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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>SHAP-based explanations to improve classification systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Andrea Apicella</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>Salvatore Giugliano</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>Francesco Isgrò</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>Roberto Prevete</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>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Electrical Engineering and Information Technology, University of Naples Federico II</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Laboratory of Artificial Intelligence, Privacy &amp; Applications, AIPA Lab</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Laboratory of Augmented Reality for Health Monitoring</institution>
          ,
          <addr-line>ARHeMLab</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>Explainable Artificial Intelligence (XAI) is a field usually dedicated to ofering insights into the decisionmaking mechanisms of AI models. Its purpose is to enable users to comprehend the reasoning behind the results provided by these models, going beyond mere outputs. In addition, one of the main goals of XAI is to improve the performance of AI models by exploiting the explanations of their decisionmaking processes. However, a predominant portion of XAI research concentrates on elucidating the functioning of AI systems, with comparatively fewer studies delving into how XAI techniques can be leveraged to enhance the performance of an AI system. This underlines a potential area for further exploration and development in the field of XAI. In this paper we focus on the possibility to enhance the performance of an already trained AI model. To this aim we propose a new scheme of interaction between explanations provided by SHAP XAI method and computations of the responses of a given AI model. This new proposal was tested using the well-known CIFAR-10 dataset and EficientNet-B2 model, showing promising results.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;XAI</kwd>
        <kwd>Machine Learning</kwd>
        <kwd>DNN</kwd>
        <kwd>SHAP</kwd>
        <kwd>Attributions</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Explainable Artificial Intelligence (XAI) aims to provide an understanding of how AI models
work and reasons beyond the decisions they make, allowing users to understand their results.
This is particularly important as AI becomes more integrated into everyday life and critical
decision-making processes such as healthcare and finance. A large part of the past and current
literature [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4 ref5">1, 2, 3, 4, 5</xref>
        ] focuses solely on how to explain AI systems, while less attention is
paid to whether and how current XAI methods can be used to improve an AI system. This is a
significant shortcoming in the context of such research studies.
      </p>
      <p>For example, by explaining their decision-making processes, XAI techniques can help AI
researchers better understand the mechanisms behind AI outputs, allowing them to identify
errors in their design and/or implementation.</p>
      <p>Thus, our goal is to establish an automated process by which the explanations of the ML
system’s behaviour are used to improve the system’s performance.</p>
      <p>
        The core idea is that explanations can facilitate the discernment of pivotal input features
influencing specific outputs. This acquired knowledge can then be applied to fine-tune or refine
the ML system itself. In particular, we focus on the possibility to enhance an already trained ML
system with slight changes to the system itself. In this work, we leverage the SHAP (SHapley
Additive exPlanations, [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]) method to devise a system aimed at enhancing the performance
of a classifier. SHAP, a widely recognized explainability technique, provides insights into the
contribution of diferent features in a model’s predictions. Our approach employs a surrogate
of the explanations, obtained through an encoder, with the specific intention of distilling only
the truly pertinent information conveyed by the explanation. This allows us to focus on the
most important explanatory insights, while ensuring the efectiveness and eficiency of our
framework for improving classifiers.
      </p>
      <p>Two experimental setups were designed to assess the efectiveness of our approach. The
ifrst one aims to investigate whether SHAP provides explanations with informative content
significant enough to enhance the model’s performance. In other words, we propose a strategy
to experimentally find an upper bound on the capability of the SHAP explanations to improve
the system performance in a given problem. In the second experimental setup, we show how
the SHAP explanations can be efectively incorporated into the processing of the ML system
responses in order to improve them. In this work, we will provide the following contributions: i)
We consider a model already trained, aiming to introduce minimal modifications while leveraging
its existing feature extraction ability, ii) we propose a simple strategy to experimentally compute
the extent to which explanations can improve the already trained model, and iii) we present
a straightforward methodology for seamlessly integrating explanations with the output of a
pre-trained model, ofering a practical and efective framework for model improvement.</p>
      <p>The paper is organized as follows: in Sec. 2 the current literature about XAI used to improve
ML models is reported; in Sec. 3 the proposed method is described while in Sec. 4 and 5
experimental assessment and the obtained results are described and reported, respectively.
Finally, in Sec. 6 we conclude the paper with final remarks.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>
        The internal mechanisms of modern ML approaches, such as Deep Learning, are typically
opaque, posing challenges for AI scientists attempting to comprehend the underlying processes
governing their behaviors. Consequently, establishing a clear understanding of the relationships
between inputs and outputs can prove to be challenging. As a result, the utilization of eXplainable
AI (XAI) methods span various domains, including but not limited to images [
        <xref ref-type="bibr" rid="ref1 ref2 ref5 ref7 ref8">1, 2, 5, 7, 8</xref>
        ], natural
language processing [
        <xref ref-type="bibr" rid="ref10 ref9">9, 10</xref>
        ], clinical decision support systems [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], and more. The integration
of explanations into the machine learning pipeline has garnered significant attention in very
recent years within the academic literature in several fields. In a related vein, [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] introduces a
dataset for hate speech detection that incorporates rationales explaining the labels assigned.
Another notable contribution by [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] presents a text augmentation technique tailored for Natural
Language Processing (NLP) tasks. This innovative method leverages XAI techniques to discern
the significance of individual words. For example, In [
        <xref ref-type="bibr" rid="ref14 ref15">14, 15</xref>
        ] several XAI methods are empirically
evaluated on an ML system trained on EEG data for BCI applications, reporting that many
components considered relevant by XAI methods can be potentially used to improve a ML system.
More in general, Weber et al. conduct a comprehensive survey in [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] that explores various
instances of eXplainable AI (XAI) methodologies employed to enhance classification systems.
The work of [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] introduces a framework wherein both data and explanations are utilized jointly
to train a machine learning model, equipping it to provide both interpretable explanations
and a predictive model. [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] employed Deep Taylor Decomposition (DTD) relevance [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] to
construct a robust classifier for identifying the presence of orca whales in hydrophone recordings.
The DTD relevance serves as a binary mask, enabling the selection of the most crucial input
features. Similarly, in [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] and [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], LRP (Layer-wise Relevance Propagation) explanations [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]
guided the training process of a classification task, ensuring emphasis on the salient features.
LRP is also harnessed in [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], where the explanations provided are manually scrutinized to
eliminate extraneous information from the dataset, enhancing the overall model performance.
[
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] embedded Contextual Decomposition (CD) explanations [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] directly into the training loss
function of a DNN model. [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] proposes Attention Branch Network (ABN), a model designed to
leverage on CAM-based explanations to weight the input feature maps introducing a branch
structure. In [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ] a set of well-known XAI methods are investigated to verify if they can be
exploited to improve the performance of a classification system. In [
        <xref ref-type="bibr" rid="ref26 ref27 ref28">26, 27, 28</xref>
        ] diferent feature
priors schemes are integrated as penalty term into the training loss functions. It is important
to highlight that these methods often require a human expert with prior knowledge to build a
domain-specific prior knowledge. Similarly, [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ] and [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ] implement a classifier that focuses
exclusively on a predefined set of features, thereby constraining the training loss function.
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ] a retraining strategy to improve the model predictions leveraging on SHapley Additive
exPlanations (SHAP) values to give specific training weights to misclassified data samples is
proposed. The efectiveness of SHAP values is also investigated in [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ] where SHAP explanations
are used to implement a feature selection strategy. SHAP was also used in [33] to improve the
performance of an autoencoder for a network anomaly detection problem. In [34] a feature
augmentation method (Shapley Feature Augmentation, SFA) based on Shapley values is proposed.
Diferently from the proposed work, SFA augments features leveraging on both the model
outputs and the Shapley explanations. Furthermore, the augmented feature vectors is composed
of both the original features and all their Shapley values, doubling the feature dimensions.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Method</title>
      <sec id="sec-3-1">
        <title>3.1. Notation</title>
        <p>We assume that a dataset  = {(x(), ())}=1 of  labeled data is available, where x() is a

sample point in a given feature space  and () is the corresponding class in a class label space
{1, 2, . . . , }.</p>
        <p>In this work, we adopt SHAP explanations to improve the performance of a given classifier
 on an input x(). The model  can be formalized as a function  :  → R . The model
output can be viewed as a score function for each possible class, and the predicted class can
be computed as ^() = arg max{ (x())}. For each input x() and output ^() by  , SHAP
provides explanations about all the possible classes. In this work, we will refer to the explanation
provided by SHAP on an input x() respect to a generic class  ∈ {1, 2, . . . , } as x(),, instead
the SHAP explanation respect to the inferred class ^() provided by  will be indicated by x() ,
and finally we will refer to the SHAP explanation respect to the real target class () as *x() .</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Method description</title>
        <p>
          In our proposal, we consider a neural network model  as composed of a feature extractor 
followed by a classification layer , i.e.  (x()) = (︀  (x()))︀ . We want to exploit both the
knowledge given by explanations x() on the model encoding  (x()) together with features
extracted by  (x()), to obtain an improved ML model (︀  (x()),  (x()))︀ able to provide
improved performance respect to  . The overall model is shown in Fig. 1. Summarizing, the
proposed framework is composed of three main components: i) a feature extractor  , taken from
a model  with a given performance that we want to improve, ii) an explanation Encoder 
which extract the relevant information from the provided explanations, and iii) a final classifier
. The input x() and explanations x() are fed to  and  respectively. The resulting outputs
 (x()) and (x() ) are then concatenated together and fed to , which will provide the final
classification. In other words,  will replace  in the classification step, taking into account
information provided by SHAP explanations. Diferently from similar work such as [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ], in this
work we adopt an encoded version of the SHAP explanations (which we will refer as SHAP
surrogate) computed by an encoder . Indeed, we assume that an encoder can easily extract
only the useful information from a given explanation.
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experimental assessment</title>
      <p>The main goal of this work is to improve the classification performance of a model exploiting
SHAP explanations. To this aim, we want first to investigate if SHAP provides explanations
containing enough and useful information to improve the classification performance of  .
Therefore, initially we investigate if and how much SHAP surrogates can help the classification
of a given model. Once it has been established that SHAP surrogates are useful to improve
classification performance, they can be used for the efective classification system. Therefore,
the experimental assessment is composed of two sets of experiments, the former to investigate if
SHAP explanations could be used as additional input to enhance efectiveness of the classification
model, the latter to adopt them in a real scenario. Since the first experimental scenario is purely
exploratory, we assume that the explanations *x() about the real class for each input x() are
available, while in the second experimental scenario we adopt the efective explanation *x()
provided by the SHAP method, therefore assuming the real case where information about the
efective input class may not be available.</p>
      <sec id="sec-4-1">
        <title>4.1. CIFAR-10 dataset</title>
        <p>CIFAR-10 [35] was used as benchmark dataset. CIFAR-10 is a collection of 60,000 color images
grouped into ten categories, that are airplane, automobile, bird, cat, deer, dog, frog, horse, ship,
and truck. The dataset ofers 50,000 training images and 10,000 test images, all of size 32 × 32.</p>
      </sec>
      <sec id="sec-4-2">
        <title>Adopted model and training</title>
        <p>As base model  we employed EficientNet-B2 model [ 36], pre-trained on the ImageNet dataset
[37]. The model  is then fine-tuned on CIFAR-10 training data, resulting in an accuracy of
97.15% on the test set. Since EficientNet is trained on ImageNet with images having dimensions
of 224 × 224, bicubic interpolation was employed on CIFAR-10 to scale images from the original
resolution of 32 × 32 to 224 × 224. The best model hyperparameters have been found with a
grid-search strategy, where hyperparameters and variation ranges are reported in Tab. 1.</p>
        <p>
          The resulting baseline model was then used to generate SHAP explanations for a given input.
SHAP explanations were generated using the method described in [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ].
        </p>
        <p>As explained in Sec. 3, the proposed framework (Fig. 1) is a double-branch neural network
architecture, where the first branch consists in the pre-trained feature extractor  fed with an
input x(), while the second branch consists in an encoder , whose architecture is shown in
Fig. 2. The encoder  processes a SHAP value-based explanation with the aim of capturing
meaningful information and relations about both the visual content of the input image and the
associated explanations. The outputs of  and , that are the features extracted by x() and the
surrogate explanation respectively, are then concatenated together and fed to the final classifier
. In this work, we adopt as classifier  a simple shallow fully-connected neural network with
a number of neurons equals to the number of classes. Keeping the inner parameters of  fixed,
parameters of  and  are learned during the training stage. The best hyperparameters have
been found adopting a grid-search strategy with ranges listed in Tab. 1.
Two distinct types of experiments were conducted, the former to investigate if SHAP
explanations could be used as additional input to enhance efectiveness of the classification model,
therefore exploiting *x() about the true classes (), while the latter to adopt them in a real
scenario, therefore no knowledge of the true class of the input was considered available. In the
second case the following two strategies to build explanations have been adopted:
A. Most probable class explanation x() : the explanation x() of the most probable ^()
class according to  is generated.</p>
        <p>B. Weighted average explanation (x): An averaged explanation x
() is computed from
the set of  explanations generated by SHAP on the input x() for the model  , with
each explanation’s contribution weighted by the classification scores provided by model
 , as shown in Equation 1. x is the input image,  represents the total number of classes,
 (x()) is the score assigned to class  by  , and x(), is the SHAP values attributed
to the class  on the input x().</p>
        <p>x() = ∑︁  (x()) · x(),
=1
(1)</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Results</title>
      <p>In this section, the results of the experimental assessments are reported.</p>
      <p>In Table 2 performance accuracy on the test set of the CIFAR-10 dataset is shown. Specifically,
the baseline model  , without additional information provided by SHAP, achieved an accuracy
of 97.15%. Instead, using the adopted framework and explanations *x (that are explanation
on the correct classes), an higher accuracy of 98.64% was achieved. Diferently, relying on
the most probable class explanation x or the weighted average explanations x, accuracy
drops to 97.06% and 97.21%, respectively. First results suggest that SHAP explanations on
the model performance, in general, can have a significant impact, leading to performance
improvements. Despite this, last experiments showed that the proposed approaches adopting
efective explanations x lead to performance comparable with the baseline.</p>
      <p>Figure 3 provides predictions for some of the images in the test data. It is relevant to note
that the use of explanations corresponding to the real classes * leads to correct predictions in
several cases, revealing a considerable information value in such explanations. In some cases,
the weighted average technique is equally efective, also contributing to correct predictions.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusions</title>
      <p>Explainable Artificial Intelligence (XAI) plays a crucial role in unraveling the decision-making
processes of AI models, shedding light on their inner workings and enhancing transparency.
While the literature has predominantly focused on explaining AI systems, this work takes a step
further to investigate how these explanations can be harnessed to improve AI system
performance. In an ideal scenario, we envision an automated process where AI system explanations are
leveraged to autonomously enhance system performance and understanding. Our assumption
is that insights gained from explanations can enhance the adaptability of AI models to a wide
range of inputs. In this study, we employ the SHAP (SHapley Additive exPlanations) method
to develop a system aimed at improving classifier performance. SHAP, a widely recognized
explainability technique, provides insights into the contribution of diferent features in a model’s
predictions. Our approach involves using a surrogate of SHAP explanations obtained through
an encoder, distilling only the pertinent information from the explanation. This ensures a focus
on crucial insights while maintaining the eficiency of our classifier improvement framework.
We conduct two sets of experimental setups to assess the efectiveness of our approach. The
ifrst set aims to investigate whether SHAP explanations contain suficient and useful
information to enhance model performance. This setup primarily evaluates SHAP’s explanatory
power in isolation. In the second setup, we actively incorporate these explanations into our
framework to demonstrate their real-world impact and efectiveness in enhancing classifier
performance. This setup represents a practical application of SHAP insights. The results are
encouraging. In the first experimental setup, when utilizing explanations corresponding to the
true classes, we achieved the highest accuracy of 98.64%. This highlights the significant impact
of explanations on model performance, especially when true class information is available. In
real-world scenarios where this information is not available, we have shown that solutions can
be found where the model performance is at least comparable to the baseline. This highlights
the potential of explanations to improve the performance of AI systems. Further investigations
to improve the proposed method will be made and proposed in future works. In conclusion, this
work provides valuable insights into the potential of XAI methods, such as SHAP, to not only
explain AI systems but also to enhance their functionality and adaptability. As AI continues to
play a pivotal role in various domains, understanding and harnessing the power of explanations
for improvement becomes increasingly important.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgments</title>
      <p>This work is supported by the European Union - FSE-REACT-EU, PON Research and Innovation
2014-2020 DM1062/2021 contract number 18-I-15350-2, and was partially supported by the
Ministry of University and Research, PRIN research project "BRIO – BIAS, RISK, OPACITY
in AI: design, verification and development of Trustworthy AI.", Project no. 2020SSKZ7R, by
the Ministry of Economic Development, “INtegrated Technologies and ENhanced SEnsing for
cognition and rehabilitation” (INTENSE) project, and by Centro Nazionale HPC, Big Data e
Quantum Computing (PNRR CN1 spoke 9 Digital Society &amp; Smart Cities, CUP: E63C22000980007
). Furthermore, we acknowledge financial support from the PNRR MUR project PE0000013-FAIR
(CUP: E63C22002150007 ).
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