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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Privacy of Sequential Data for Learning Analytics</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Anailys Hernández Julián</string-name>
          <email>anailys.hernandez@gm.uca.es</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mercedes Rodríguez-García</string-name>
          <email>mercedes.rodriguez@gm.uca</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Juan Manuel</string-name>
          <email>juanma.dodero@gm.uca.es</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>LASI Europe 2024 DC: Doctoral Consortium of the Learning Analytics Summer Institute Europe 2024</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Universidad de Cádiz, Escuela Superior de Ingeniería, Av. Universidad de Cádiz</institution>
          ,
          <addr-line>10, 11519 Puerto Real, Cádiz</addr-line>
          ,
          <country country="ES">Spain</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Sequential data from multimodal learning experience and data source could provide the risk of background knowledge and also be exposed to third parties who may use them for malicious purposes, such as identity theft. This problem has been treated for Learning Analytics researchers with a general focus prioritizing the removal of direct identifiers over collected data. Nonetheless, the issue of collecting too much data and source anonymization methods for collecting sequential data with the aim of limiting sequential information had not been addressed until now. This research addresses the issue of collecting sequential data in a scalable manner and with a trade-off between privacy, accuracy and utility using sketching methods and differential privacy.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Privacy</kwd>
        <kwd>Sequential Data</kwd>
        <kwd>Learning Analytics</kwd>
        <kwd>Sketching</kwd>
        <kwd>Differential Privacy</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Goals and Research Questions</title>
      <p>
        The development of new educational platforms has increased the use of student-related
data of sequential nature, coming from sensors, webcams, and some other sources.
Sequences are important types of data that are present in medical, security, business and
some other areas, for example individual humans behave through various temporal
activities [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. We recognize that sequential data constitutes a significant portion of the
information utilized for Learning Analytics (LA) purposes. A systematic review conducted
by [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] on performance prediction in programming learning showcases various behavioral
features commonly observed in such studies, including clickstream, engagement, and
programming data reflecting programming behaviors.
____________________________________
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] a review of what has been happening in MMLA (Multimodal Learning Analytics)
shows that several research are approached empirically and in many of them the data used
are audio, biometrics, video, eye tracking, log files and so on, which have sequential
characteristic. Even though sequential data is not directly considered as identifying, they
are still vulnerable in terms of privacy preservation. In [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], sequential biometric data is used
for identification while in [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] the privacy preservation through sequential biometric
keyboard data is addressed. Both studies demonstrate that sequential data of a biometric
nature (such as keyboard biometrics or facial recognition) can compromise the identity of
users who generate them. Another example of sequential sensitive data is mentioned in [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ],
which recognizes eye movement/gaze pattern as unique as an iris or fingerprint and can be
used for user authentication.
      </p>
      <p>
        Although related to the large amount of sequential data generated from LA tech scientists
exposed as a privacy issue the collection of sensitive data and collecting too much data,
along with challenges in remote and local storage and processing of sensitive data [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
Nonetheless, some studies related to LA use the information related with the frequency of
certain characteristics in the data and not only with its sequential nature, [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
Those concerns are closely related to the issue that data should be private but at the same
time useful for the purpose it is collected.
      </p>
      <sec id="sec-1-1">
        <title>Research questions</title>
        <p>RQ1. What are the existing privacy techniques for sequential data over LA?
RQ2. Which privacy techniques are suitable for collecting sequential data in LA
without compromising students´ privacy?
RQ3. Is it possible to propose a method for collecting sequential data in a safe
manner using its frequency, its sequential nature, or both?</p>
        <p>Therefore, this work aims to achieve the following overall objective: Propose a privacy
solution for collecting sequential data for LA purposes. Related to that, the following specific
objectives are proposed:
1. Study privacy techniques over sequential data.
2. Propose scalable and cost-saving privacy techniques for source collecting
sequential data for LA.</p>
        <p>Based on the objectives the following research hypotheses are proposed:
1. It is possible to propose a source anonymization method for collecting sequential
data for LA, in a scalable manner and with a trade-off between privacy, accuracy and
utility.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. State of Art</title>
      <p>
        The MMLA research shows that all sequential data is not analyzed using only its sequential
properties. In [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] certain students’ interactions (click events) are quantified for applying
self-regulation, in this case time is not important, just the quantity of interactions occurred.
In sequential data such as SCRs (Skin Conductance Responses), researchers can analyze
arousal levels. It is possible to differentiate features such as amplitude and rise time of
peaks, but they can also be used to study temporally unfolding events by counting the
number of occurring peaks per minute [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. In [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] those metrics are used, considering both
sequential and frequency characteristics of the signal. Another very well extended
sequential data is eye tracking data. In [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] metrics related with the number of times students
look at certain AOIs (Areas of Interest) are related to time management, information
processing and so on. In this case the frequency characteristic is only used. On the other
hand, in [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], AOI metrics such as AOI hits and dwell time are used to analyze learning styles.
In this case the stored values are the current AOI observed over time and the total amount
of time spent over a specific AOI, using the sequential characteristic of data. In [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] the
metric JVA (Joint Visual Attention), is known as a strong predictor of the quality of a group’s
interaction and success. This metric is obtained by computing the number of times a pair or
team achieves joint visual attention. Also, in [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] researchers highlight they expect that a
series of advanced eye-tracking data privacy-preserving mechanisms for erasing sensitive
data from the raw dataset, aggregating data, enabling DP (Differential Privacy), and
providing AOI metrics and summary data of eye movement events could be developed in
the future.
      </p>
      <p>
        Considering the privacy preserving issue in LA, solutions had been proposed with a
general focus not specifically related to sequential data. The solution proposed in [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ],
develops a dataset, which contains data from courses presented at the Open University
(OU). It contains demographic data together with aggregated clickstream data of students’
interactions in the Virtual Learning Environment. The privacy solution used of ARX tool
[
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], which is an open-source software that implement a wide range of anonymization
techniques and evaluates potential risk of deidentification. This kind of solution requires
for researchers advanced knowledge about privacy preserving techniques. In [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], propose
the use of DP and generalization methods. Its solution considers tabular data, but it is
flexible and can be applied to unstructured and semi-structured data. [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] propose sharing
synthetic data as a solution for privacy in the context of training learning models. The
results demonstrate that models trained with synthetic data still have poor results when
validated with the original data. Another example of privacy preserving in LA is [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], where
an analysis between k-anonimity and DP is done, using machine learning technique for
decision, but do not consider the different kind of data used in multimodal analysis. [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]
proposed a privacy-protecting infrastructure for MOOC (Massive Open Online Courses) to
facilitate secure and replicable research over data. The study addresses the challenge of
balancing the need for data sharing and analysis in educational research. This solution is
based on the use a of hole framework, which is a complex compared with anonymization
tasks over raw data. In [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] devices were attached to students to capture physiological,
spatial, and audio data, along with video recordings of sessions. To address privacy issues,
identifying information was removed from the spatial and audio data dataset, and
nonverbal features were utilized to preserve participants' privacy. Nonetheless authors
consider the increasing use of sensors in learning analytics, calling for an open and regular
discussion about potential unintended issues.
      </p>
      <p>Privacy adapted to new challenges and types of sequential data in LA is an open issue.
Sequential data can be mainly treated to compute the frequency of certain events, compute
sequential characteristics or both. We propose to deal with this issue with the use of
DPbased and sketch count methods. DP is a well-known privacy mechanism used for
sequential and heterogeneous data types [22], [23], [24], [25], [26], and sketches are used
to summarize data using hash functions and providing useful information about frequency
and other time-related characteristics [27], [28], [29], [30]. They have the advantage of
being implemented on the user´s side, adding privacy during data collection. It is also a
scalable and cost-saving solution that reduce data size and storage requirements.
Combinations of both methods were exposed in [31], [32], [33].</p>
      <p>These techniques guarantee privacy preserving, utility, scalability, and the possibility of
saving space for collecting sequential data. Although these works apply these techniques
over general sequential data [33], [34], they have not been implemented and explored for
LA-related purposes.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology</title>
      <p>Our proposal entails designing, developing, and evaluating privacy-preserving methods for
LA sequential data, focusing specifically on techniques rooted in sketching and DP. The
research methodology proposed is based on DBR (Design-Based Research), which includes
designing, developing, and evaluating prototypical solutions [35]. DBR studies have
characteristics such as the occurrence of multiple iterations and the focus on the design and
evaluation of solution artifacts. For proving the proposal, we will select metrics from
students' interaction data logs in LMS (Learning Management Systems) and eye tracking
AOI, because of the multiple metrics computed over it using its frequency and sequential
characteristics. (Figure 1 Research Methodology (DBR))</p>
      <sec id="sec-3-1">
        <title>Stage 1:</title>
        <p>



</p>
      </sec>
      <sec id="sec-3-2">
        <title>Stage 2:</title>
      </sec>
      <sec id="sec-3-3">
        <title>Stage 3:</title>
        <sec id="sec-3-3-1">
          <title>Review of experiments collecting interaction students' data logs.</title>
          <p>Select metrics from interaction students' data logs used in LA with frequency
characteristics.</p>
          <p>Review of sketch methods for finding frequency items.</p>
          <p>Design and implement a sketch method for collecting interaction students' data logs.
Evaluation and adjustment of the implemented privacy techniques according to
utility metrics.



</p>
        </sec>
        <sec id="sec-3-3-2">
          <title>Review of experiments collecting eye tracking data. Select eye tracking metrics for AOI used in LA with frequency characteristics. Design and implement a sketch method for collecting eye tracking data and compute the selected AOI metrics.</title>
          <p>Evaluation and adjustment of the implemented privacy techniques according to
utility metrics.

</p>
          <p>Select eye tracking metrics for AOI used in LA with frequency and sequential
characteristics.</p>
          <p>Design DP and sketch methods for collecting and computing selected metrics.
Evaluation and adjustment of the privacy techniques according to privacy and utility
metrics.</p>
          <p>Final reflections: Conduct a general analysis of the results obtained in each cycle to
establish the possibility to extend the solution to other sequential data such as behavioral
interactions.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Current status of the work and results achieved</title>
      <p>Conducting a literature review, participating in a research stay in Coimbra, and planning
future experiments using eye tracking data and data from interaction with LMS.
Proceeding Series, Association for Computing Machinery, Mar. 2022, pp. 370–380. doi:
10.1145/3506860.3506935.
[22] Y. Zhao and J. Chen, “A Survey on Differential Privacy for Unstructured Data Content,”</p>
      <p>ACM Comput Surv, vol. 54, no. 10 s, Sep. 2022, doi: 10.1145/3490237.
[23] Q. Ye, H. Hu, N. Li, X. Meng, H. Zheng, and H. Yan, “Beyond value perturbation: Local
differential privacy in the temporal setting,” in Proceedings - IEEE INFOCOM, Institute
of Electrical and Electronics Engineers Inc., May 2021. doi:
10.1109/INFOCOM42981.2021.9488899.
[24] Z. Wang, W. Liu, X. Pang, J. Ren, Z. Liu, and Y. Chen, “Towards Pattern-aware
Privacypreserving Real-time Data Collection; Towards Pattern-aware Privacy-preserving
Real-time Data Collection,” 2020.
[25] J. Steil, I. Hagestedt, M. X. Huang, and A. Bulling, “Privacy-aware eye tracking using
differential privacy,” in Eye Tracking Research and Applications Symposium (ETRA),
Association for Computing Machinery, Jun. 2019. doi: 10.1145/3314111.3319915.
[26] G. Elkoumy, A. Pankova, and M. Dumas, “Differentially private release of event logs for
process mining,” Inf Syst, vol. 115, p. 102161, 2023.
[27] G. Cormode, M. Garofalakis, P. J. Haas, and C. Jermaine, “Synopses for massive data:
Samples, histograms, wavelets, sketches,” Foundations and Trends in Databases, vol.
4, no. 1–3, pp. 1–294, 2011, doi: 10.1561/1900000004.
[28] G. Cormode and S. Muthukrishnan, “An improved data stream summary: The
countmin sketch and its applications,” Journal of Algorithms, vol. 55, no. 1, pp. 58–75, Apr.
2005, doi: 10.1016/j.jalgor.2003.12.001.
[29] R. Gribonval, A. Chatalic, N. Keriven, V. Schellekens, L. Jacques, and P. Schniter,
“Sketching Data Sets for Large-Scale Learning: Keeping only what you need Sketching
Data Sets for Large-Scale Learning: Keeping only what you need. IEEE Signal
Processing Magazine Sketching Datasets for Large-Scale Learning-Keeping Only What
You Need,” vol. 38, no. 5, 2021, doi: 10.1109/MSP.2021.3092574ï.
[30] L. Melis, G. Danezis, and E. De Cristofaro, “Efficient Private Statistics with Succinct</p>
      <p>Sketches,” 2016.
[31] R. Balu and T. Furon, “Differentially private matrix factorization using sketching
techniques,” in IH and MMSec 2016 - Proceedings of the 2016 ACM Information Hiding
and Multimedia Security Workshop, Association for Computing Machinery, Inc, 2016,
pp. 57–62. doi: 10.1145/2909827.2930793.
[32] J. Wang and X. Li, “Secure Medical Data Collection in the Internet of Medical Things
Based on Local Differential Privacy,” Electronics (Switzerland), vol. 12, no. 2, Jan. 2023,
doi: 10.3390/electronics12020307.
[33] Y. Li, X. Lee, B. Peng, T. Palpanas, and J. Xue, “PrivSketch: A Private Sketch-Based
Frequency Estimation Protocol for Data Streams,” in International Conference on
Database and Expert Systems Applications, Springer, 2023, pp. 147–163.
[34] Q. Yang, F. Ji, and F. Liu, “An Efficient and Differential Privacy-Based Scheme for
Aggregating Mobility Datasets,” J Adv Transp, vol. 2024, 2024, doi:
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[35] S. Barab, K. Squire, S. Barab, and K. Squire, “Design-based research: putting a stake in
the ground design-based research: putting a stake in the ground, Vol. 8406.” 2009.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Appendices</title>
    </sec>
    <sec id="sec-6">
      <title>A. Design Base Research Scheme Methodology</title>
    </sec>
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