such as object tracking and identification
report updates (i.e., Level 1 fusion) [
        <xref ref-type="bibr" rid="ref12 ref13 ref14">12, 13, 14</xref>
        ], situation and
threat assessment relative to scenario constraints (i.e., Level 2/3
fusion) [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], overall system architectures (e.g. centralized,
distributed, etc.) [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], data management processes and
feedback / input control processes (i.e., Level 4 fusion
considerations) [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], and user-machine coordination based on
operating systems (i.e., Level 5 fusion) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], and others. In
other words, evaluation of the uncertainty handling aspect of a
fusion system is closely related to, yet distinct from, evaluation
of the performance of the system overall.
      </p>
      <p>
        Key to the various Data Fusion Information Group (DFIG)
[
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] levels of information fusion is evaluation. For example,
there have been efforts in comprehensive tracking [
        <xref ref-type="bibr" rid="ref19 ref20">19, 20</xref>
        ],
object classification [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], and situation awareness evaluation
[
        <xref ref-type="bibr" rid="ref22">22</xref>
        ], which focus on measures of performance (MOPs). Future
evaluations will include high-level information Measures of
Effectiveness (MOEs) [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] that include uncertainty
characterization [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ].
      </p>
      <p>
        Along with the URREF ontology, the ETURWG has also
developed a series of use cases. The purpose of the use cases is
to provide concrete realizations of the range of problems to
which the URREF is intended to apply, to help ensure that the
framework can address this range of problems. One use case is
the use of Wide-Area Motion Imagery (WAMI) for Level 1
fusion [
        <xref ref-type="bibr" rid="ref25 ref26 ref27 ref28">25, 26, 27, 28</xref>
        ]. Other computer vision working groups
[
        <xref ref-type="bibr" rid="ref29">29</xref>
        ] are exploring semantic technology with datasets that are
not necessary focused on uncertainty, but have a rich set of
ontologies and datasets for collaboration and comparisons.
      </p>
      <p>The paper investigates the use of URREF for WAMI
tracking. Section II explores the issues of uncertainty
characterization and Section III, the uncertainty evaluation
framework. Section IV presents a WAMI tracking use case
using the URREF for timeliness, accuracy, and confidence.
Section V provides and discussion and Section VI conclusions.</p>
      <p>II.</p>
      <p>THE UNCERTAINTY REPRESENTATION PROBLEM</p>
      <p>
        The Information Fusion community envisions effortless
interaction between humans and computers, seamless
interoperability and information exchange among applications,
and rapid and accurate identification and invocation of
appropriate services. As work with semantics and services
grows more ambitious, there is increasing appreciation of the
need for principled approaches to representing and reasoning
under uncertainty. Here, the term "uncertainty" is intended to
encompass a variety of aspects of imperfect knowledge,
including incompleteness, inconclusiveness, vagueness,
ambiguity, and others. The term "uncertainty reasoning" is
meant to denote the full range of methods designed for
representing and reasoning with knowledge when Boolean
truth-values are unknown, unknowable, or inapplicable.
Commonly applied approaches to uncertainty reasoning
include probability theory [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ], expert systems [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ], fuzzy
logic, subjective logic [
        <xref ref-type="bibr" rid="ref32 ref33">32, 33</xref>
        ], Dempster-Shafer theory, DSmT
[
        <xref ref-type="bibr" rid="ref34">34</xref>
        ], and numerous other techniques.
      </p>
      <p>
        To illustrate the challenges of evaluating uncertainty
representation and reasoning in information systems, we
consider below a few reasoning challenges faced within the
World Wide Web domain that could be addressed by reasoning
under uncertainty [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Uncertainty is an intrinsic feature of
many of the required tasks, and a full realization of the World
Wide Web as a source of processable data and information
management services [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] demands formalisms capable of
representing and reasoning under uncertainty such as:
      </p>
      <p>Automated agents (e.g., to exchange Web information);
Uncertainty-laden data. (e.g., terrain information);
Non-sensory collected information (e.g., human sources);</p>
    </sec>
    <sec id="sec-2">
      <title>Dynamic composability (e.g., Web Services); or</title>
      <p>
        Information extraction (e.g., indexing from large databases)
These problems are all related to information fusion,
involve both text-based [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ] and physics-based [
        <xref ref-type="bibr" rid="ref36">36</xref>
        ] data, and
can be easily extrapolated to represent the more general classes
of problems found in the sensor, data, and information fusion.
A recent example of hard-soft fusion uses a controlled natural
language (CNL) for data-to-decisions [
        <xref ref-type="bibr" rid="ref37">37</xref>
        ].
      </p>
      <p>III.</p>
    </sec>
    <sec id="sec-3">
      <title>THE UNCERTAINTY EVALUATION FRAMEWORK</title>
      <p>The uncertainty representation and reasoning evaluation
framework (URREF) includes both hard (e.g. imaging, radar,
video, etc.) and soft (e.g., human reports, software alerts, etc.)
sources, which require integration for uncertainty MOEs.</p>
      <p>Effectiveness relates to a system’s capability to produce an
effect. Benefits of fusion include providing locations of events,
extending coverage, and reducing ambiguity and false alarms.
The goal of the IFS is to support users in their tasks to provide
refined information, reduce time and workload, or enable
complete, accurate, and quality task completion. Effectiveness
includes efficiency: doing things in the most economical way
(good input to output ratio), efficacy: getting things done, (i.e.,
meeting objectives), and correctness: doing "right" things, (i.e.,
setting right thresholds to achieve an overall goal - the effect).
The MOEs support system-level management and design
verification, validation, testing, and evaluation. The URREF
output step involves the assessment of how information on
uncertainty is presented to the users and, therefore, how it
impacts the quality of their decision-making process.</p>
      <p>
        Key aspects of effectiveness include quality of service
(QoS) and quality of information, also known as information
quality (IQ). QoS relates to the ability of a system to provide
timely and dependable data transmission. QI relates to the
fitness for purpose of the content. QoS and QI metrics can be
utilized for hard-soft semantic information fusion [
        <xref ref-type="bibr" rid="ref38 ref39 ref40 ref41">38, 39, 40,
41</xref>
        ]. Representing and measuring QI typically requires
addressing the semantics of the domain and the problem. Thus,
ontologies are an indispensible tool for measuring QI [
        <xref ref-type="bibr" rid="ref42">42</xref>
        ].
Because QI is inherently focused on uncertainty, probabilistic
ontologies [
        <xref ref-type="bibr" rid="ref43">43</xref>
        ] are useful for representing QI metrics.
      </p>
      <p>
        The URREF ontology, whose main concepts are depicted in
Figure 2, is a first step towards a common framework for
evaluating uncertainty in fusion systems. These core classes are
subclasses of the top level class, which in OWL is called Thing.
The core of the ontology is the Criteria class, which drives the
development of the elements of the subclasses (Section II.B).
The Uncertainty Classes were either taken or adapted from the
Uncertainty Ontology developed by the W3C’s URW3-XG [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
The ontology must also be used as a high-level reference for
defining the actual evaluation criteria items that will comprise a
comprehensive uncertainty evaluation framework. Other main
class definitions include:
      </p>
      <p>A source class is the origin of the information. A physical
sensor is one important example of a source; where natural
language inputs from a human is another.</p>
      <p>A Sentence class captures an expression in some logical
language that evaluates to a truth-value (e.g., formula,
axiom, assertion).</p>
      <p>A Uncertainty Derivation class refers to the way it can be
assessed which is decomposed into:
1) Objective Subclass: (e.g., factual and repeatable
derivation process).
2) Subjective Subclass: (e.g., a subject matter expert's
(SME’s) estimation).</p>
      <p>A Uncertainty Model class contains information on the
mathematical theories for the representing and reasoning
with the uncertainty types.</p>
      <sec id="sec-3-1">
        <title>A. Uncertainty Type Class</title>
        <p>
          Uncertainty Type is a concept that focuses on underlying
characteristics of the information that make it uncertain. Its
subclasses are Ambiguity, Incompleteness, Vagueness,
Randomness, and Inconsistency, all depicted in Figure 3. These
subclasses were based on the large body of work on evidential
reasoning by David Schum [
          <xref ref-type="bibr" rid="ref31">31</xref>
          ].
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>B. Criteria Class</title>
        <p>The Criteria Class is the main class of the URREF ontology,
and it is meant to encompass all the different aspects that must
be considered when evaluating information uncertainty
handling in multi-sensor fusion systems. Figure 4 depicts the
Criteria Class and its subclasses:
1) Input Criteria: encompasses the criteria that directly affect
the way evidence is input to the system. It focuses on the
source of input data or evidence, which can be tangible
(sensing or physical), testimonial (human), documentary, or
known missing.</p>
        <p>Relevance to Problem assesses how a given uncertainty
representation is able to capture why a given input is
relevant to the problem and what was the source of the
data request.</p>
        <p>
          Weight or Force of Evidence measures how a given
uncertainty representation is able to capture the degree
to which a given input can affect the processing and
output of the fusion system. Ideally, the weight should
be an objective assessment and the representation
approach must provide a means to measure the degree
of impact of an evidence item with a numerical scale
such as value of information [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ].
        </p>
        <p>Credibility, also known as believability, comprises the
aspects that directly affect a sensor (soft or hard) in its
ability to capture evidence. Its subclasses are Veracity,
Objectivity, Observational Sensitivity, and
SelfConfidence.
2) Representation Criteria: encompasses the criteria that
directly affect the way information is captured by and
transmitted through the system. These criteria can also be
called interfacing or transport criteria, as they relate to how
the representational model transfers, passes, and routes
information within the system.</p>
        <p>Evidence Handling: is a subclass of representation criteria
that apply particularly to the ability of a given
representation of uncertainty to capture specific
characteristics of incomplete evidence that are available
to or produced by the system. The main focus is on
measuring the quality of the evidence by assessing how
well this evidence is able to support the development of a
conclusion. It has subclasses Conclusiveness,
Ambiguousness, Completeness, Reliability, and
Dissonance.</p>
        <p>Knowledge Handling: includes criteria intended to measure
the ability of a given uncertainty representation technique
to convey knowledge. Its subclasses are Compatibility
and Expressiveness (which is further divided into the
subclasses Assessment, Adaptability, and Simplicity)
3) Reasoning Criteria: contains criteria that directly affect the
way the system transforms its data into knowledge. These
can also be called process or inference criteria, as they deal
with how the uncertainty model performs operations with
information. It has the following subclasses:
Correctness measures of the ability of the inferential
process to produce results close to the truth. In cases
where there is no ground truth to establish a correct
answer (including a simulated ground truth), the
representation technique can still be evaluated in terms of
how its answers align with what is expected from a gold
standard (e.g. subject matter experts, etc.).</p>
        <p>Consistency assesses of the ability of the inferential process
to produce the same results when given the same data
under the same conditions.</p>
        <p>Scalability evaluates how a representational technique
performs on a class of problems as the amount of data or
the problem size grows very large. Scalability could be
broken down into additional sub-criteria.</p>
        <p>Computational Cost computes the number of resources
required by a given representational technique to produce
its results.</p>
        <p>Performance includes metrics to assess the contribution of
the representational model toward meeting the functional
requirements of an information fusion system. Other
system architecture factors also affect these metrics. This
criterion is divided into subclasses Timeliness and
Throughput.
4) Output Criteria relates to the system’s results and its ability
to communicate it to its users in a clear fashion. It has the
following subclasses:</p>
        <p>Quality serves to assess the informational assessment of
the system’s output. It includes Accuracy and
Precision as subclasses. It is common to see in the
literature the same concepts with different names. For
example, accuracy sometimes is used as a synonym of
precision; and sometimes precision is a refinement of
accuracy. As one makes the granularity coarser, one
can expect that the system will have a better accuracy.
Precision can also be used to determine bounds on the
certainty of the reported result.</p>
        <p>Interpretation refers to the degree to which the
uncertainty representation and reasoning can be used to
guide assessment, to understand the conclusions of the
system and use them as a basis for action, and to
support the rules for combining and updating
measures.</p>
        <p>The above concepts are being explored within the
ETURWG, which is making use of this ontology (shown in
Figure 4) to support the development of uncertainty evaluation
criteria over a set of information fusion use cases. The
interested reader should refer to the group’s website for more
specific details (http://eturwg.gmu.edu). Note that the URREF
ontology is not supposed to be a definitive reference for
evaluation criteria, but simply an established baseline that is
coherent and sufficient for its purposes. This approach
privileges the pragmatism of having a good solution against
having an “ideal” but usually unattainable solution. For
instance, a definitive reference would involve having
universally accepted definitions and usage for terms such as
"Precision." This is clearly infeasible. The approach also takes
into consideration that more important than naming a concept
is to ensure that it is represented clearly and distinctly within
the ontology so as to ensure the consistency for such
applications as hard-soft fusion.</p>
        <p>
          To assure utility and acceptability of the URREF ontology,
most of its concepts have been drawn from seminal work in
related areas such as uncertainty representation, evidential
reasoning, and performance evaluation. The ontology has built
on the URW3 uncertainty ontology [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. Also, the structure and
viewpoint adopted in the ontology development have been
tuned to addressing the uncertainty evaluation problem and its
associated perspective (e.g. how information is handled within
a fusion system). Next, we present simultaneous tracking and
identification (ID) application using the URREF.
        </p>
        <p>IV.</p>
        <p>EXAMPLE – WAMI
Wide area motion imagery (WAMI) systems provide imagery
and video surveillance of large areas.</p>
      </sec>
      <sec id="sec-3-3">
        <title>A. Schema</title>
        <p>
          A schema for image processing is shown in Figure 5 for the
Cursor on Target (CoT) program [
          <xref ref-type="bibr" rid="ref44">44</xref>
          ]. As detailed, the schema
provides target type and identification (ID) allegiance, time
stamps, and coordinate locations (much as the DFIG level 1
object assessment information of target track and ID
information). While the schema is simple, and worked well [
          <xref ref-type="bibr" rid="ref45">45</xref>
          ],
for purposes of information transmission, processing,
exploitation, and dissemination, future developments could include
uncertainty fields from the URREF ontology. It is important to
assess which semantic content is most relevant for operational
information fusion management and systems design.
        </p>
        <p>In order to determine what uncertainty attributes can be
added to such a message passing schema, there are three issues
(1) what, (2) how much, and (3) which ones. For the case of
physics-based (video) and textual-based reports, we need to
determine what semantic content could be useful. One simple
case is that either a human analyst can report a “friendly” in the
uid field, or a machine tracker could extract the information
from the video to update the uid field of “friendly”. One
example of “friendly” could be from extracted text and video
exploitation of a blue vehicle. What is obviously missing from
the CoT schema is some notion of uncertainty with the
measurements and information as to the confidence, timeliness,
and position accuracy. While the entire URREF cannot, and
should not, be considered for the schema updates, as a message
passing service for the ontology, the first issue is to calculate
possible uncertainty metrics that could go into the schema.</p>
      </sec>
      <sec id="sec-3-4">
        <title>B. Metrics to Support the URREF Ontology</title>
        <p>For the metrics available in the Cursor on Target Schema, we
seek measures of confidence, accuracy, and timeliness, as
related to uid, time, and point; respectively.</p>
        <p>Credibility / Confidence: evaluates the ability to discern an
object based on a known target. Classification is the
target match, while identity is target allegiance. If targets
are of known entities, it can be assumed that the targets
not classified could pose an ID uncertainty. Using a
Bayesian approach for this example, we determine the
relative probability from the likelihood values of the
object, versus of target clutter ℓO | c , where c j is for j = 1,
..., n clutter types:</p>
        <p>PrO | c =</p>
        <p>[ ℓ O | C ]
Σ c j ∈ C [ ℓ O | c j ]
Using plausibility, uncertainty is everything unknown</p>
        <p>UL = 1 - PrO | c
Timeliness: evaluates when the system knows enough
information to make a decision versus when it was
collected. For the purpose of this analysis we simulate
the deadtime for an input time delay (TDi) for a decision
i, as related to the user achieving a control decision [46].
Likewise, in the action selection requires time as
modelled as an output time delay (TOi). The updated
state-space representation is:
(1)
(2)
(3)
(4)
y(t) = C x(t − TOi) + D u(t)
To determine the estimation parameters of A and B, as well
as the output analysis of C and D, we model the importance
of the information processing as related to the cognitive
observe-orient-decide-act (OODA) functions. Uncertainty
is defined as the decision time difference of arrival:</p>
        <p>UT = x(t − TOi) - x(t − TDi)
Accuracy: evaluates how the real world track estimates
from the measurements compare to the ground truth. For
the purpose of this analysis, the real world is reduced to
a specified track estimate xM, as related to ground truth
xT. Using a root-mean square error, we have:
UL =
(xM - xT)2 + (yM - yT)2
(5)</p>
        <p>Accuracy can be determined versus the ability to track a
target exactly: 1 - UL. Other aspects could include track
purity for track-to-track association [46] for situation
awareness including:
Specificity: evaluates how much of the real world clutter is
reduced such as reducing the false alarms. While we do
not simulate, we can deduce from the track confidence.
Situation Completeness: evaluates how much of the real
world the system knows. For the purpose of this analysis
the real world is reduced to a specified region of space
(the volume of interest, VOI) during a given time
interval (the time interval of interest, TOI).</p>
      </sec>
      <sec id="sec-3-5">
        <title>C. Wide Area Motion Imagery Example</title>
        <p>
          WAMI has gained in popularity as it affords advanced
capabilities in persistence, increased track life, and situation
awareness, but it also poses new challenges such as low frame
updates (timeliness) [
          <xref ref-type="bibr" rid="ref46 ref47">47, 48</xref>
          ]. Leveraging developments from
computer vision [
          <xref ref-type="bibr" rid="ref48 ref49 ref50 ref51 ref52">49, 50, 51, 52, 53</xref>
          ], methods are being
applied as part of the ETUWG [
          <xref ref-type="bibr" rid="ref29">29</xref>
          ]. The persistence coverage
affords such methods as multiple object and group tracking
[
          <xref ref-type="bibr" rid="ref53 ref54 ref55">54, 55, 56</xref>
          ], road assessment and tracking [
          <xref ref-type="bibr" rid="ref56 ref57">57, 58</xref>
          ], contextual
tracking [
          <xref ref-type="bibr" rid="ref58 ref59">59, 60</xref>
          ], and advances in particle filtering [
          <xref ref-type="bibr" rid="ref58 ref60">59, 61</xref>
          ].
Because of the numerous objects and their movements, there
are opportunities for linear road tracking, but also there is a
need for nonlinear track evaluation [
          <xref ref-type="bibr" rid="ref61">62</xref>
          ] such as the
randomized unscented transform (RUT) filter [
          <xref ref-type="bibr" rid="ref62">63</xref>
          ] for
accuracy assessment. These issues will be important for future
work.
        </p>
        <p>
          We utilize the results from a WAMI tracker for track
location accuracy, the pixels on target for classification for
target identity (e.g. credibility), and the timeliness to make a
decision. We are tracking four targets with an on-road analysis
with a nominated target of interest, as shown in Figure 6.
Vehicles turning off road are not considered as part of the user
defined targets of interest. Note: the entire Columbus Large
Image Format (CLIF) WAMI image collection has been
presented in previous papers with discussions with the entire
video data set [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] (see the ETURWG website).
0.9
0.8
0.7
1
0.9
0.8
0.7
e
c
timely 0.6 ien
A-ac fnd
B-ac 0.5 oC
C-ac ID
D-ac 0.4 treg
A-cf 0.3 aT
B-cf
C-cf 0.2
D-cf
0.1
200
00
2
4
6 8 10 12 14
        </p>
        <p>Time
Figure 7 – Target Accuracy
16
18
20</p>
        <p>Figure 7 plots the target accuracy (which is the inverse of
the typical plots that show the target tracking error). Figure 8
combines the track accuracy in a unified display plot showing
the target confidence (uid) and the accuracy. The confidence is
shown as solid lines and the timeliness presented as the black
humps where the time intervals are shown as: orient (t =
2.55), observe (t = 5-10), decide (t = 10-13) and act (t =13-18)
time steps.</p>
        <p>Confidence-Accuracy-Timeliness Plot
f
n
o</p>
        <p>C
tID
e
g
r
a</p>
        <p>T
2
4
6
8 10 12
Time Response
14
16
18</p>
        <p>Figure 8 – Confidence-Accuracy-Timeliness Results.</p>
        <p>Using the above information, we combine the credibility
/confidence, accuracy, and timeliness (CAT) for a semantic
notion of fused uncertainty in Figure 9 (where the normalized
values are UT = UC + UT + UA). Together, the combined
uncertainty could be a ontology field in an updated CoT
schema to give the user a quality assessment of a machine
processed semantic representation of uncertainty.</p>
        <p>V.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>DISCUSSION</title>
      <p>Figure 9 shows a case for unified uncertainty estimation and is
meant for discussion. Given the choice to utilize the URREF
ontology, there are issues associated with choosing an
ontology representation that can work within a message
passing schema. If only one field was available, say ut, then is
it appropriate to normalize the uncertainty and combine for
purposes of the schema? For this case, only one target was
nominated (like the CoT program), from which we see that the
combined evidence supports a reduction in uncertainty;
namely decreased track error, increased plausibility and hence
ruling out the uid error, and the timeliness in decision making.</p>
      <p>CAT Uncetainty Plot
1
0.9
0.8
0.7
y 0.6
it
n
tra 0.5
e
c
nU0.4
0.3
0.2
0.1</p>
      <p>CONCLUSIONS</p>
      <p>
        Characterizing the uncertainty is important in information
fusion (IF) processes. Evaluation of IF systems presents
various challenges due to the complexity of fusion systems and
the sheer number of variables influencing their performance.
Developing the operational semantics will include issues of
representation, reasoning, and policy which need to be
considered for command and control [
        <xref ref-type="bibr" rid="ref63">64</xref>
        ]. Representing
uncertainty has an overall impact on system performance that is
hard to quantify or even to assess from a qualitative viewpoint.
The ETURWG technical considerations unearthed many issues
that demand a common understanding that is only achievable
by a formal specification of the semantics involved [
        <xref ref-type="bibr" rid="ref64 ref65">65, 66</xref>
        ].
      </p>
      <p>In the paper, we utilized the current URREF ontology in
relation to an established schema (Cursor on Target) to support
the development of a specific use case for wide-area motion
imagery (WAMI) simultaneous tracking and identification. We
also presented a visual analytic method for uncertainty metrics
and analytics. Future work includes group tracking, activity
analysis, hard-soft fusion, and contextual understanding.</p>
      <p>More specific requirements to evaluate a set of use cases
and associated data sets designed by the ETURWG are
accessible through our webpage [http://eturwg.c4i.gmu.edu].
Although it is clear that the URREF ontology is not a definitive
reference for all types of information fusion activities, it has
proven to be a discussion towards a common framework.</p>
    </sec>
    <sec id="sec-5">
      <title>ACKNOWLEDGMENT</title>
      <p>The authors recognize the contributions of the members of
the International Society of Information Fusion’s ETURWG in
formulating the URREF ontology, which was discussed in
several of its meetings and includes the WAMI use case.</p>
    </sec>
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