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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Dynamic models for emotion estimation from physiological signals</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Isabel Barradas</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Faculty of Science and Technology, Free University of Bozen-Bolzano</institution>
          ,
          <addr-line>Universitätsplatz 5 - Piazza Università, 5, Italy - 39100, Bozen-Bolzano</addr-line>
        </aff>
      </contrib-group>
      <fpage>23</fpage>
      <lpage>27</lpage>
      <abstract>
        <p>The ultimate goal of Human-Machine Interaction is to make interaction as natural as possible. To accomplish this, the recognition of the user's emotional state is considered an important factor. The ifeld of emotion recognition and modelling has predominantly employed static machine learning approaches that ignore the dynamic nature of emotions. However, this dynamic character has recently been highlighted by the emergence of appraisal models (e.g., Scherer's Component Process Model, CPM). These recent developments of emotion theory have been combined with Dynamic Field Theory (a wellestablished framework in the field of embodied cognition) to model emotion intensity based on galvanic skin response changes. The present work aims for an extended approach that considers not only the intensity, but also the quality of emotions as well as the dynamic and simultaneous changes of both. To create a dynamic emotion model, we will record and analyse electrophysiological signals. In contrary to most studies in literature where the assessment of the subjective feeling is performed after the exhibition of a stimulus, we will assess the subjective feeling online (during the emotion elicitation and data collection). This will allow us to directly compare the recorded subjective feeling with the dynamic output of our model. The development of such a dynamic model will not only contribute for a better understanding of the emotional processes but will also benefit several real-world applications, such as gaming, mental health monitoring, and driving-assistance technologies.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;emotion recognition</kwd>
        <kwd>appraisal models</kwd>
        <kwd>emotion dynamics</kwd>
        <kwd>electrophysiological signals</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction and Objectives</title>
      <p>
        Emotions play a crucial role in people’s lives, influencing how we think and behave. Besides
the introspective character of emotions, they are particularly important in communication and
the ability to recognise other people’s emotions is a sign of emotion intelligence. With this in
mind, intelligent user interfaces need to exhibit this ability of recognising emotions to replicate
a human-like interaction and better adapt the system behaviour [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>
        Over the last two decades, eforts have been made to predict and model users’ emotional states
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Electrophysiological methods represent a powerful tool for this purpose, since they are
involuntary, dificult to mask, and able to capture spontaneous and subconscious information
continuously. These signals provide complementary information and thus their combination
can be used to build a multi-modal approach for emotion recognition [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ].
      </p>
      <p>
        The dynamic nature of emotions is often recognised in diferent theories [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and therefore
one could expect that state-of-the-art techniques for emotion recognition would take this
into consideration. Nevertheless, emotion dynamics has been vastly disregarded in emotion
recognition studies, which represents a lack in the literature that needs to be settled.
      </p>
      <p>
        In most studies, an afective state is commonly detected within a time window by employing
static machine learning approaches [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], which can either be traditional statistical methods [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ]
or deep learning approaches [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ]. On the other hand, the emergence of the so-called appraisal
models emphasised the dynamic nature of emotions, since emotions are defined as processes
and involve diferent components and their interactions in time [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], bringing a refreshed
architecture to investigate emotion dynamics. Given the early stage of this field, further studies
need to be conducted to consolidate the findings and to extend the preliminary models, since the
few existent literature is dominated by behavioural studies. Also, the subjectively felt emotion
is poorly assessed in most studies, which does not provide a reliable ground truth.
      </p>
      <p>
        To overcome the presented limitations, Jenke &amp; Peer (2018) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] employed galvanic skin
response to dynamically model emotion intensity over time. In this study, a specific appraisal
model was considered — the Scherer’s Component Process Model (CPM) [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ]. In fact, unlike
the machine learning approaches who behave like black-box models to recognise emotions
[
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], the CPM provides a mean to combine both theoretical and empirical properties over time
(grey-box approach). Therefore, Jenke &amp; Peer (2018) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] took advantage of this to develop a
dynamic grey-box model for intensity estimation based on the Dynamic Field Theory [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
Moreover, the subjectively felt intensity was measured in real-time during the exhibition of IAPS
images [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] and, thus, this information could also be included in the model. This incorporation
is essential for a correct interpretation of the model. We consider this study pioneer in multiple
aspects, but especially in the introduction of a dynamic model to predict afective states from
physiological signals and taking theoretical knowledge from the CPM into account. Despite the
relevance of this work, it still presents some limitations that need to be overcome, namely: the
intensity model is still requiring extra information for a better prediction; the emotional states
were merely divided into positive, negative, and calm; and it just considers changes in intensity
over time (other types of dynamics are disregarded).
      </p>
      <p>The abovementioned limitations will be overcome through this project with the addition of
extra information provided by other electrophysiologial signals, since the model can embody this
information. We will analyse the diferences in intensity for distinct emotion qualities. Moreover,
the emotion quality will be introduced in the model to predict trajectories between emotional
states, as well as to investigate whether the quality transitions afect emotion intensity.</p>
      <p>
        The subjective feeling, that plays a special role in the CPM, integrates the information from
all the emotional components and materialises it in a conscious representation of the afective
state. This perception is essential for emotion regulation, in which the individual has the ability
to control one’s own emotional state [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. In this sense, the mentioned assessment of the
subjective feeling may represent an advantage in the incorporation of this type of models in
clinical tools capable of helping individuals in this regulation. Moreover, these models may also
benefit several “daily-life” applications, such as driving-assistance technologies and gaming.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Proposed Approach</title>
      <p>2.1. Model
The Component Process Model encompasses five components that interact with one another.
Among these components, the subjective feeling is characterised by its quality, intensity, and
duration. The appraisal component is built upon a set of sequential criteria (the so-called
“stimulus evaluation checks”, SECs) that influence other components and, thus, physiological
changes are provoked. Diferent SECs can even influence the same mechanism, which stresses
their non-linear combination. In this way, the design of an experiment capable of recording
these physiological changes and the subjective feeling will help us to build a non-linear model
to relate both.</p>
      <p>
        The previous work of Prof. Angelika Peer (the supervisor of this project) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] considered the
emotion quality a known input of each trial, controlled by the design of the experiment. They
adopted the Dynamic Field Theory (DFT) (a mathematical and conceptual framework built to
model embodied cognition) [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] to model this type of dynamics. Since the DFT enables the
combination and interaction of diferent DNFs, allowing the model to incorporate
information from diferent physiological signals, we will also consider this approach by adding extra
layers/physiological signals in the model.
      </p>
      <p>
        Although this describes one of our first directions, other dynamical approaches as well as
Hidden Markov Model and Reinforcement Learning may need to be employed in this project.
Nonetheless, the design of our experiment will not be afected, since we will record enough
information to include diferent types of models. These models will be trained with both
physiological data and the measured subjective feeling (recorded in real-time).
2.2. Experiment and Data Collection
Participants: This study will be conducted with healthy individuals, above the age of 18, who
do not report any mental disorder1. According to the literature, we expect to have among 20
and 30 participants. This number will be adjusted according to the efect size.
Emotion elicitation: Images will be adopted to elicit emotions due to the large consensus in
the literature around their usage. More specifically, we will employ images from the International
Afective Picture System (IAPS) [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], one of the most frequently cited tools to induce emotions.
Electrophysiological signals: Central and peripheral nervous systems (CNS and PNS,
respectively) provide information on emotional states [
        <xref ref-type="bibr" rid="ref2 ref8">2, 8</xref>
        ]. We will use information from galvanic
skin response (GSR), heart rate (HR), and respiration (RSP) as indicators of the autonomic
nervous system (a branch of the PNS), as well as from electroencephalogram (EEG) as an indicator
of the CNS.
      </p>
      <p>Experimental design: In the proposed work, we aim for an extended approach that not only
considers the intensity, but also the quality of emotions as well as dynamic changes of both.
The experiment is divided into 3 diferent parts, as follows:</p>
      <p>
        1Before participating in the study, interested subjects will be screened with a questionnaire to assess the
presence of somatization, obsessive-compulsive disorder, interpersonal sensitivity, depression, anxiety, hostility, phobic
anxiety, paranoid ideation, psychoticism, and posttraumatic stress disorder. Only participants with a low prevalence
of any of these conditions will be included in this study and continue with further steps
• Intensity model: To improve the current intensity model [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and the analysis of
intensity profiles for diferent emotion qualities we are going to choose 3 emotion qualities,
representative of the quadrants of the Geneva Emotion Wheel (GEW) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. For each
emotion quality (which is fixed over a trial), the intensity of the stimuli changes over the
trial.
• Quality model: The stimuli range of intensity is assumed to be known and fixed over
a trial with 3 intensity ranges are going to be considered to understand whether the
intensity afects the quality transitions.
• Quality and intensity model: To investigate efects of quality transitions in the felt
intensity one part of the experiment is going to involve stimuli who vary in both quality
and intensity over the trial.
      </p>
      <p>
        Experimental procedure: The first step of the experiment is an online pre-screening. The
participants who meet our inclusion criteria1 are invited to come to our laboratory and continue
the experiment. After an explanation of the study and tasks and the obtainment of written
consent, the biosensors to measure GSR, HR, RSP, and EEG is placed. The stimuli presented
are part of the IAPS database [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] and are displayed on a monitor in front of the individuals.
The participants provide real-time information about the quality and intensity of the emotion
experienced, with access to a polar device with the GEW. The GEW contains 20 diferent labels
representing 40 emotion qualities. By adjusting a knob, subjects provide us the felt quality (the
angle of the GEW) and intensity (according to the proximity to the border of the GEW).
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Preliminary Work</title>
      <p>A pilot study was conducted with 2 participants, which allowed us to understand the need to
slightly revise the experimental design. After fixing these issues, we recorded data from 2 other
participants. However, just a part of the trials was recorded due to a software and a hardware
problem respectively. In this sense, we were just able to conduct a preliminary analysis of the
intensity model with a partial number of trials and in which we considered HR and RSP signals.</p>
      <p>We started analysing our data with Linear Regression to serve as a baseline. We computed
diferent features, namely: pulse frequency, pulse running rate 2, RSP rate (RSP cycles per
minute), RSP running rate, inspiration time, expiration time, inhalation depth, and exhalation
depth. We performed a sequential feature selection based on the higher computed bandwidth
accuracy3 (Abdw). Preliminary results indicate that for diferent subjects, diferent feature
combinations allowed to achieve the highest Abdw, indicating a high subject-dependency of the
optimal solution.</p>
      <p>Finally, we also used a Nonlinear Autoregressive Network with Exogenous Inputs (NARX
neural network), a recurrent dynamic network with feedback connections enclosing several
layers of the network, with raw signals as input, testing it with diferent delays. But since deep
2The running rate is computed with respect to a reference interval that is moving along with the evaluaion
window as time proceeds</p>
      <p>3Rate of samples where the model estimate matches ground truth within an acceptable margin of error, i.e., the
bandwidth ( ). We considered  of 10%, 15%, and 20%
learning approaches require more data we need to first extend our dataset to obtain meaningful
results.</p>
    </sec>
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