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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Role of Hyperparameters in Deep Active Learning</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Denis Huseljic</string-name>
          <email>dhuseljic@uni-kassel.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marek Herde</string-name>
          <email>marek.herde@uni-kassel.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Paul Hahn</string-name>
          <email>paul.hahn@uni-kassel.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Bernhard Sick</string-name>
          <email>bsick@uni-kassel.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>University of Kassel</institution>
          ,
          <addr-line>Intelligent Embedded Systems, Wilhelmshöher Allee 73, Kassel, 34121</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <fpage>19</fpage>
      <lpage>24</lpage>
      <abstract>
        <p>Despite considerable research on pool-based deep active learning (DAL), deploying DAL into real applications still has several challenges. A frequently neglected aspect is the choice of training hyperparameters (HPs), such as the learning rate. Since these HPs determine how the deep neural network learns in each cycle, they must be chosen carefully. In this article, we analyze the role of HPs in DAL. We find that optimizing HPs reduces the performance gap between DAL strategies. Conversely, we highlight challenges in finding optimal HPs when using datasets selected via DAL strategies.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>CEUR
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strategy becomes apparent. In DAL, the DNN’s predictions are typically used to select instances
for annotations. Suboptimal HPs could result in less accurate model predictions, negatively
afecting DAL strategies. Learning curves show a greater variance than random when using a
DAL strategy. Notably, two specific HP settings resulted in a significant decrease in performance.
This experiment suggests the need for carefully selecting HPs when deploying DAL strategies.</p>
      <p>We present new studies regarding HPs’ influence on DAL with the following contributions:
• We briefly review influential articles in the field of DAL, especially focusing on how these
handle training HP in their experimental design.
• We present experiments analyzing training HPs’ influence on DAL by evaluating the
reusability of labeled pools acquired by DAL strategies for DNNs with optimized HPs.
• We provide a roadmap to guide future research on choosing training HPs in DAL.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>
        Foundational DAL Research: Most highly-cited DAL research underemphasizes HP choice,
despite the presence of a randomly selected validation dataset in their experiments. For example,
although dropout [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] is an essential component in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], they only optimize weight decay in each
DAL cycle. In contrast, [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], and [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] fix training HPs and only evaluate validation
accuracy to select the best-performing DNN during training. While [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] fix training HPs, they
employ a grid search to optimize HPs specific to their strategy. The authors in [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] argue that
DAL should simply work given fixed HPs. However, their results show significant accuracy
discrepancies compared to the literature. For example, in their CIFAR-10 experiment with 10k
annotations and a ResNet-18, the average test accuracy is over 50% worse than in [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ].
      </p>
      <p>
        Contemporary DAL Research: Recent research [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ] still primarily fixes training HP at
the beginning of DAL. The authors of [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] highlight that this hinders comparability across various
studies and DAL strategies. Furthermore, they empirically demonstrate that HP optimization
during DAL reduces accuracy improvements over a random instance selection. Accordingly,
they recommend HP optimization during DAL to foster comparability. Other studies, such
as [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], argue that HP optimization per cycle requires much computational efort and does not
afect the DAL strategies’ ranking. Thus, they suggest fixing HPs at the start of DAL, providing
recommendations for specific HP settings.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Experiments</title>
      <p>
        We examine image classification problems using the ResNet-18 [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] as DNN and conduct
experiments on CIFAR-10 [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], which contains a predefined training and test split. Throughout this
article, we employ the training split for DAL. We consider a DAL scenario with an unlabeled
pool  and a labeled pool ℒ. We start with 100 randomly sampled labeled instances. Afterward,
each cycle consists of DNN training followed by selecting 100 instances from  based on a DAL
strategy. Selected instances are removed from  and added to ℒ with their respective labels.
The cycle is repeated until a budget of 4000 instances is reached. In addition to random instance
selection, we investigate three selection strategies: i) entropy, which is uncertainty-based, ii)
core-sets [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], which is representation-based, and iii) BADGE [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], which is a hybrid of both. All
results are averaged over three repetitions.
      </p>
      <p>
        To assess the efect of training HPs (here: learning rate and weight decay) on DAL’s selection,
we examine the labeled pools collected by DAL strategies that use diferent HP settings.
Specifically, for each strategy, we fix four unique HP settings at the beginning of DAL, each leading
to a distinct labeled pool. We focus on labeled pools in two stages of the DAL process: in the
middle (2k instances at 50%) and at the end (4k instances at 100%). These are then employed
to evaluate if varying HP settings substantially influence the performance of strategies, e.g., if
a poor-performing strategy due to bad HPs would still underperform with good HPs. To this
end, once a labeled pool is collected via DAL, we subsequently optimize HPs with Bayesian
optimization (BO) [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. To mimic a realistic scenario, we randomly sample a validation split of
10% of the labeled pool. As the sizes of 2k and 4k are relatively small, we use three validation
splits for each HP. For a more detailed experimental setup and additional results on CIFAR-100,
we refer to our implementation at https://github.com/dhuseljic/dal-toolbox.
      </p>
      <p>Table 1 details the experimental results. Focusing on DAL accuracies first, we see inconsistent
improvements of DAL strategies over a random selection across diferent HP settings . Especially
HP 3 &amp; 4 demonstrate considerable performance drops of strategies to random selection,
suggesting that DAL strategies may even fail with a poor HP choice. Considering the ranking of
the DAL accuracies across HPs, we observe that diferent HPs can lead to varying rankings . For
example, DAL accuracies of Badge are best when considering HP 1 &amp; 2, while random is best
for the other HPs. Once we consider BO accuracies, we notice that a poor HP choice during
DAL does not necessarily lead to a worse selection, indicated by decreasing performance gaps
to random. Notably, Badge performs robustly, achieving the best BO accuracy in 7 out of 8
cases. Comparing the ranking of DAL and BO accuracy pairs for fixed HP settings, we see that
optimizing HPs after DAL impacts strategies’ ranking . For example, when considering HP 4,
Badge becomes the best performing DAL strategy after BO, despite not being the best during
DAL. This also suggests that a suboptimal HP choice at the beginning of DAL does not necessarily
lead to a bad instance selection of DAL. Interestingly, comparing DAL and BO accuracies of HP 1
for 4k instances, we see no accuracy improvement of BO over DAL, which we believe is because
a well-working HP leads to a strong sampling bias in the labeled pool. For example, the labeled
pool of entropy sampling consists of uncertain instances which do not match the true data
distribution leading to a validation dataset unsuitable for HP optimization.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Takeaways and Future Research</title>
      <p>We provided an empirical study examining the influence of HPs on the instance selection of
diferent DAL strategies. Our main takeaways are: i) Varying HP settings at the beginning of
DAL can lead to inconsistent performance improvements, strategy rankings, and even failing
DAL strategies. However, suboptimal HPs do not necessarily lead to a worse instance selection.
ii) Choosing proper HPs at the beginning of DAL does not guarantee suitable labeled pools
for real applications. The resulting datasets might not represent the data distribution due to
sampling bias, making a representative validation split dificult.</p>
      <p>
        As datasets persist and research continuously develops new DNN architectures, the reusability
of labeled pools collected by DAL strategies needs a stronger focus. Specifically, reusing these
for new DNN architectures with possibly diferent HPs is crucial for efective integration into
practical applications [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. Therefore, it is essential that future research addresses:
• Research perspective: HP optimization in the context of DAL requires deeper
investigations. Our study suggests that HP optimization at the end of DAL reduces the performance
improvement of strategies over random instance selection, corroborating the findings
of [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Research should be extended toward more alternatives (e.g., optimize HP after
regular intervals within DAL) with various architectures and strategies.
• Application perspective: There should be a stronger focus on how to proceed after
a dataset was acquired via DAL, especially due to requiring a validation dataset that
is suitable for HP optimization. This aspect is critical for enabling DAL’s successful
deployment into real applications.
      </p>
      <p>To this end, it might be necessary to design DAL strategies that select not only informative
instances but also representative ones, which can be used for efective validation. Consequently,
this would also minimize the validation dataset’s annotation costs.</p>
    </sec>
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