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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Assessing Perceptual and Recommendation Mutation of Adversarially-Poisoned Visual Recommenders</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vito Walter Anelli</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tommaso Di Noia</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daniele Malitesta</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Felice Antonio Merra</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Politecnico di Bari</institution>
          ,
          <addr-line>Via Edoardo Orabona, 4, 70126 Bari BA</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <fpage>49</fpage>
      <lpage>56</lpage>
      <abstract>
        <p>Visually-aware recommendation leverages visual signals of product images extracted through Deep Neural Networks to improve the recommendation performance. However, human-imperceptible adversarial noise can alter recommendation outcomes, e.g., pushing/nuking specific product categories. In this work, we provide 24 combinations of attack/defense strategies, and visual-based recommenders to 1) access performance alteration on recommendation and 2) empirically verify the efect on final users through ofline-visual metrics. The results suggest defense is not protecting recommender models as expected, and shed light on the importance of human evaluation to identify visual attacks on recommendations. Source code, data, and experimental parameters are available at https://github.com/sisinflab/ Perceptual-Rec-Mutation-of-Adv-VRs.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Adversarial Machine Learning</kwd>
        <kwd>Recommender Systems</kwd>
        <kwd>Data Poisoning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>a. Clean
Rec. Position: 68th</p>
    </sec>
    <sec id="sec-2">
      <title>2. The Threat Model</title>
      <p>
        Given the set of users  , items ℐ, the matrix of historical interactions , the recommendation
problem is defined as the task to suggest products by maximizing the user’s gain (). The
state-of-the-art RS, BPR-MF [
        <xref ref-type="bibr" rid="ref18 ref3">3, 18</xref>
        ], solves () by maximizing a loss function over a set of
where  is the regularization coeficient,  (· ) is a sigmoidal function, and ^, the predicted
preference score of the user  on the item  measured as ^ =  . Here,  and  are
the user-specific and item-specific latent features, respectively. Then, for each item ,  is
the associated product image. Let  the visual signal extracted from a DNN whose function
model is  , i.e.,  is the output of the first fully-connected layer placed immediately after the
convolutional part. Then, He and McAuley [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] extended BPR-MF by integrating the visual
signal while measuring ^. The new formulation is:
where   is the user’s visual factor, and E is an embedding matrix to project  into the same
dimensional space as for  .
      </p>
      <p>
        The dependence of a VRS from the visual signal in Equation 2 has been exploited by adversaries
to poison the training data with the insertion of adversarial samples [
        <xref ref-type="bibr" rid="ref14 ref15 ref19">14, 15, 19</xref>
        ]. To generate
the targeted adversarial attack the optimization problem formulation is:
(1)
(2)
(3)
(4)
triplets  defined as:
ℒ  =
      </p>
      <p>∑︁
(,,)∈
− ln  (^ − ^ ) +  ‖ ‖22
max
 :‖ ‖≤</p>
      <p>ℒ ( +  , ) s.t.  = 
where ℒ is the cost function of  ,   is the  -bounded perturbation of  that will make the
product image be misclassified by  as the (more popular) product category , and ‖·‖  is
the  norm. For instance, the adversary can poison the data adding a perturbed image of
“Jersey, T-shirt” misclassified as “ Brassiere” (Fig. 1) causing a variation in the VRS since  will
be extracted from  =  +  .</p>
      <p>
        Recently, studies on the robustification of DNNs have shown the adversarial training by
Goodfellow et al. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] is one of the most prominent defense technique. After the definition of the
adversary threat model (i.e., the attack strategy), the adversarial minimax formulation is:
∑︁
min
̃︀ (,)∈ℐ
 :‖ ‖≤  ℒ ( +  , )
      </p>
      <p>max
where ̃︀ represents the model parameters of the robustified network ( ̃︀).</p>
      <p>
        Let ̃︀ the visual features of the image  associated to a product image extracted from ̃︀.
In this work, we want to verify if the application of adversarial training methods can limit
poisoning attacks against VRSs [
        <xref ref-type="bibr" rid="ref14 ref15">14, 15</xref>
        ] since each user-item score prediction ^ depends on
̃︀. Furthermore, we want to investigate whether the usage of adversarial trained DNNs will
make the adversarial perturbation evident to such an extent that it makes the perturbed samples
identifiable via a human evaluation.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Experiments</title>
      <p>
        Setup. The experiments are conducted on two fashion datasets, i.e., Amazon Women and
Amazon Men made publicly available by He and McAuley [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. They come with both users’
ratings and product pictures uploaded by the platform owner and third-party sellers (say,
the possible adversaries). Amazon Women counts 16668 users, 2981 items, and 54473 ratings,
while Amazon Men counts 24379, 7371, and 89020. We split the data following the time-aware
leave-one-out protocol [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
      </p>
      <p>
        To empirically study the eficacy of defenses and evaluate the visual appearance of adversarial
samples, we tested two VRS: VBPR by He and McAuley [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], and AMR by Tang et al. [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], a
VBPR extension that includes the adversarial regularizer of visual features proposed by He et al.
[
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. The complete set of experimental parameters is reported in the GitHub repository.
Evaluation of Recommendation Performance. Table 1 shows the recommendation
variation before and after the attacks. We evaluate the variation of recommendation with the
@ [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], that measures the average number of a (pushed) category of items in the
top-K recommendation lists. In particular, results in Table 1 are measured on the following
source-target combinations: “Sandal”-“Running Shoe” for Amazon Men, while “Jersey,
T-shirt”“Brassiere” for Amazon Women, where the adversary tries to push the recommendability of a
source category by perturbing the product picture to be classified as a target class, e.g., the class
of a very popular category.
      </p>
      <p>Analyzing VBPR outcomes, PGD attack shows the highest variation of @20 in the
defense-free experiments. For instance, PGD ( = 8) increases by more than 2.3 times the
@20 of the source category in the &lt;Amazon Women, VBPR, Traditional&gt; setting. The
same trend is not true for the defense contexts. C&amp;W attacks have increased the @20
by 71.09%, while PGD ( = 8) by 69.35%. Furthermore, Table 1 confirms that the adversarial
training strategies have failed in protecting VBPR since the data poisoning is always efective
in any defended settings.</p>
      <p>Investigating AMR results, the attacks are quite efective in the defense-free settings as much
as in VBPR, and confirm PGD (  = 8) as the most powerful method. Interestingly, the joint
usage of (1) adversarial training procedures on the DNN and (2) the adversarial regularization
on the recommender embeddings (APR) significantly reduced the efectiveness of the dataset
poisoning. Indeed, 75% of attacks have not increased the  @20 of the low popular category
of products.</p>
      <p>
        Visual Evaluation. To investigate the eficacy of attacks in poisoning the VRS, we studied
the attack Success Rate (), the Feature Loss ( ), and the Learned Perceptual Image Patch
Similarity (   ) [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Given the importance that visual features hold in VRSs,   calculates
the MSE between extracted features before and after the attack. That is, it provides a measure
of visual features’ shifting in the latent space, and how this has afected recommendation. The
idea behind     is to produce a perceptual distance value between two similar images by
leveraging (1) knowledge extracted from convolutional layers inside state-of-the-art CNNs and
(2) collected human visual judgments about those pairs of similar images. We computed this
metric fine-tuning a VGG [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] network since Zhang et al. [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] proposed this configuration as
the best one at imitating a real human-evaluation in circumstances comparable to visual attacks.
      </p>
      <p>Table 2 reports the     results, along with  and   values. It is worth recalling that
a large (small)   value stands for semantically diferent (similar) images from DNN’s point of
view. Similarly, a large (small)     value means the two compared images would likely be
considered as visually diferent (similar) by humans.</p>
      <p>
        Two general observations arise here. First, the   is strictly correlated to the , i.e., an
attack is successful when the extracted features are noticeably shifted in the latent space. Second,
all attack combinations are able to keep     values within low ranges, in accordance with
the imperceptible nature of adversarial perturbations on images [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Thus, we connect this
obtained measure with the attack eficacy in both failing the classifier (i.e., the DNN) and the
VRS. What follows is a detailed evaluation of scenarios involving —or not— defensive techniques
for the DNN.
      </p>
      <p>Defense-free Setting. In the defense-free scenario, PGD ( = 4) is the least perceptible attack
—with the lowest    values— even considering a near-100%  and a successful pushing
of attacked products. On the other hand, FGSM ( = 8) fails to hide the produced perturbations,
reaching the highest perceptible visual diference on Amazon Women (2.8505). Coherently, this
setting also shows a low  and a weak alteration of visual recommendations (see Table 1).</p>
      <p>Defense Setting. Let us focus on the two defenses. Here, it becomes fundamental to consider
the    value along with its corresponding  and recommendation variations. As a matter
of fact, in a defense context, where all attacks averagely tend to perform worse at failing the DNN
classifier, a measured low average    value might trivially mean very few images were
successfully attacked. For instance, the described situation occurs in the combination &lt;Amazon
Men, PGD ( = 4), Adversarial Training&gt;. However, since these attacks have still been efective
in pushing low ranked category products (as evident in Table 1), then adversaries could exploit
their hardly-human perceptibility to craft even stronger perturbations (e.g., increasing  ). An
intriguing situation is when    on the defended DNN is higher than the non-defended
one. The worst case is &lt;Amazon Men, FGSM ( = 8), Adversarial Training&gt;, which shows a 34%
increase of    compared to the Traditional training. We explain this result considering
that and attack might need to produce larger perturbations to move the category of the few
correctly attacked images (about 24% in the cited example) towards the targeted one. Not only
is the attack ineficient, but it risks human identification.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>We have presented an empirical study to evaluate the eficacy of defenses (i.e., Adversarial
Training and Free Adversarial Training) to protect DNNs on top of visually-aware recommender
systems when poisoning product image datasets with adversarial attacks. Experiments on
state-of-the-art visual recommenders VBPR and AMR trained on two datasets (i.e., Amazon
Women and Amazon Men) demonstrated the alarming weakness of adversarial training in
protecting the recommendation performance. Furthermore, the visual evaluation suggested defense
scenarios with few successfully attacked images and barely perceptible visual artifacts that still
keep breaking recommendation performance are blind spots that adversaries could explore
deeper for their malicious purposes. Conclusively, we plan to study attack eficacy on overall
recommendation performance (accuracy and beyond-accuracy), propose novel end-to-end
defenses, provide a parallel in-depth study on the impact of perturbed images for humans, the
users of the platforms.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgment</title>
      <p>The authors acknowledge partial support of the following projects: Innonetwork CONTACT,
Innonetwork APOLLON, ARS01_00821 FLET4.0, Fincons Smart Digital Solutions for the Creative Industry, PON
OK-INSAID.</p>
    </sec>
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