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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Visual Process Mining over Time and Space</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Christofer Rubensson</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Humboldt-Universität zu Berlin</institution>
          ,
          <addr-line>Berlin</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Weizenbaum Institute</institution>
          ,
          <addr-line>Berlin</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>Process mining is an area in business process management (BPM) that provides analysts with data mining tools to discover and analyze processes from event data. Current research ofers a range of techniques to derive process insights from multiple perspectives; however, the visualization of output and its potential to facilitate a better analytical understanding has received little attention. Instead, process visualization has been treated as a means of communicating algorithmic results, primarily through mostly static control-flow-centric models that have remained largely unchanged over time. By adopting concepts from visual analytics, we can create process layouts with contextual and interactive features that are optimized for efectiveness, providing valuable reasoning tools and better support for process analysts. This paper outlines our research aimed at addressing these challenges, with the ultimate goal of writing a dissertation. We will discuss current and future contributions and how they relate to the BPM research.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Process mining</kwd>
        <kwd>Visual analytics</kwd>
        <kwd>Spatio-temporal analysis</kwd>
        <kwd>Variant analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Process visualization in process mining transforms records of events from information systems into
human-readable format (cf., [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]), supporting better analysis of the underlying processes of the
data [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ]. Process models, such as Petri nets, business process model and notation (BPMN) diagrams,
and directly-follows graphs, are common means of visualizing processes [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. In essence, they are
directed graphs that depict the flow of activities executed within the process. Such graphs can be
extended with additional information to provide analysts with further insights [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        A key challenge in process visualization has been handling process complexity, particularly in
processes that are large and highly variable, such as those in healthcare and Internet of Things. Process
mining has been driven by the assumption that processes are, to a certain extent, structured and
partially sequential, leaving this challenge unsolved. Furthermore, there is a narrow spectrum of visual
representations in process mining, with visualizations being mostly control-flow-centric (cf., [
        <xref ref-type="bibr" rid="ref5 ref7">5, 7</xref>
        ]).
These problems are well-known and have been addressed in various areas of process mining, e.g., with
new multi-entity data structures, such as object-centric event logs [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], or in multi-dimensional variant
analysis [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref9">9, 10, 11, 12</xref>
        ]. Still, process visualization is an almost untouched territory. By viewing process
mining as a layout problem, we can contribute to this challenge with visual techniques that support
process analysts with more comprehensive tools and handle the problem of working with high-volume
and high-variety datasets.
      </p>
      <p>In a doctoral thesis, we aim to design and evaluate novel visual techniques that extend current
process visualizations with contextual attributes for multi-dimensional process analysis, interactive
elements for enhanced analytical reasoning, and optimization techniques for improved efectiveness.
More specifically, we first define process visualization as a layout problem that extends conventional
process models to multivariate layout arrangements with a focus on time and space. Then, we introduce
interactive elements to facilitate a more focused analysis and seamless navigation between multiple
abstraction levels, thereby better handling visual complexity. Finally, we validate the visual
representations in empirical studies to improve further using optimization techniques. In this way, we extend
business process management (BPM) research by expanding the spectrum of visual representations,
which are not limited to the control-flow perspective, while addressing the problem of visual complexity
in large and heterogeneous datasets. We also provide a bridge between the BPM and the visual analytics
communities.</p>
      <p>This paper is structured as follows. Sec. 2 summarizes the state of the art and provide the problem
statement for the thesis. Sec. 3 outlines the research design. Sec. 4 summarizes the current progress and
provides an outlook.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Background</title>
      <sec id="sec-2-1">
        <title>This section discusses related work and derives a problem statement.</title>
        <sec id="sec-2-1-1">
          <title>2.1. State of the Art</title>
          <p>We highlight contributions from three research streams related to this research: multi-dimensional
process analysis, visual analytics and process mining, and process layout optimization.</p>
          <p>
            First, process mining has primarily focused on studying control flow, but diferent sub-areas have
explored multi-perspective solutions. Process enhancement [
            <xref ref-type="bibr" rid="ref6">6</xref>
            ] is a process mining task that aims to
extend or improve discovered process models with additional information. This information can include
but is not limited to information about time and resources. Closely related is variant analysis [
            <xref ref-type="bibr" rid="ref13">13</xref>
            ], in
which recent work has aimed to expand the concept of control-flow-based process variant analysis to
multiple perspectives and data attributes [
            <xref ref-type="bibr" rid="ref10 ref11 ref12 ref9">9, 10, 11, 12</xref>
            ]. Here, multiple visual solutions have also been
proposed for exploring such variations [
            <xref ref-type="bibr" rid="ref14">14, 15, 16</xref>
            ]. Additionally, process analysis tools are considering
multi-entity data structures, such as the OCEL format [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ] and event graph networks [17], as the basis
for analysis.
          </p>
          <p>
            Second, visual analytics is a field that focuses on interactive visualizations as a means of analytical
reasoning [
            <xref ref-type="bibr" rid="ref1">1</xref>
            ]. In contrast, process mining has been primarily data-driven and algorithmic-driven, with
visualization being the result of a mining approach rather than an integral part of it. Yeshchenko and
Mendling [18] summarized work on the visualization of event sequences in both visual analytics and
process mining. They found that most work in process mining with a close attachment to visual analytics
involves those representing the instance level and process enhancement. Moreover, recent work explores
interactive solutions with various representations that partially go beyond the conventional process
layout [19, 20, 21] or use interactive filtering techniques on process models [22].
          </p>
          <p>
            Third, an efective visualization can increase cognitive comprehension [
            <xref ref-type="bibr" rid="ref3">3</xref>
            ]. Multiple factors can
impact user comprehension, like layout size and structure [23, 24], and layout stability [25]. Work that
explicitely addressed the layout for improved comprehension have looked into interactive designs [26],
hieararchical layout arrangements [27], and layout optimizations for more compact and linear graph
structures [28].
          </p>
        </sec>
        <sec id="sec-2-1-2">
          <title>2.2. Problem Statement</title>
          <p>Based on the discussion of the state of the art, we identify open challenges in process visualization
that are the starting point for this thesis. First, conventional process layouts are limited to analyzing
control flow, following a narrow range of analytical tasks that are visually supported. In contrast, most
visualizations that take this limitation into account consider only the instance representation or deviate
from model semantics (cf., [18]).</p>
          <p>
            Second, process mining is based on the implicit assumption that processes are well-structured and
centralized. As a consequence, many processes, such as those from the Internet of Things and healthcare,
are not supported by standard process visuals, resulting in visually complex and cluttered outcomes.
The known "spaghetti model" is an example of such results [
            <xref ref-type="bibr" rid="ref2">2</xref>
            ]. Thus far, the literature has been limited
in addressing this challenge.
          </p>
          <p>Finally, there is considerable empirical evidence and expertise in process comprehension. However,
only a few works explicitly aim for efective visualization based on this evidence. Even more so that
evaluate for further improvement.</p>
          <p>All in all, this thesis addresses these three challenges. We extend previous literature with novel visual
techniques that define contextual, interactive, and optimized layouts in process mining.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Research Design</title>
      <p>This research envisions the development of novel visual techniques that address the limitations of
conventional process models identified above by drawing on techniques from visual analytics. To this
end, we build on guidelines of algorithm engineering [29, 30] and define three main objectives:
RO1 Design a contextual process layout that extends the conventional process model in process mining
into a multi-dimensional domain to support process analysis in answering relevant questions
regarding process context without deviating from process semantics.</p>
      <p>RO2 Design an interactive process layout that enables analysts to navigate complex, multivariate
event networks with ease and minimal cognitive efort, allowing them to ask tailored analytical
questions.</p>
      <p>RO3 Design an optimized process layout based on empirical studies to enhance process comprehension,
improve task performance, and facilitate conceptually and technically scalable visualizations.</p>
      <p>The objectives build and improve upon each other. Also, each subsequent objective strengthens the
connection between process mining and visual analytics, beginning with the field of process discovery.
In the following subsections, we further elaborate on each objective, discuss methodology and solution,
and outline our current progress.</p>
      <sec id="sec-3-1">
        <title>3.1. Objective 1: Contextual Layout</title>
        <p>
          The first objective aims to establish the visual foundations of the thesis. We focus on the classical
task of process discovery [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] and how to extend conventional process models to a multivariate layout
arrangement. The results are design artifacts in the form of novel static visual representations. We
validate the artifacts based on their efectiveness by applying real-world data to quantitatively and
qualitatively investigate their impact on process comprehension [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ].
        </p>
        <p>
          Two dimensions that we will focus on explicitly are the temporal and spatial perspectives, as these
are highly relevant for providing context for analytical questions (cf., [31, 32, 33]):
Time The time perspective in process mining is essential for structuring event data and answering
performance-related questions (cf., [
          <xref ref-type="bibr" rid="ref2">2, 34</xref>
          ]). It is also important for analyzing bottlenecks, waiting times,
or other performance-related issues. Time is mostly not an explicit part of process model representations
(cf., [18, 34]).
        </p>
        <p>Contribution so far: With [35, 36], we provided the first contribution to this thesis. Here, we outlined
the requirements for a timeline-based process layout [35], i.e., a process model aligned along a time
axis. In [36], we further defined four layout strategies that discover a timeline-based process model
examplified with the directly-follows graph while handling the visual trade-ofs from logs of varying
complexities.</p>
        <p>Space Spatial information can support analysts with a geographical context, allowing them to ask
questions about where a process has been executed. This perspective is rare in process mining [37], but
it is particularly relevant for specific processes, such as analyzing spatially distributed processes. For
complex event logs with similar activities executed in distributed locations, geographic cues could help
to provide structure. We will draw on the literature of, i.a., visualization of movement data [38] and
planograms [39].</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Objective 2: Interactive Layout</title>
        <p>
          The second objective aims to build upon the previous results, expanding them into a dynamic domain.
More specifically, we define visual capabilities to allow for task-specific data analysis and utilize layout
strategies [40] to handle high-volume and high-variety data, such as filtering and abstraction. The
results are design artifacts in the form of novel interactive visual representations. We validate artifact
efectiveness in terms of process comprehension [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] and problem-solving performance [41] of tasks by
following methodological guidelines of visual analytics design studies [42]. For this purpose, we build
on established measurement scales for technology acceptance [43, 44] and usability [45].
        </p>
        <p>
          We will focus on variant analysis as a form of goal-oriented data analysis and pattern simplification
mechanisms:
Variation Variant analysis is an analytical task in process mining that compares process variation to
understand process performance [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ]. It can be used as a filtering strategy and deepen process
understanding. So far, variant analysis has mostly been limited to understanding control-flow variation [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ].
        </p>
        <p>
          Contribution so far: In Rubensson et al. [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ], we reformalized process variants into a multi-dimensional
domain. With a feature-engineering filtering tool, analysts can efectively extract and analyze
contextbased variations in event logs, allowing for a more efective analysis of high-variation processes.
Simplification Visual analytics provide multiple coping strategies for abstracting event sequence
data to handle volumenous and heteregenous data [40]. We aim to implement semantic zooming
capabilities that enable users to zoom in and out between diferent levels of abstraction in a process
graph, thereby increasing traceability between data and model and allowing for details on demand.
        </p>
        <p>Contribution so far: In a recent conference submission (accepted for publication at the ICPM 2025), we
defined an interactive visual mining approach with non-geometric semantic zooming capabilities. This
work defines a coordinate system for plotting event data on unique coordinates and introduces
abstraction techniques using contour diagrams to define multiple abstraction levels. With these techniques, the
user can seamlessly navigate between multiple abstraction levels of a process graph, from instance-level
to process-level, and levels in-between. Process discovery and rendering occur incrementally and in
real-time.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Objective 3: Optimized Layout</title>
        <p>The third objective aims to build upon the previous contributions by developing an optimized and
integrative solution that leverages their insights. To achieve this goal, we aim to make dedicated empirical
contributions through experiments to improve and finalize the existing artifacts both conceptually and
technically:
Conceptual To test the overall efectiveness of our designs, we will conduct empirical studies in
the form of controlled experiments with a focus on internal validity. The aim is to isolate the efects
of various design decisions while controlling for user expertise. For this purpose, we will draw on
experiments in software engineering [46] and reuse demographic measurement scales from prior studies
(e.g., [47, 48, 49, 50]). The empirical evidence will be utilized to improve our design conceptually.
Technical To ensure scalable visualizations [51], we will define requirements for incremental
rendering for our designs and test their performance in computer experiments considering the guidelines
by [52]. The aim is to compare our rendering strategy with others to test their impact on scalability
by using relevant performance factors. The empirical evidence will be used to improve our designs
technically.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>In conclusion, this thesis aims to present novel visual techniques that extend conventional process
visualizations in process mining with contextual information, interactive capabilities, and optimized
layout arrangements. In the following, we discuss some implications.</p>
      <sec id="sec-4-1">
        <title>4.1. Contribution to BPM</title>
        <p>This research makes a significant contribution to BPM and process mining. Our visual techniques
extend the body of knowledge in multiple areas in process sciences, including process visualization,
process discovery, process analysis, and layout comprehension. We also contribute to closing the gap
between process mining and visual analytics. Finally, our implementations will be open-sourced, thus
providing additional value to professionals.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Progress and Outlook</title>
        <p>The research began in July 2023 with a deadline scheduled for June 2027. As noted above, we have
already provided a set of contributions to the first two objectives (Sec. 3). In the following year, we will
continue with a solution for spatial visualization (Sec. 3.1), and extend and finalize the contemporary
contribution of the second objective on semantic zoom (Sec. 3.2). We will also begin designing the
empirical studies of objective three (Sec. 3.3), so that we can finalize them by the end of 2026.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Open Challenges</title>
        <p>This research presents several risks and threats. First, the research problem is challenging, stretching
multiple areas in process mining. There is a risk in defining a thesis with a broad scope. To mitigate
this risk, we have narrowed the scope by focusing on layout arrangements and considering only time
and space as the two primary contextual aspects. We have also structured the objectives to build upon
one another, providing synergies and more cohesive results.</p>
        <p>Second, visual analytics ofers valuable tools and concepts that support this research. Process mining
and visual analytics are, however, both fields with distinct academic traditions and difering expectations
in terms of the type of contributions. Trying to balance the criteria of both fields is a challenging task,
as there is a risk of being "stuck in the middle." To date, we have primarily focused on the process
mining community as our target audience for this work.</p>
        <p>Finally, there is limited knowledge on analytical tasks in process visualization, making validation of
our artifacts challenging. We will therefore need to conduct comprehensive empirical studies, which
are resource- and time-intensive. Also, visualizing spatial attributes is challenging due to the limited
datasets that include these dimensions. Hence, we consider using the MIMIC-IV dataset [53], as it
contains spatial information, and generate new datasets with collaborators.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>The research of the author is supervised by Prof. Dr. Jan Mendling and further supported by the Einstein
Foundation Berlin under grant EPP-2019-524, by the German Federal Ministry of Research, Technology
and Space under grant 16DII133, and by the Deutsche Forschungsgemeinschaft under grants 496119880
(VisualMine), 531115272 (ProImpact), and 414984028 (FONDA).</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <sec id="sec-6-1">
        <title>The author has not employed any Generative AI tools.</title>
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