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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Can Reduction of Bias Decrease the Need for Explainability? Working with Simplified Models to Understand Complexity</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pedro M. Marques</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Univ Coimbra, CeBER, Faculty of Economics</institution>
          ,
          <addr-line>Av Dias da Silva 165, 3004-512 Coimbra</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The research delves into the complexity of data analysis models, emphasizing the critical need for explainability, especially in AI-driven sectors. It aims to investigate the impact of bias reduction on explainability and explores how simplified models can be used to provide functionally equivalent results while being easier to understand and accept. By integrating statistical techniques and bias reduction methods, we expect to increase the acceptability of the models by lessening the fear of biased outcomes. Through quantitative and qualitative analysis, it evaluates the efectiveness of simplification techniques in promoting transparency and comprehension. Stakeholder involvement and ethical understanding are central to this approach. The research intends to contribute transparency in data analysis, addressing critical societal challenges.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Bias</kwd>
        <kwd>Explainability</kwd>
        <kwd>Simplified models</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Research Context and Motivation</title>
      <p>The research addresses the complexity of data analysis models, with a focus on enhancing
their explainability. This need for explainability is crucial as AI systems become more precise
and are used in critical societal sectors, where understanding their decision-making process is
essential for ethical considerations. The study explores two key aspects: first, whether reducing
bias in models can diminish the need for explainability; and second, how simplified models
can enhance the understanding of complex models. The goal is to integrate these aspects to
improve transparency and understanding in complex systems, contributing to technological
advancement.</p>
      <p>
        The reduction of bias is crucial for ensuring fairness and justice in complex data analysis
systems [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Studies have shown that reducing bias can lead to more intuitive and predictive
models, thereby reducing the need for extensive explanations [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. This suggests that less biased
models can alleviate the burden of providing detailed justifications in situations where fairness is
warranted. Additionally, the use of simplified models has been proposed to address the inherent
complexity of advanced AI models [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Simplified models enhance interpretability, making them
more accessible to non-specialized professionals and stakeholders, thereby contributing to user
confidence and acceptability.
      </p>
      <p>
        Integrating the reduction of bias and the use of simplified models as complementary strategies
can improve transparency and understanding in complex systems [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. It is important to recognize
that bias is not exclusive to machine learning but exists in other data analysis techniques as
well [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Simplicity, explainability, and bias are relevant concepts across diferent levels of data
analysis. Each context may require diferent explanations and interpretations, highlighting the
importance of explainability. [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] stresses the importance of combating biases in data systems
to ensure fairness and accuracy. Similarly, [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] emphasizes the need for explainability to make
system decisions comprehensible. These measures aim to promote social justice and equality,
necessitating a multidisciplinary approach to achieve these objectives.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Key related work that frames the research</title>
      <p>
        This paper utilizes several research elements from the articles cited later where aspects of
technology adoption, AI bias, model simplification, and validation of predictive models. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
provides an overview of technology adoption models, crucial for understanding user acceptance
of technologies in academic and business contexts. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] explore prejudice and discrimination in
AI, emphasizing interdisciplinary collaboration for efective solutions. [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] investigate model
complexity and performance, demonstrating the ability of simplified models to capture
ecosystem characteristics, emphasizing the importance of key processes. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] assess the methodological
quality of external validation studies of forecasting models, revealing poor communication, and
handling practices that can hinder their use. Finally, [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] examine the efects of bias reduction
on treatment efect estimates, challenging the assumptions of standard selection models and
revealing complexities in bias reduction methods.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Specific research questions, hypothesis, and objectives</title>
      <sec id="sec-3-1">
        <title>3.1. What influence does the reduction of bias have on the need to explain the results obtained?</title>
        <p>
          Mitigating bias in data analysis can lead to more robust outcomes and reduce the need for
clarification of underlying processes [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. Researchers emphasize the importance of minimizing
bias in scientific research to ensure the reliability of results. Ethical considerations require
researchers to acknowledge study limitations and potential sources of bias. By reducing bias,
models can be seen as more transparent and easier to understand, minimizing the efort required
for interpretation [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. The research aims to demonstrate the absence or reduction of bias in
specific models, validating the reliability of results despite inherent complexity. Large data
volumes do not guarantee representativeness or the absence of bias, as they may still retain
biases that afect model precision [
          <xref ref-type="bibr" rid="ref10 ref12">12, 10</xref>
          ]. Therefore, models should be designed or improved
to show the absence or reduction of specific types of bias.
        </p>
        <p>There are various ways by which bias can be present in a data analysis approach, whether
statistical or ML-based. Among the types of bias we propose to analyze in this study, (which
may vary depending on the context) we may consider: 1) Algorithmic bias; 2) Sample Bias; 3)
Measurement bias; 4) Exclusion bias; 5) Selection bias; 6) Recall bias.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. How can simplified models contribute to a better understanding and explainability in contexts where complex models are used?</title>
        <p>The underlying hypothesis is that integrating simplified models results alongside complex
models can be efective and make explainability more accessible. It is assumed that simplifying
models can provide more comprehensible insights into the decisions made by the decision-maker
relative to complex models, facilitating interpretation and increasing confidence in predictions.</p>
        <p>
          Expanding explanations related to these models can increase acceptance of results and
enhance confidence in decision-making. By demonstrating how simplified models represent
the workings of general models, reliability and confidence in decisions can be bolstered [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ].
        </p>
        <p>The objectives defined for the study are: Develop Simplified Models: Create simplified
models that concisely and accessibly represent the essential characteristics of the complex
models used; Analysing the Reliability of Results: To compare the reliability and accuracy
of the results obtained by models subjected to bias reduction processes with those obtained
by conventional models; Evaluation of the Need for Explainability: Analyse whether the
absence/reduction of particular kinds of bias is correlated with a reduction in the need for
additional explainability techniques; Identifying Correlations between Bias and Explainability:
Investigating whether there is a correlation between the presence of bias and the need to make
models more explainable, seeking to understand how the perception of bias can influence this
relationship. The work addresses the challenge of understanding models with many variables.
It suggests the creation of simplified cases to elucidate model behaviour. Simplified models
with fewer variables may present higher bias but can explain decisions efectively. The research
explores how including simplified models can improve the explainability of complex models,
making their decisions more transparent to stakeholders.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Research approach, methods, and rationale for testing the research hypothesis</title>
      <p>
        With data-driven technological models significantly impacting our daily lives and influencing
various critical aspects of society, we live through a crucial moment in human history. As [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ],
point out, business analytics involves three phases: describing, predicting, and prescribing to
make data-driven decisions, considering both normative and descriptive approaches.
As technologies such as AI increase in complexity, so does the need for regulation. Various
legislation emphasising AI systems’ transparency, explainability and safety regulate the
development and use of AI. The European Parliament’s Artificial Intelligence Regulation [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]
proposes that high-risk AI systems must be transparent, understandable, and explainable to
suppliers and users, promoting trust and responsibility. Executive Order 14.110 of the United
States [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] addresses security, privacy, transparency, and impact on the use of AI, emphasising
the mitigation of bias and the need for interagency coordination. GDPR [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] is the mechanism
proposed by the European Union to protect citizens’ personal data. It requires clear
explanations of AI decisions, mandatory informed consent, data minimisation, and security through
encryption and anonymisation. These regulations aim to ensure that AI is developed and used
ethically and responsibly, maximising benefits and minimising risks. The explainability of AI is
crucial to understanding its decision-making processes, be it deterministic or probabilistic, as
stated by [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ].
      </p>
      <p>
        To select the most suitable simplification method for an AI model, various factors such as
interpretability, performance, robustness, scalability, acceptability, and transparency must be
considered. For example, [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] emphasizes balancing interpretability with performance to
maintain user confidence. Also, in [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], techniques are discussed that preserve robustness and
generalizability across diferent datasets. Strategies for scalable simplification methods handling
large datasets are analyzed in [20]. The importance of user acceptability and trust is highlighted
by [21], who discuss approaches that enhance transparency and explainability. Additionally,
[22] addresses algorithm bias, stressing the need for practical and accessible explainability,
while [23] underlines the ethical considerations in ensuring transparency through simplification
methods.
      </p>
      <p>
        When simplifying a complex model, it’s crucial to consider performance metrics, interpretability,
robustness, and bias reduction. [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] discusses performance metrics for evaluating simplified
models, emphasizing the need to preserve relevant information. [20] highlights the importance
of ensuring that simplified models remain interpretable for users. The robustness of simplified
models against biases and the ethics of their decisions are covered by [22]. [20] also stresses the
need to assess the generalizability and acceptability of simplified models, which are key to the
validation process. According to [23], transparency evaluation requires collaboration between
developers and researchers to build confidence in the model’s predictions. Reducing bias and
promoting fairness in decisions through simplification are supported by [ 24]. It is essential to
balance accuracy, reliability, interpretability, and eficiency when simplifying complex models,
as highlighted by [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. This involves comparing the performance of simplified models with the
original ones to ensure minimal accuracy loss. Careful feature selection, external validation, and
stakeholder involvement are recommended to mitigate accuracy loss, according to [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Lastly,
[25] warns that large data volumes don’t guarantee representativeness or absence of bias, while
[26] discusses how sparsity constraints can afect accuracy during complexity reduction. To
enhance interpretability and applicability, approaches like sparsity and feature selection are key
to reducing complexity without compromising accuracy. To improve the interpretability and
applicability of ML techniques in various domains, it is necessary to assess the extent to which
models can be simplified, and it is essential to consider approaches such as sparsity and feature
selection, which play a key role in reducing complexity without compromising accuracy.
Considering sparsity is a widely used technique that aims to reduce the number of active
parameters in the model, making it simpler [27]. Through methods such as L1 regularisation
(lasso), it is possible to promote simplification of the model while maintaining its efectiveness
in the task at hand [28]. Feature selection is another important strategy that can be applied for
simplifying complex models. By choosing only the most relevant features for the ML task, it is
possible to reduce the dimensionality of the model and make it easier to interpret the results.
Methods such as feature importance analysis and recursive feature elimination are commonly
used to identify and select the most significant features [ 29] Finding the right balance between
interpretability and model performance is crucial. Oversimplification can lead to significant
losses in accuracy, while excessive complexity can make it dificult to interpret the results,
according to [30]. Therefore, constantly evaluating the balance between interpretability and
performance is key to ensuring that the simplified model keeps its efectiveness in reducing
bias and making decisions [30]. Integrating model simplification and explainability in AI is
crucial for building trust in AI systems. According to [28], transparency and understandability
are essential for users to trust automated decisions, especially in critical sectors like health,
ifnance, and justice, where decisions have significant impacts. Simplifying complex models
makes AI more accessible and understandable, enabling users to grasp how algorithms work
and the rationale behind predictions. Explainability provides insights into decision-making,
as noted by [28], allowing for a more informed assessment of AI recommendations. Reducing
bias and discrimination through simplification and explanation is vital for ensuring fairness
in AI decisions, as highlighted by [31]. Regular audits may be needed to identify and correct
biases in AI explanations, preventing manipulative use and promoting fairness. Mathematical
techniques to mitigate bias, as discussed by [32], are important for improving model accuracy
and generalizability. Various strategies have been proposed to reduce bias, with [32]
emphasizing the importance of systematic approaches involving hypothesis formulation, data collection,
statistical analysis, and continuous improvement. Scientific integrity, as noted by [ 33], is key to
ensuring reliable conclusions in bias mitigation eforts.
      </p>
      <p>The bias can be multifaceted, as can be the tools to manage it. The aim is, therefore, to use an
“ensemble” approach to bias reduction, which involves integrating methods to build a model
that minimises unwanted bias characteristics. This technique involves combining and applying
individual methods, such as resampling and weight adjustment, and evaluating the performance
of each method before making a weighted combination. According to [30] ensemble methods,
which combine multiple models to improve the accuracy and stability of forecasts, can simplify
interpretation by providing a more robust view of the problem. However, the use of ensemble
methods can increase computational complexity and require more processing resources. The
approach is intended to be iterative, adjusting parameters and weightings to optimise
efectiveness, while continuous ethical evaluation is essential to ensure the fairness of the resulting
model. Thus, the efectiveness of this approach depends on the careful selection of individual
methods and their constant adaptation to respond to the specifics of the data analysis scenario.
The method adopted will integrate statistical and mathematical techniques to improve the
models, ensuring they produce the desired results and are faithful to the original models. In
addition, validation methods will be used, such as the root mean square error (RMSE), the
coeficient of determination (R ²) and the Mann-Whitney U-test. In the context of increasing
explainability, explanatory methods can be used, such as LIME (Local Interpretable Model-agnostic
Explanations), which is a post-hoc interpretability technique that explains the predictions of
complex models using simple local models, as presented in [34]. The SHAP Technique (SHapley
Additive exPlanations), based on game theory that assigns importance values to each input
feature to explain the predictions of the models [34]. We can also use decision trees as inherently
interpretable ML models that can be used to simplify the decision logic of complex models [22].
Linear regression is also a simple and interpretable model often used to simplify the relationship
between input and output variables in complex models [22].</p>
      <p>As a complement to understanding the models, model visualisation techniques can also be
used, such as decision tree graphs, which show the decision rules adopted by the model; partial
dependency graphs, which illustrate the relationship between a specific variable and the model’s
prediction; and heatmaps, which show the relative importance of each variable in the model’s
prediction.</p>
      <p>The proposed research consists of a quantitative and a qualitative phase. In the quantitative
phase, mathematical models are investigated, while in the qualitative phase, methodologies are
used to help decision-makers understand existing biases, as highlighted by [35] and [20]. This
approach acknowledges the need for decision-makers to make informed choices, even when
biases are present in models. It’s important to note that the presence of bias does not
automatically correlate with the model’s utility or the degree to which the bias is decisive. Bias afects
the model’s outcomes without necessarily impacting decision-maker utility. Describing bias is
easier than assessing its utility since utility assessments are inherently subjective. Therefore,
care should be taken when discussing the favourability or unfavourability of a bias-reduced
model, as it suggests a relationship between bias and utility. A qualitative analysis should be
conducted to evaluate the acceptability of models with reduced bias.</p>
      <p>
        To operationalise this analysis, adoption models are suggested. To use Technology Adoption
Models (TAM), such as Rogers’ Difusion of Innovations Model and the Unified Theory of
Acceptance and Utilisation of Technology (UTAUT) in research, it is necessary to consider the
scope and objectives of the research [36].The research proposes using TAM and UTAUT to
validate whether decision-makers will be willing to accept the simplified models’ results as a
general description of how the complex model works. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] presents a wide range of models and
warns of the need for careful identification of the key variables and the proposed questions
(e.g. “Perceived Usefulness” or “Ease of Use”), carried out through the theoretical models, which
inform the methodological design of the research, and the data collected by questionnaire. The
data will be analysed and interpreted considering the principles of TAM and UTAUT. This
research aims to address societal challenges by promoting transparency in data analysis by
ofering a path to informed decision-making and accountability. It intends to ofer a sound
theoretical framework for assessing the acceptance and utilisation of technology, including
how users perceive and adopt the results of artificial intelligence models. As discussed by
[20], transparency in data analysis is key to promoting trust and understanding of the results
generated by those models.
      </p>
    </sec>
    <sec id="sec-5">
      <title>5. Expected next steps</title>
      <p>The use of simplified models alongside complex models can be a valuable strategy for improving
understanding in complex contexts. Simplification techniques, such as reducing
dimensionality, facilitate human interpretation and allow more efective identification and mitigation of
bias. To address research gaps, specific simplification techniques should be investigated. The
interpretability of complex and simplified models in diferent domains should be compared.
Operationalization involves the careful selection of complex models, the precise definition of
simplification criteria, and the development of interpretability metrics for objective assessment.
This research can contribute to the understanding of complex models and simplification
techniques and provide practical guidance for researchers and practitioners in several domains,
but our focus will be particularly business and finance, where interpretability is critical for
decision-making.</p>
      <p>In addition, we expect that the creation of practical tools and resources, guided by the
active participation of users, will enable the eficient implementation of these techniques in
practice. Continuous feedback from users, combined with the systematic publication of results
in specialized scientific forums, will foster the dissemination of knowledge and contribute to
the ongoing evolution of this area of research.
[20] V. Chamola, V. Hassija, A. R. Sulthana, D. Ghosh, D. Dhingra, B. Sikdar, A review of trustworthy
and explainable artificial intelligence (xai), IEEE Access 11 (2023) 78994–79015.
[21] T. Lazebnik, S. Bunimovich-Mendrazitsky, A. Rosenfeld, An algorithm to optimize explainability
using feature ensembles, Applied Intelligence 54 (2024) 2248–2260.
[22] G. M. Johnson, Algorithmic bias: on the implicit biases of social technology, Synthese 198 (2021)
9941–9961.
[23] J. S. de Souza, J. M. Abe, L. A. de Lima, N. A. de Souza, The brazilian law on personal data protection,</p>
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