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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Enhancing Decision Making through Similarity-Driven Knowledge Integration in Resource Allocation and Content Matching</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Lasal Jayawardena</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Robert Gordon University</institution>
          ,
          <addr-line>Garthdee House, Garthdee Road, Aberdeen AB10 7AQ</addr-line>
          ,
          <country country="UK">United Kingdom</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>This research aims to build a novel framework that enhances decision-making through an integration of similaritydriven Case-Based Reasoning (CBR) with advanced Large Language Model (LLM) techniques via RetrievalAugmented Generation (RAG) and Genetic Algorithm (GA) optimisation. Currently, experimental work focuses on refining the loss function components to tune angle-optimised embedding models using both semi-supervised and unsupervised approaches. In parallel, experiments are being conducted to fine-tune LLMs as baselines for evaluation and to determine the best way to use LLMs as evaluative judges. Preliminary data analysis and enrichment have been conducted on operational datasets (e.g., WM Nicol company records). The final goal is to advance the state-of-the-art in CBR methods while providing a robust foundation for adaptive, context-aware decision support across multiple domains.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Case-Based Reasoning</kwd>
        <kwd>Large Language Models</kwd>
        <kwd>Retrieval Augmented Generation</kwd>
        <kwd>Genetic Algorithms</kwd>
        <kwd>Embedding Models</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Decision support systems play a crucial role in managing complex, dynamic environments where
historical knowledge must be efectively integrated with real-time data. Natural Language Generation
(NLG) has become a cornerstone of many modern applications, driven by advances in LLMs [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However,
challenges remain in generating responses that are both accurate and contextually relevant—especially
in knowledge-intensive domains where precision and reliability are critical [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ]. In response, the
integration of RAG with similarity-driven self-supervised metric learning ofers a promising solution.
By retrieving relevant information from vast datasets before text generation, RAG systems ground
the generated content in factual data [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], while self-supervised metric learning enables models to
understand and leverage semantic similarities more efectively.
      </p>
      <p>In practical applications such as resource allocation and planning, organisations struggle to eficiently
match resources (e.g., vehicles, personnel, equipment) to tasks under constraints like maintenance
schedules, certifications, legislative requirements, and unexpected disruptions. By integrating similarity
measures and leveraging past-case knowledge, the research seeks to develop AI-driven planning tools
that allocate resources optimally and potentially use Genetic Algorithms for further optimisation.
Similarly, in the career development domain, it is crucial to accurately match candidate profiles with
job requirements and ofer personalised upskilling recommendations. Integrating CBR with LLMs and
RAG, guided by sophisticated similarity metrics and knowledge exploitation, ofers promising avenues
for improving the retrieval and adaptation of unstructured content such as CVs and historical hiring
data.</p>
      <p>
        Integrating CBR with LLMs presents unique opportunities and challenges [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Although LLMs excel
in language understanding, their responses often lack traceability and accountability, a gap that can be
bridged by embedding the structured retrieval processes of CBR into the RAG framework. Approaches
such as Hybrid CBR-RAG [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] merge the strengths of both paradigms, organising the retrieval process
to match cases to queries more efectively through various similarity metrics. This integration not only
enhances the contextual relevance and factual accuracy of LLM outputs but also holds potential to
improve performance on knowledge-intensive tasks.
      </p>
      <p>
        In addition to enhancing retrieval for Retrieval-Augmented Generation, there is a fundamental issue of
grounding, ensuring that abstract representations within the system correspond accurately to real-world
cases and constraints. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] distinguish five dimensions of grounding—sensorimotor, communicative,
epistemic, relational, and, most critically, referential grounding, which links each symbol or embedding
directly to its denoted concept. Referential grounding is essential for unifying similarity driven
CaseBased Reasoning with LLM-based RAG and genetic-algorithm optimisation, as it guarantees consistent
semantics across retrieved cases, generated text, and fitness evaluations. Moreover, [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] highlight several
complementary techniques, such as constrained decoding to anchor outputs in verified information,
automated guardrails and NLI-based checks, domain specific corpus tuning, and iterative revision loops
that augment pure RAG, reducing hallucinations and improving accountability and interpretability. By
combining RAG with these additional grounding strategies, this can provide transparent generation
and optimisation in both resource allocation and content-matching domains.
      </p>
      <p>Research Aim: This research aims to address these challenges by developing enhanced techniques
for RAG and self-supervised metric learning and integrating similarity knowledge to optimisation
algorithms like GAs, thereby improving the accuracy and reliability of NLG systems across various
complex domains</p>
    </sec>
    <sec id="sec-2">
      <title>2. Research Plan</title>
      <sec id="sec-2-1">
        <title>2.1. Research Objectives</title>
        <p>
          The primary aims are to:
• Develop a scalable CBR system that accurately retrieves and adapts historical cases using refined
similarity metrics.
• Integrate LLM-based RAG to generate decision support outputs that are verifiably anchored in
past cases.
• Experiment with novel loss function formulations for such as angle-optimised contrastive learning
[
          <xref ref-type="bibr" rid="ref9">9</xref>
          ] and Matryoshka representation learning [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ], leveraging both semi-supervised and
unsupervised approaches.
• Incorporate Genetic Algorithms with similarity-informed fitness evaluations to optimise
scheduling and resource allocation.
• Explore the use of LLMs as evaluative judges to continuously assess and improve the generated
responses.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Approach / Methodology</title>
        <p>The methodology is planned to be built around a multi-agent system composed of three core modules:
1. CBR Module:
2. LLM-RAG Module:
• Case Repository: Creation and curation of an annotated database of historical cases.
• Attribute Extraction and Similarity Embedding: Leveraging advanced LLMs to extract relevant
information from various data sources and leverage self-supervised learning to be able to
create contextual embeddings on local(attribute-level) and global levels.
• Retrieval Process: Generating context-sensitive queries from extracted metadata, followed
by retrieval of relevant cases.
• Generation Process: Synthesising candidate answers by augmenting LLM outputs with
grounded data from the case repository.
3. Optimisation and Evaluation Module:</p>
        <p>under complex constraints.
• Genetic Algorithm Optimisation: Implementing GAs to select and refine candidate decisions
• LLM Judges: Deploying LLMs as evaluative agents that provide a score for each generated
response, thereby capturing the possible need for further revision or improvement.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Initial Experiments on Embedding Fine-Tuning</title>
      <p>
        One of our initial experimental focus is to identify the bottlenecks and potential opportunities for
improving embedding models. As part of these considerations, we draw upon the contributions of [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ],
who introduced a composite loss function comprising three objectives:
 = 1 ( , ) + 2 −
where
︃(
⏟

∑︁ log
=1
exp(︀ 

()/ )︀
inb⏞
exp(︀ 
()

/ )︀ + ∑︀̸= exp(︀ 

(,)/ )︀
( , ) = log 1 + ∑︁ exp(︀ ( − )/ )︀ ︁) ,
︁(
)︃
+ 3 (︀ ′ , ′)︀ (1)
on each half of the split embedding vector that conceptualises the angle formulation.
and  = cos(, ),  = cos(,  ), while ′ and ′ denote the cosine similarities computed
      </p>
      <p>
        Here,  is a temperature scalar, and each weight  is selected via grid search under both
semisupervised and unsupervised regimes. In preliminary experiments, fine-tuning with this composite
loss function demonstrated robust stability in weighted retrieval: the variation in performance across
diferent weighted retrieval settings was substantially lower than for other embedding models. We
evaluated the experiments against the AnglE-BERT model [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and the Vanilla BERT model [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], where
our approach achieved a notable improvement in Recall@K with much higher stability.
      </p>
      <p>
        Parallel to this loss function experimentation, we are also evaluating alternative loss formulations
in both semi-supervised and unsupervised modes to determine the optimal configuration for training
similarity embedding. These experiments are critical for identifying the best methodology to harmonise
the CBR components with modern LLM techniques across diferent domains [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Progress Summary</title>
      <p>
        Notable progress has been made since the start of the PHD:
• Industry Operational Data Gathering and Enrichment: Gathered data from WM Nicol,
which is a trucking company, and this data captures operational insights that could be used to
predict potential new job requirements such as time constraints and resource constraints based
on similar past jobs. For now, I have completed data cleaning and preliminary data analysis.
• Contrastive Loss Experiments: Currently testing various contrastive loss formulations,
including multi-level approaches inspired by angle-optimised and Matryoshka learning techniques, to
ifne-tune embedding representations by extending prior work of Sri Lanka QA context [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
• LLM Fine-Tuning and Evaluation: Establishing fine-tuned LLMs as baseline comparators for
QA so that it could be compared with the LLM-RAG Module to see performance gains and factual
correctness through LLM-as-a-Judge methods [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
• Paper Acceptance: Work done on LLM-based evaluation and its role in revision knowledge
capture has been accepted for presentation at ICCBR 2025, which efectively identifies when
explanation strategies require revision in Isee [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
      </p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion and Future Work</title>
      <p>This research aims to introduce a comprehensive framework that integrates similarity-driven CBR
with advanced LLMs to enhance decision support systems. Current progress includes successful data
enrichment, contrastive loss experiments, the initial fine-tuning of LLMs as baselines for QA, and
identifying methodologies for LLM-as-a-Judge to capture revision needs.</p>
      <p>Looking ahead, future work will focus on constructing the case repository using WM Nicol’s
operational data, and extending this repository across additional domains to evaluate the framework’s
generalisability. Further exploration will focus on enhancing multi-level embedding approaches to
capture nuanced, context-aware similarities more efectively. Additionally, the integration of Genetic
Algorithms will be evaluated to better manage the optimisation of resource allocation under varying
constraints. These eforts are expected to contribute to the development of more reliable and transparent
decision support systems, ultimately fostering higher levels of user trust and accountability in real-world
scenarios.</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the author used ChatGPT for the purpose of: grammar and spelling
check, paraphrase and reword. After using this tool, the author reviewed and edited the content as
needed and takes full responsibility for the publication’s content.</p>
    </sec>
  </body>
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