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    <journal-meta>
      <issn pub-type="ppub">1613-0073</issn>
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    <article-meta>
      <contrib-group>
        <contrib contrib-type="editor">
          <string-name>Neurosymbolic AI, Knowledge Graphs, Knowledge Infusion, Machine Learning</string-name>
        </contrib>
      </contrib-group>
      <abstract>
        <p>In recent years, machine learning (ML) methods have seen widespread adoption across various domains due to their ability to perform complex tasks with high accuracy. However, their applicability remains limited in certain critical fields, where the demand for reliable decision-making is crucial. Furthermore, the eficacy of ML models is often limited by data availability and quality, posing significant challenges especially in data-sensitive areas. Addressing these limitations, this thesis explores the integration of semantic knowledge through knowledge graphs to enhance the performance of ML models. Knowledge graphs, with their structured representation of domain-specific information, ofer a way to augment ML models with domain insights, improving their performance and potentially overcoming the issues of data scarcity. This research contributes to the field of Neurosymbolic AI and Semantic Web by not only demonstrating the feasibility and benefits of combining knowledge graphs with ML but also by ofering guidance on the efective construction and utilization of knowledge graphs for the purpose of ML enhancement.</p>
      </abstract>
    </article-meta>
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    <sec id="sec-1">
      <title>-</title>
      <p>CEUR
ceur-ws.org</p>
    </sec>
    <sec id="sec-2">
      <title>1. Problem Statement and Importance</title>
      <p>
        The application of artificial intelligence (AI) techniques across diverse fields has significantly
expanded the potential of Machine Learning (ML) models in addressing complex problems.
The third wave of AI, Neuro-symbolic (NeSy) AI [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], seeks to combine the adaptability of
sub-symbolic AI techniques, such as ML, with the logical structuring of symbolic AI, aiming
to address the limitations of traditional AI techniques [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ]. Central to this approach is the
incorporation of Knowledge Graphs (KGs), which organize intricate domain knowledge in a
structured format that ML models can utilize efectively.
      </p>
      <p>
        Despite the promising advancements brought by NeSy AI, several challenges remain prevalent.
ML models require large datasets for training, which can be sparse, of low quality, or biased,
particularly outside mainstream applications [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ]. This dependency on extensive and
highquality data represents a critical barrier, as acquiring adequate data is often not feasible.
      </p>
      <p>Considering these challenges, an emerging area of research focuses on knowledge infusion
into ML. In this thesis we explore how the infusion of KGs influence ML outcomes, especially
concerning accuracy, data sparsity, and data quality. Moreover, we also investigate how the
Proceedings of the Doctoral Consortium at ISWC 2024, co-located with the 23rd International Semantic Web Conference
(ISWC 2024)
nEvelop-O
quality, granularity, and relevance of KGs influence the improvement of ML models when these
KG are infused. To our knowledge, these dependencies have not been extensively investigated
previously. Addressing these issues entails refining the ways in which knowledge is represented
and utilized, ensuring that KGs not only supplement but also synergize with ML processes to
drive more accurate and reliable results.</p>
      <p>
        This research focuses on the settings where a supervised ML model is used for prediction
and investigates methods to enhance this through knowledge infusion. Illustrative use cases
examined include the prediction of heart disease using tabular data on patients and their clinical
features [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], as well as for prediction of kidney disease [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. These studies explore how the
accuracy of ML predictions can be improved by incorporating KGs, outlining the necessary
steps, such as the construction of a KG and its integration into ML workflows, as outlined in
Figure 1.
      </p>
      <p>Problem Importance This thesis tackles a significant challenge in ML by enhancing model
performance despite the constraints of insuficient or low-quality data. The main benefits of
this thesis are three fold. First, by integrating semantically rich knowledge from KGs into ML
pipelines, this thesis aims to reduce the reliance of ML models on large data sets, which is
particularly crucial in sensitive domains where data is scarce, such as medical domain. The
integration of KGs promises to improve decision-making processes, enhancing the accuracy
and reliability of ML applications. Second, this thesis advances the field of NeSy AI by exploring
efective methods and proposing an innovative approach to use KG insights into ML pipelines,
thus enriching both the research community and practical applications. Third, the findings of
this thesis are also beneficial for KG engineers, providing them with detailed insights on the
characteristics that KGs should possess to optimally support ML models.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Related Work</title>
      <p>
        The broadest area related to this research is the integration of sybmbolic and sub-symbolic AI,
known as neurosymbolic AI. This integration combines reasoning with data-driven learning,
significantly advancing AI capabilities. As outlined by Henry Kautz [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] there are several methods
for integrating these techniques, each ofering unique benefits for combining symbolic reasoning
with neural networks. Sheth et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] further diferentiate three levels of knowledge infusion
into neural models: shallow, semi-deep, and deep. Shallow infusion introduces syntactic and
symbolic knowledge at the input level, semi-deep at intermediate layers, and deep infusion
embeds knowledge directly within the neural network, fostering deeper interactions between
knowledge and learning processes. Dash et al. [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] reviewed various techniques that include
domain knowledge into deep neural networks. They emphasize the transformative impact of
such knowledge integration across three main aspects of neural network: the input data, the
loss function, and the network architecture (including the structure or the parameters).
      </p>
      <p>
        Within the broader scope of NeSy described earlier, one specific focus is the integration of
semantic knowledge into ML pipelines. Examples of such successful integration are as follows.
Knowledge-based artificial neural networks (KBANN) [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] integrate symbolic knowledge into
neural networks by encoding initial knowledge as rules into the network architecture. This
approach provides a structured starting point for learning, allowing the network to refine
and adapt the knowledge during training, leading to improved generalization and learning
performance. In opinion mining Alfrjani et al. [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], used semantic feature to enhance data
classification accuracy. Similarly, Ziegler et al. [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] enhanced neural networks for fraud detection
by using graph embeddings to inject semantic knowledge, illustrating improved classification
outcomes. Gazzotti et al. [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] tackled sparse data in electronic medical records by
augmenting features with ontological resources, showing potential in improving predictive analytics.
For image classification, [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] presents the Graph Search Neural Network, a framework that
integrates large knowledge graphs into classification pipelines. This approach uses structured
knowledge of object traits and relationships to boost reasoning about visual concepts with
fewer examples. The findings show that knowledge graphs substantially improve multi-label
classification, outperforming standard neural network baselines.
      </p>
      <p>
        Besides the use of semantic knowledge to augment the input of the ML pipeline, there have
been successful eforts to incorporate domain knowledge into the loss functions and weights of
neural networks [
        <xref ref-type="bibr" rid="ref16 ref17 ref18">16, 17, 18, 19</xref>
        ]. We aim to explore further methods for leveraging knowledge
from semantic structures such as knowledge graphs.
      </p>
      <p>These examples underline the diverse applications and potential of semantic structures in
enhancing machine learning, setting a precedent for our research. However, there are only a
limited number of approaches of KG based infusion. Additionally, there is minimal empirical
evidence on how KG characteristics influence this integration.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Research Questions and Contributions</title>
      <p>In this thesis, we will focus on the use of the KGs to enhance the predictions of the ML
models. We aim to investigate the following overall research question: How to efectively
and eficiently infuse KG into ML pipeline? In particular, we will investigate the following
sub-research questions:</p>
      <p>RQ1: What are the approaches to infuse KGs into ML pipelines? Understanding the approaches
to infuse KGs into ML pipelines is crucial, as KGs provide contextualized and structured
information that can potentially enhance ML models. The explicit representation of knowledge
in KGs enables more informed feature engineering, helps in data preprocessing, and can be
used for better interpretation of model outcomes. To address this question, we aim to explore
various ways to leverage KGs for enhancing the predicting performance of ML methods and
introduce a novel approach. Our focus will be on identifying the most efective ways to integrate
KGs into various parts of the ML pipeline, in order to improve the performance of ML models.
The contribution of addressing this question is to identify and categorize various methods to
leverage KGs efectively, thereby proposing an innovative approach to enhance ML workflows.
This framework could serve as a guideline for practitioners and researchers to optimize the
performance of their ML systems using KGs.</p>
      <p>RQ2: To what extent does the infusion of KGs into ML pipelines impact model performance?
Assessing the impact of KG infusion is critical to validate the theoretical benefits of KGs and
understand their efectiveness in real-world applications. A key focus of our investigation will be
to explore whether integrating KGs can enhance the ML performance in terms of accuracy and
F-measures, compared to the baseline when no KG is used. Additionally, we aim to address the
data-dependency problem inherent in ML models, enabling efective learning with fewer data by
incorporating semantically rich, structured knowledge. The investigation of this question will
empirically evaluate the performance changes in ML models with KG infusion across various
use cases. This provides evidence-based insights into the advantages and possible limitations of
KG integration, enabling more informed decisions in the development of ML models.</p>
      <p>RQ3: How do the characteristics of KGs influence the performance of ML models? It is important
to explore how specific KG characteristics, such as size and modeling techniques, afect ML
model performance in order to guide the design of more efective KGs tailored to enhance
specific ML tasks. This question is critical within the field of knowledge engineering, as it
informs the development of optimized KGs tailored for integration into NeSy systems. By
understanding the specific characteristics that contribute to performance improvements, we
can design more efective and meaningful KGs suited for advanced ML applications. Exploring
this question contributes by developing novel metrics or requirements for KGs to ensure their
optimal infusion into ML models. This research could lead to a set of best practices for KG
construction and refinement specifically aimed at enhancing ML applications.</p>
    </sec>
    <sec id="sec-5">
      <title>4. Research Methods</title>
      <p>In this thesis, we will adopt the Design Science methodology [20] to systematically develop
and evaluate artifacts that infuse knowledge from KG into various steps of ML pipeline. In the
following we show how we will address each cycles.</p>
      <p>Relevance Cycle This cycle connects the research to the real-world by identifying the
practical problems that the artifacts aim to solve and demonstrating the artifacts’ impact in a
real application setting. In our case, the relevance cycle involves engaging with stakeholders in
the ML and semantic web communities to identify key challenges in integrating KGs with ML
models, using methods such as literature study. We will collaborate with industry professionals
and academic peers to ensure that our solutions are applicable and address significant needs.
Design Cycle We will design approaches that integrate KG data into ML systems, addressing
our first research question (RQ1) which focuses on diferent ways of knowledge infusion. Our
current investigation explores the infusion of KG embeddings as part of the input to the ML
model, augmenting tabular data with semantics from KGs constructed using instances from
the same dataset. Moreover, we will assess the impact of these integrations, and evaluate the
enhancement of ML models to demonstrate how KGs can enhance ML model performance,
directly tackling our second research question (RQ2). Currently we are focusing in medical
domain, for heart and kidney disease prediction. Lastly, we will evaluate how diferent
characteristics of the KGs influence ML methods’ improvement, thus answering our third research
question (RQ3).</p>
      <p>To evaluate the research questions, the improvements of ML methods and the impact of
KGs, we will compare the baseline when no additional knowledge is being used, with diferent
infusion methods. We will measure accuracy and F-scores as evaluation metrics. Accuracy
reflects the proportion of correct predictions, while the F-score, a combination of precision
and recall, provides a balanced measure of a model’s precision and its ability to identify all
relevant instances. The choice for F-score is particularly crucial in fields such as medicine
where the consequences of false negatives or positives are significant, making the F-score a
more comprehensive indicator of model performance than accuracy alone.</p>
      <p>
        Preliminary Results In our previous work [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] we introduced methods for integrating KGs into
ML pipelines, specifically using KG embeddings with tabular data to improve algorithms for
predicting heart disease. We conducted a comparative analysis of diferent methods for merging
KGs with tabular datasets and used two embedding algorithms to enhance KG representation. In
[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], we formalized these approaches, introduced a new variation, and extended our experiments
to include the prediction of chronic kidney disease. Our results for heart disease prediction in
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] showed improvements in accuracy and F2 score, with the accuracy of the Feed-Forward
Neural Network increasing from 82% to 85% and the F2 score for the K-Nearest Neighbors
model improving from 71% to 80%. This is a step into the direction of answering RQ1 and RQ2.
Preliminary findings also indicate that the size and modeling techniques of KGs impact ML
algorithm performance, with addressing RQ3.
      </p>
      <p>Rigor Cycle We will ensure the rigor cycle by incorporating knowledge from existing
literature and theoretical foundations in the fields of ML and KGs. Our approach will also utilize
established methodologies and frameworks from previous research to guide the design and
evaluation processes. Throughout the thesis, we will maintain a rigorous scientific approach,
using well-defined metrics and evaluation methods to ensure that our findings are valid, reliable,
and reproducible.</p>
      <p>The planned work for this thesis is depicted in Figure 1, outlining our structured approach to
explore, implement, and evaluate the proposed enhancements.</p>
    </sec>
    <sec id="sec-6">
      <title>5. Reflection and Future Work</title>
      <p>This thesis aims to contribute in the Neuro-Symbolic AI field by exploring methods to integrate
knowledge from knowledge graphs into the machine learning pipeline, aiming to enhance
their performance. Additionally, this thesis contributes in the knowledge engineering area, by
identifying characteristics and modeling techniques for knowledge graphs, making them more
efective for the purpose of enhancing machine learning methods in prediction.</p>
      <p>
        As illustrated in Figure 2, I started my PhD in July 2022, initially focusing on familiarizing
myself with the field and identifying research gaps. Until now, I have developed essential
research skills, participated in PhD courses as part of my curriculum, and engaged in teaching
activities. Additionally, I have co-authored several papers in the neuro-symbolic area, enhancing
my understanding and expertise in this field. Moreover, I have contributed to publications and
presented preliminary findings on RQ1, RQ2, and RQ3 at the Airov Workshop [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], and most
recently, submitted a paper to the NeSy conference [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Moving forward, our plan is as follows:
• Short-term (Now - End of 2024): We aim to focus on RQ1 and RQ2 by conducting extensive
evaluations of the methods proposed for infusing KG embeddings to augment data. This
phase will include investigating other domains beyond the medical field and exploring
additional machine learning and embedding methodologies. Moreover, we plan to
investigate whether the infusion of KGs can help address the data-dependency problem
in machine learning. The findings from these studies are targeted for submission to a
prominent journal.
• Mid-term (Early 2025): We plan to address RQ3 by proposing novel evaluation metrics and
characteristics of KGs that enhance ML methods, aiming for publication at a knowledge
engineering conference. This work will also examine other ways to integrate semantic
knowledge into the diferent parts of the ML pipeline.
• Long-term (2025 - Mid 2026): The final phase of our research will involve further
conferences and journal publications to solidify our contributions and expand the applicability
of our findings. This will lead to the completion of my dissertation by mid-2026.
      </p>
    </sec>
    <sec id="sec-7">
      <title>6. Acknowledgments</title>
      <p>I would like to thank my supervisors, Prof. Marta Sabou and Asst. Prof. Fajar J. Ekaputra
for their valuable advises, expert insights and guidance. The work presented in this paper is
supported by the FWF HOnEst project (No. V 745-N).
[19] H. Wang, F. Zhang, M. Zhang, J. Leskovec, M. Zhao, W. Li, Z. Wang, Knowledge-aware
graph neural networks with label smoothness regularization for recommender systems, in:
Proceedings of the 25th ACM SIGKDD international conference on knowledge discovery
&amp; data mining, 2019, pp. 968–977.
[20] A. R. Hevner, S. T. March, J. Park, S. Ram, Design science in information systems research,
MIS quarterly (2004) 75–105.</p>
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