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  <front>
    <journal-meta>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Ebi - a Stochastic Process Mining Framework</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sander J.J. Leemans</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tian Li</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jan Niklas van Detten</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>RWTH Aachen</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Germany</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Download/Demo URL</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Documentation URL</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Rust, GraphViz</institution>
          ,
          <addr-line>Rust4pm</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Melbourne</institution>
          ,
          <country country="AU">Australia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Windows</institution>
          ,
          <addr-line>Linux,, Mac OS X with self-compilation</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <fpage>14</fpage>
      <lpage>18</lpage>
      <abstract>
        <p>Ebi is an open-source framework for stochastic process mining. Ebi currently contains over 30 techniques related to stochastic process mining, from completeness estimation to analysis, conformance checking, discovery, visualisation and statistical tests, and can be called from the command line.</p>
      </abstract>
      <kwd-group>
        <kwd>Stochastic process mining</kwd>
        <kwd>stochastic process models</kwd>
        <kwd>event logs</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>CEUR</p>
      <p>ceur-ws.org
Value
Ebi
1.0
Apache 2.0
https://github.com/BPM-Research-Group/Ebi
https://youtu.be/IEeTH3DCZ_0</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>Using process mining techniques, business analysts can find ineficiencies in business processes,
with the ultimate aim of improving them. For eficient use of process improvement resources,
it is important to recognise whether certain to-be-improved behaviour is frequent or rare.
Such frequency information is referred to as the stochastic perspective in process mining, and
techniques that take this stochastic information into account explicitly are called stochastic
process mining techniques.</p>
      <p>
        Stochastic process mining techniques are scattered across several process mining frameworks,
such as Pm4py [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], BupaR [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and ProM [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], each with its strengths and weaknesses, ranging
from computational eficiency to ease of applicability in high-performance computing settings.
None of these existing frameworks (i) allows a straightforward application of a particular
technique to an input file, (ii) none is easily accessible from the command line, (iii) all require
installation and external runtime environments and, most importantly, (iv) none support exact
computations throughout.
      </p>
      <p>Ebi is a command line utility focused on stochastic process mining techniques. For end users,
it allows direct application of stochastic process mining techniques to files, and writes the
output to a file. No need to import, click through options and export, or even to write scripts. In
particular, Ebi supports exact computations, which are a necessity in stochastic process mining
(see Section 2).</p>
      <p>For developers, Ebi is a framework that allows abstractions on inputs through interfaces
(“traits”), such that implemented techniques automatically support a variety of input and
output types. Furthermore, Ebi provides the means to perform exact computations easily,
through custom implementations of corresponding data structures and methods such as matrix
computations, as well as solvers and optimisation routines. Ebi as a framework ensures a
consistent parameter handling, and is thus well positioned to act as a background library for
Pm4py, BupaR and ProM in the future. Ebi is open source and we welcome contributions from
the community.</p>
      <p>The remainder of this paper is organised as follows. In Section 2, we discuss the significance of
Ebi for stochastic process mining. Section 3 details its innovations. Section 4 lists the currently
implemented techniques, while Section 5 discusses its maturity and Section 6 concludes the
paper.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Significance</title>
      <p>
        In stochastic process mining, techniques may need to deal with astonishingly small numbers.
For instance, the BPIC11 [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] log has traces with more than 1 800 events. In any reasonable
stochastic process model, the probability of such a trace would be well below 10−300, which is the
minimum value that a double precision float can represent. Even if we could represent such low
values reliably, doing any kind of computation would yield a low precision. For instance, if we
want to compute the unit Earth-movers’ stochastic conformance measure [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], we need to sum
over one such value for each trace in the log, which would, in a typical log with thousands of
traces, not leave any precision. In practice, computations on such logs without exact arithmetic
would be highly unreliable. More numerically complex techniques that for instance require
matrix computations like solving, inversion or multiplication with such low values would fare
even worse. Hence, exact computations are a necessity in stochastic process mining, and Ebi is
the first process mining framework that provides exact arithmetic for stochastic process mining.
      </p>
      <p>
        Furthermore, having a command line interface eases the application of stochastic process
mining techniques in demanding scientific experimental settings. Ebi is fully command-line based;
though integrations with existing process mining frameworks such as Pm4py [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], BupaR [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]
and ProM [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] are planned, in a similar fashion to Rust4pm [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>Finally, Ebi encourages techniques to accept a large variety of inputs and produce a large
variety of outputs, as it moves the burden of matching inputs and outputs of techniques to file
types in the framework itself: by means of abstract interfaces (such as “a stochastic language
that we can iterate over, and that iteration will end”), file types implement interfaces while
techniques use them.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Innovations</title>
      <p>Ebi aims to provide stochastic process mining techniques to analysts in a consistent and coherent
fashion, accessible through the command line. The Ebi framework provides the following
innovations:
• Background library &amp; command line</p>
      <p>
        Ebi is a command line tool, which allows it to be applied easily in scientific experiment
workflows. However, due to its structured set-up, it is well suited to be used as well as
a fast background library for graphical tools or scripting languages such as Pm4py [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
BupaR [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and ProM [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
• Exact computation
      </p>
      <p>As described in Section 2, exact computations are a necessity in stochastic process mining.
Completely transparent to end users and techniques, Ebi uses fractions of unlimited
size, explicit logarithms and explicit roots to perform almost all computations exactly.
However, exact computations can be disabled by the user for performance reasons. For
more details, please refer to the manual.</p>
      <p>Unfortunately, most existing Rust libraries do not accept unlimited fractions as input,
let alone explicit representations of logarithms and roots. Therefore, many secondary
techniques, such as linear solvers, matrix computations and approximation techniques,
were adapted to support exact computations.
• Input and output detached from techniques</p>
      <p>Completely transparent for end users, an implemented technique that needs to e.g. walk
over the traces of an event log will automatically support all input formats for which
that can be done. That is, techniques preferably define their inputs in terms of interfaces
(“traits”). Again completely transparent to end users and techniques, the output of a
technique is converted automatically by Ebi based on the file extension of the desired
output file. For more details, please refer to the manual.
• Local and memory-safe</p>
      <p>
        Ebi runs locally and neither needs nor uses internet access, which makes it suitable
for privacy-sensitive settings. Use of the Rust programming language ensures most
types of memory-related errors are absent. Furthermore, Rust is, of course dependent on
the programmer, more energy eficient than Java and much more energy eficient than
Python [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
    </sec>
    <sec id="sec-5">
      <title>4. Techniques, Files &amp; Architecture</title>
      <p>In Ebi, a command is the implementation of an algorithm. As summarised in Figure 1, a command
defines the inputs it needs, in terms of traits and object types, as well its output type, in terms of
an object type it will produce. For instance, the command Ebi analyse most-likely-traces
file
handler
export as
imports
will extract the most likely traces from its input. These inputs are (i) something that implements
the FiniteStochasticLanguage or StochasticDeterministicSemantics trait, and (ii) an
integer. When the user issues a command, Ebi will establish which traits and object types
can serve as an input for the given command. For each of these traits and object types, Ebi
will search which file handlers can provide it. For our example, the file handlers that can
provide a usable input are a finite stochastic language (.slang), a compressed event log (.xes.gz),
a stochastic labelled Petri net (.slpn), a stochastic deterministic finite automaton (.sdfa) and an
event log (.xes). Ebi will attempt to load the given file with all of these file handlers, until it
ifnds one that parses. Then, the command is executed. The command will result in an output,
that is, an object of a particular object type. Then, Ebi will consider the file extension of the file
the user wishes to write the result to, and see whether there is a file handler with that extension
that can export the output object type.</p>
      <p>The main techniques for which Ebi currently provides an implementations are shown in
Table 2. In total, Ebi currently has 30 commands. For a full overview of commands and their
inputs and outputs, please refer to the manual, accessible through http://ebitools.org.</p>
    </sec>
    <sec id="sec-6">
      <title>5. Maturity</title>
      <p>
        Ebi has been used in the experiments described in several recent papers published by the author
team [
        <xref ref-type="bibr" rid="ref12 ref15 ref16">12, 15, 16</xref>
        ]. In these experiments, Ebi has shown to be me much faster than corresponding,
earlier, implementations in other frameworks. This is presumably partly due to implementing
these techniques a second time, though perhaps also due to the lower level access to computing
Return all traces with their probabilities Ebi ana all
Estimate the completeness of an event log Ebi ana comp
Obtain the trace(s) that are on average the closest to all traces in Ebi ana med
an event log
Get all traces that have a likelihood higher than a threshold
Get the most likely traces
Align a finite (non-stochastic) language to a model
      </p>
      <p>↣ computes alignments for any model, not just Petri nets
Cluster traces into most-dissimilar groups (non-stochastic) Ebi anans clus
Obtain the trace(s) that are on average the closest to all traces in Ebi anans med
an event log (non-stochastic)
Association between process behaviour and trace attributes Ebi asso atts
Compute entropic relevance (uniform) Ebi conf er</p>
      <p>
        ↣ computes log-model comparisons for any model, not just SDFAs
Compute Jensen-Shannon stochastic conformance Ebi conf jssc
Compute unit earth-movers’ stochastic conformance Ebi conf uemsc
Convert stochastic languages and stochastic deterministic finite Ebi conv …
automata into other types
Discover a stochastic model using alignments Ebi disc ali
Discover a stochastic model using occurrences Ebi disc occ
Discover a stochastic model by giving each transition a weight of 1 Ebi disc uni
Print basic information on any file Ebi info
Compute the probability that a stochastic model will produce a Ebi prob mod
trace of a specified language
Compute the probability of a trace in a model Ebi prob trac
Compute the most likely path a trace followed in a model Ebi prob exptra
Sample a stochastic language Ebi sam
Test whether the sub-logs defined by a categorical trace attribute Ebi tst lcat
are derived from identical processes
Test-parse a file Ebi vali …
Visualise as graph Ebi vis svg
Ebi ana minprob
Ebi ana mostlikely
Ebi anans ali
paper
[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]
resources that Rust provides; something also observed in the Rust4pm project [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Furthermore,
Ebi has proven to be much easier to integrate in a scientific experimental setting, due to its
command-line interface: a simple command-line script sufices to perform complex chains of
tasks, whereas in ProM or Pm4py, all file IO and intermediate-result storage, and all exceptions,
need to be programmed. Finally, Ebi has been applied in several case studies with industry
partners, including amongst other things in thesis projects.
      </p>
    </sec>
    <sec id="sec-7">
      <title>6. Conclusion</title>
      <p>Ebi is a framework for stochastic process mining. It ofers exact arithmetic computation and,
currently, over 30 algorithms related to stochastic process mining, ranging from completeness
estimation to analysis, conformance checking, discovery, visualisation and statistical tests. For
technique implementers, Ebi handles the input and output file handling: techniques only need
to define their input and output format, and Ebi will take care of transformations automatically.
Currently, Ebi is a command-line based tool, however, in future work, it is intended that Ebi
can serve as a high speed background library for existing process mining frameworks such as
BupaR, ProM and Pm4py.</p>
    </sec>
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