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				<title level="a" type="main">Personalized Navigation Recommendation for E-book Page Jump</title>
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							<persName><forename type="first">Boxuan</forename><surname>Ma</surname></persName>
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								<orgName type="department">Faculty of Art and Science</orgName>
								<orgName type="institution">Kyushu University</orgName>
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									<settlement>Fukuoka</settlement>
									<country key="JP">Japan</country>
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							<persName><forename type="first">Li</forename><surname>Chen</surname></persName>
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								<orgName type="department">Faculty of Information Science and Electrical Engineering</orgName>
								<orgName type="institution">Kyushu University</orgName>
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									<settlement>Fukuoka</settlement>
									<country key="JP">Japan</country>
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							<persName><forename type="first">Min</forename><surname>Lu</surname></persName>
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								<orgName type="institution">Akita University</orgName>
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									<settlement>Akita</settlement>
									<country key="JP">Japan</country>
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						<title level="a" type="main">Personalized Navigation Recommendation for E-book Page Jump</title>
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						<idno type="ISSN">1613-0073</idno>
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					<term>Reading behavior</term>
					<term>1E-book navigation</term>
					<term>educational data</term>
					<term>page recommendation</term>
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<div xmlns="http://www.tei-c.org/ns/1.0"><p>As the utilization of digital learning materials continues to rise in higher education, the accumulated operational log data provide a unique opportunity to analyze student reading behaviors. Previous works on reading behaviors for e-books have identified jump-back as frequent student behavior, which refers to students returning to previous pages to reflect on them during the reading. However, the lack of navigation in e-book systems makes finding the right page at once challenging. Students usually need to try several times to find the correct page, which indicates the strong demand for personalized navigation recommendations. This work aims to help the student alleviate this problem by recommending the right page for a jump-back. Specifically, we propose a model for personalized navigation recommendations based on neural networks. A two-phase experiment is conducted to evaluate the proposed model, and the experimental result on real-world datasets validates the feasibility and effectiveness of the proposed method.</p></div>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>E-books are rapidly gaining ground in recent years, transforming how we teach in higher education <ref type="bibr" target="#b28">[29,</ref><ref type="bibr" target="#b29">30]</ref>. Beyond their convenience, e-books provide a treasure trove of data through students' interactions with digital texts, something we cannot do with traditional textbooks. Hundreds of students read the same e-textbook in and out of class, and every interaction, from page flip to highlight and annotation, is recorded. Analyzing these data gives us exciting new possibilities to understand how students behave and improve education.</p><p>Meanwhile, despite the vast number of students using e-book systems, the system cannot understand students' intentions to offer students personalized learning experiences, and interactivities between the system and the students still need to be improved <ref type="bibr" target="#b37">[38,</ref><ref type="bibr" target="#b38">39]</ref>. One major challenge of such a system is designing "smart" interactions to improve student engagement and learning experience <ref type="bibr" target="#b22">[23]</ref>. For example, jump-back is a frequent behavior with strong user intention when students interact with ebooks <ref type="bibr" target="#b21">[22]</ref>. Many students often return to previous pages to review during the reading since they want to reread the difficult or missed concept that is not understood well when reading later pages or refer to the related content when doing quizzes or practices <ref type="bibr" target="#b22">[23]</ref>. However, the lack of navigation function of an e-book significantly influences its usability, for example, previous works found that students usually need to try several times to find the correct page without good navigation aids with the system <ref type="bibr" target="#b10">[11,</ref><ref type="bibr" target="#b22">23]</ref>.</p><p>Although much effort has been devoted to e-book navigation research, most of them only focus on designing e-book interfaces, ignoring the power of historical data. With the increasing availability of learner-e-book interaction data, one interesting question arises: Can we leverage data-driven techniques to help alleviate the navigation problem? More specifically, our objective is to explore how we can develop a model to understand user intentions and aid them in locating the most relevant previous pages for rereading. Figure <ref type="figure" target="#fig_0">1</ref> shows a simple example of the navigation problem we are going to deal with. Image a student is reading an e-textbook page, which gives an exercise problem and the solution about calculating the amount of information. To understand the exercise better, he/she attempts to reread the earlier page that explains the relevant concepts. Then, the system automatically detects the student's intention and recommends several relevant pages. For example, page 17, the page with the highest probability, describes the concept of information entropy theory. This problem is referred to as an automated navigation recommendation. The primary challenge here is to develop a data-driven model by considering the lecture content, preferences of the current user, and the historical jump-back behavior of all users for navigation recommendations.</p><p>In this paper, we studied the problem of automated navigation recommendations for e-books, which aims to provide more smart interactions between e-book systems and students. Using historical data, we proposed a model to recommend the right page for a jump-back based on user preference. Our experiments validate the effectiveness of the proposed method using real datasets from the courses at our university.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Related Work</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Analyzing E-book Reading Behaviors</head><p>Many researchers focus on analyzing learners' behaviors when they interact with e-textbook learning materials, aiming to understand how students learn and what they need when reading learning materials <ref type="bibr" target="#b0">[1,</ref><ref type="bibr" target="#b14">15,</ref><ref type="bibr" target="#b18">19,</ref><ref type="bibr" target="#b31">32]</ref>.</p><p>Considerable research efforts have been devoted to mining students browsing patterns based on their log data <ref type="bibr" target="#b25">[26,</ref><ref type="bibr" target="#b30">31]</ref>. For example, Majumdar et al. <ref type="bibr" target="#b23">[24]</ref> analyzed e-textbook logs during specific critical reading tasks to represent learners' reading behaviors with learning strategies such as critical reading. Ma et al. <ref type="bibr" target="#b21">[22]</ref> modeled and analyzed the differences in e-textbook reading behavior patterns between traditional face-to-face classes and online classes during the pandemic. Their results show that online lectures lead to more off-task behaviors. Some works pay attention to specific reading behaviors. Yin et al. <ref type="bibr" target="#b36">[37]</ref> grouped students into four clusters using k-means clustering, and their reading behavioral patterns were analyzed. Ma et al. <ref type="bibr" target="#b20">[21]</ref> extracted the jump-back behaviors from the e-textbook reading stream data and then systematically studied the behaviors from different perspectives. Following this line, they identified six content categories that give rise to jump-back incidents: explanation of concept and theorem, example problem and solution, assignments and in-class exercise, learning objectives, beginning of a new unit, and tutorial steps <ref type="bibr" target="#b22">[23]</ref>.</p><p>On the other hand, some researchers focus on the relationship between student learning behavior and their score, and e-book log data are used to predict student performance. Okubo et al. propose a recurrent neural network based method for predicting student performance using e-book log data <ref type="bibr" target="#b26">[27]</ref>. Junco et al. <ref type="bibr" target="#b9">[10]</ref> conducted linear regression analyses to determine whether e-book usage metrics predicted final course grades. In addition, the correlation between students' reading behaviors in an ebook system and their academic achievement is investigated to identify the key e-book features that may affect students' performance <ref type="bibr" target="#b5">[6]</ref> and engagement <ref type="bibr" target="#b34">[35]</ref>. Students' e-textbook interaction data can also be used to model student knowledge acquisition. Huang et al. <ref type="bibr" target="#b8">[9]</ref> proposed a knowledge tracing model that measures students' level of knowledge of the underlying concept by looking at the amount of time she/he has spent on the related pages of the e-book. Following these works, Akçapınar et al. <ref type="bibr" target="#b1">[2]</ref> analyzed students' e-textbook interaction data and developed an early warning system for students at risk of academic failure. Additionally, their other work explored students' reading approaches from etextbook data using theory-driven and data-driven approaches <ref type="bibr" target="#b0">[1]</ref>. The results identified three different reading approaches: deep, strategic, and surface.</p><p>Although e-book reading behaviors have been widely explored, most existing works aim at analyzing or visualizing data rather than studying historical data in depth to facilitate e-book interaction. These works inspire us to select useful interaction activities from e-book log data. We use these data further to build interaction techniques for navigation recommendations, which prior work has not done.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Facilitating Navigation of Learning Material</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.1.">Facilitating Video Navigation</head><p>A large number of works focus on the specific research of video navigation, as watching course videos is the most important activity for online learning platforms such as MOOCs <ref type="bibr" target="#b13">[14]</ref>. Some researchers focus on studying user behavior patterns and their implications <ref type="bibr" target="#b12">[13,</ref><ref type="bibr" target="#b16">17]</ref>. They find strong correlations between user behaviors and video content <ref type="bibr" target="#b7">[8]</ref>, interesting video segments can be detected through users' collective interactions (e.g., seek/scrub, play, pause) with the video <ref type="bibr" target="#b2">[3,</ref><ref type="bibr" target="#b6">7]</ref>. Based on these works, many video interfaces provide navigation distribution according to the historical data, and then detect user intention and recommend potential positions to go automatically. For example, Yadav et al. <ref type="bibr" target="#b33">[34]</ref> designed a system that provides nonlinear navigation in educational videos, which utilizes features derived from a combination of the audio and visual content of a video. Carlier et al. <ref type="bibr" target="#b3">[4]</ref> collect viewing statistics as users view a video and use these data to reinforce the recommendation of viewports for users. Kim et al. <ref type="bibr" target="#b11">[12]</ref> present a 2D video timeline with an embedded visualization of collective navigation traces and a visual summary representing points with frequent learner activity. Zhang et al. <ref type="bibr" target="#b38">[39]</ref> introduced an approach to segment videos and used a factorization machine model to provide navigation suggestions in MOOCs.</p><p>In general, the literature has pointed to interesting findings and inspired our work. However, these works are limited only to videos, which rely on visual and auditory elements and provide a more immersive passive viewing experience. At the same time, e-books focus on text and images, offer a one-way content consumption by reading, and need more user interaction. Therefore, methods designed for video cannot be applied directly to e-textbook systems in university environments.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.2.">Facilitating E-book Navigation.</head><p>There are also some works for the specific research of e-book navigation. One line of these works toward designing navigation functions of the interface, including book-marking, reading dashboard, and concept map. For example, Yoon et al. <ref type="bibr" target="#b37">[38]</ref> introduced Touch-Bookmark, a multitouch navigation technique for e-books. It enables users to bookmark a page in a casual manner and return to it quickly when required. However, the bookmark still needs to be set manually. Lu et al. <ref type="bibr" target="#b19">[20]</ref> developed a reading path dashboard to support the visualization of the reading path for students. Such a dashboard makes it easier for students to find their interests and confusion while a course is offered. However, it is insufficient for personalized navigation aid purposes. In contrast, technology-supported concept maps are also used for e-book navigation <ref type="bibr" target="#b4">[5,</ref><ref type="bibr" target="#b15">16,</ref><ref type="bibr" target="#b17">18,</ref><ref type="bibr" target="#b27">28,</ref><ref type="bibr" target="#b32">33]</ref>. In these approaches, pre-constructed concept maps are presented to learners, and they can use the map as a navigational aid by clicking on concept map nodes to move to the related page. While the problem is the pre-constructed concept maps are expensive as they need human expert labor. Even though some works try to generate concept maps automatically, they are difficult for students to comprehend, minimizing gains from using them as navigational tools <ref type="bibr" target="#b4">[5,</ref><ref type="bibr" target="#b17">18,</ref><ref type="bibr" target="#b32">33]</ref>.</p><p>Another line of these works is more similar to ours, which focuses on designing smart interactions by providing automated navigation recommendations for students. Yang et al. <ref type="bibr" target="#b35">[36]</ref> propose an e-book page ranking method to rank e-book pages automatically. The top-ranked e-book pages are then selected to form the reading recommendation. However, their method is used for preview purposes and only provides pre-class reading recommendations. Recently, Kang and Yin <ref type="bibr" target="#b10">[11]</ref> developed a recommendation system combining the TF-IDF model and page jumping model to recommend students the desired pages when reading, but their model tends to be simple and ignores user preferences.</p><p>In summary, previous works made a great success for e-book navigation. However, most works focus on interface design, and there was little work solving this problem using neural networks. Therefore, our work contributes to the current research by providing personalized navigation recommendations leveraging interaction history data and combining content and user preferences to predict and recommend pages for e-textbook navigation automatically when users touch the e-book progress bar.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Automated Navigation Framework</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Problem Formulation</head><p>Our goal is to make personalized recommendations to a student when he/she is planning to jump back to the previous page for review. More specifically, when a student clicks the cursor on the progress bar of an e-textbook, it triggers navigation recommendations automatically. Formally, given a learning material 𝑙, a student 𝑠, the start page 𝑝𝑠, the objective is to train a model to maximize the probability that student 𝑠 would jump back to the end page 𝑝𝑒 (𝑝𝑒 &lt; 𝑝𝑠) of the e-textbook 𝑙. Given enough log data, we aim to build a model to recommend the relevant pages for each learner at each page.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Model</head><p>As shown in Figure <ref type="figure" target="#fig_1">2</ref>, we propose a framework with deep learning. Specifically, for each jump-back log, we use the preferences of the corresponding student, the start page, and the end page with learning material characteristics as input. Then, the model learns the interaction function among the variables and outputs the correct probability of the end page.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.1.">Features</head><p>Inspired by previous studies, we extract the following features from the interaction data in our work, including user preference features, interaction features, and learning material features.</p><p>User Preference Features. Previous research showed that different students would have different jump-back patterns, such as the frequency of the jump-back, jump span, and the length of their read time after jumping to their desired page <ref type="bibr" target="#b22">[23]</ref>. These features are also helpful in predicting student performance <ref type="bibr" target="#b35">[36]</ref>. Therefore, we use the following features to identify specific student's personal preference 𝒑.</p><p>• Stay Time: the reading time after jumping to the student's desired page of the specific jump-back.</p><p>• Jump Span: the number of pages between the start and end pages of the specific jump-back. Interaction Features. These are the basic features that indicate the start and end positions for a specific jump-back behavior:</p><p>• Start Page: the corresponding page number of the start page.</p><p>• End Page: the corresponding page number of the start page. Learning Material Features. Previous works showed that features of the learning material also significantly affect students' jump-back behaviors <ref type="bibr" target="#b22">[23,</ref><ref type="bibr" target="#b38">39]</ref>. We first extract some basic features that describe the learning material's attributes and identify specific learning material's characteristics 𝒍. We also want to include some content-related features. However, they are hard to extract as the learning material includes texts and figures and is mainly in Japanese, so we leave it as our future work.</p><p>• Learning Material ID: identify a specific learning material in the dataset. Each learning material has a unique ID.</p><p>• Learning Material Length: total number of pages for a specific learning material.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.2.">Model Input and Predict Output</head><p>The student's characteristic is represented by the one-hot student embedding vector 𝒔 and student preference features 𝒑 we extracted before. It can be formulated as:</p><formula xml:id="formula_0">𝒔𝒑 = 𝒔 ⊕ 𝒑,<label>(1)</label></formula><p>where ⊕ is the concatenation operation. The start page and end page are specific pages in specific learning material. To capture the unique characteristic of each page, the start page is represented by integrating the one-hot page embedding vector 𝒑𝒔 and learning material preference 𝒍. It can be formulated as: 𝒑𝒔𝒍 = 𝒑𝒔 ⊕ 𝒍.</p><p>(2) Likewise, the end page is represented by integrating the one-hot page embedding vector 𝒑𝒆 and learning material preference 𝒍: 𝒑𝒆𝒍 = 𝒑𝒆 ⊕ 𝒍.</p><p>(3) After obtaining representations of the student, the start page, and the end page, we input them into the prediction layer, which includes two full connection layers and an output layer, to output the probability 𝑦ˆ that the student jumps to the end page. It can be formulated as:</p><p>𝑦 * = 𝜎 (𝑃𝑟𝑒𝑑 (𝒔𝒑, 𝒑𝒔𝒍, 𝒑𝒆𝒍)), (4) where 𝜎 is the sigmoid function.</p><p>The objective function is a binary cross-entropy loss function. For a specific student 𝑠 and the start page 𝑝𝑠, the ground truth is a jump-back behavior that truly happens, which means a student has jumped back to the end page 𝑝𝑠 from the start page 𝑝𝑒. Let 𝑦 be the ground truth, and 𝑦 * be the predicted probability. Using Adam optimization, all parameters are learned by minimizing the objective function given by:</p><formula xml:id="formula_1">𝐿 = ∑ 𝑦𝑙𝑜𝑔𝑦 * + (1 − 𝑦)𝑙𝑜𝑔(1 − 𝑦 *) ! . (<label>5</label></formula><formula xml:id="formula_2">)</formula></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Evaluation</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1.">Dataset</head><p>The datasets used in this study were reading logs collected in two information science courses offered to first-year undergraduate students at our university, one for the 1st-semester and another for the 2ndsemester. The instructor is the same, but the students are different, and the content is slightly changed. There are 16 e-textbook learning materials for the 1st-semester course, and 155 students attended the course, resulting in 580,510 log data. As for the 2nd-semester course, there are 23 e-textbook learning materials, and a total of 230 students attended the course, resulting in 884,327 log data. The length of each learning material is ranging from 7 pages to 61 pages. The instructors and each student used their computers and access to an e-book system to access learning materials. The basic operation of the system is to flip the page. Students can click the previous button to move to the previous page and click the next button to move to the subsequent page, and they could also use a slider to change pages. Students can also use markers and memo annotating for learning. However, we found these operations are rare in the dataset, so we focused on operations related to page flipping. As we mentioned before, students usually need a series of page-flip actions to find the right page when they jump back. Let (𝑠, 𝑙, 𝑝𝑠, 𝑝𝑒) denote a jump-back, which means student 𝑠 jumps back from the start page 𝑝𝑠 to the end page 𝑝𝑒 in learning material 𝑙 (𝑝𝑒 &lt; 𝑝𝑠). There are two basic scenarios of students going back to the previous page <ref type="bibr" target="#b20">[21,</ref><ref type="bibr" target="#b22">23]</ref>. The first illustrates a pattern in which the student goes back to a previous page of no interest and continues to look for the correct page that she/he desires to review <ref type="bibr" target="#b24">[25]</ref>. As shown in Figure <ref type="figure" target="#fig_2">3</ref>(a), the student turns over many pages to jump back to a previous page (𝑝𝑒).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2.">Data Preprocessing</head><p>Another pattern is the student jumps back far away from the desired page, and then she/he jumps forward to go to the correct page. As shown in Figure <ref type="figure" target="#fig_2">3</ref>(b), the student uses the slider to jump back to an early page first and then clicks the next button two times to jump to the correct page (𝑝𝑒). To extract the correct start page and end page, and filter the unnecessary page-flip behaviors, we use a deterministic finite automaton to construct the jump behaviors from the data based on previous work <ref type="bibr" target="#b22">[23]</ref>. Figure <ref type="figure" target="#fig_2">3</ref>(c) shows the overview of the DFA. There are four states: Ready, Record, Check, Dump. At the Ready state, it stays until it receives a jump back event (𝐽𝑏), then the state goes to Record. When the state is Record, it maintains a stack. When there are jump back events (𝐽𝑏) or jump forward (𝐽𝑓) events, it pushes all the events into the stack. After jumping to the desired page in the slide, the student would usually read for seconds. We name it a short-read event. Once there comes a short-read event (𝑆𝑟) or some other operations (e.g., the student uses maker or memo function) that indicates the student is seriously reading the page, the state transforms to Check state. According to the previous study <ref type="bibr" target="#b22">[23]</ref>, we tentatively set 2𝑠 ≤ 𝑆𝑟 ≤ 20𝑚𝑖𝑛. When the state is Check, it compares the start page (𝑝𝑠) of the event at the bottom of the stack and the end page (𝑝𝑒) of the event at the top of the stack. If 𝑝𝑒 &gt; 𝑝𝑠, the sequence of events in the stack constitutes a jump forward behavior, then the state goes back to Ready. Otherwise, the state transforms to Dump, where we aggregate the sequence of events in the stack to construct a complete jump behavior that filters the unnecessary page-flip behaviors and extracts the correct start page and end page.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3.">Experiment Settings</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3.1.">Evaluation Metrics</head><p>Like previous works <ref type="bibr" target="#b10">[11,</ref><ref type="bibr" target="#b35">36,</ref><ref type="bibr" target="#b38">39]</ref>, the experiment is conducted in the prediction and recommendation stages. First, the probability of each end page from the same start page will be predicted in the prediction stage. Then, the 𝑛 end pages with the highest probability will be used for navigation recommendations.</p><p>For the prediction experiment, we evaluate the performance in terms of Area Under Curve (AUC), Recall, Precision, and F1-score. For the recommendation experiment, we use hits@n to measure the recommendation performance. The full dataset was used in the experiment, using the first 80% for training and 20% for test purposes, respectively.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3.2.">Generating Negative Samples</head><p>In our experiment, a positive sample corresponds to a jump-back that truly occurs, denoted as (𝑠, 𝑙, 𝑝𝑠, 𝑝𝑒), which means student 𝑠 jumps back from the start page 𝑝𝑠 to the end page 𝑝𝑒 in learning material 𝑙 (𝑝𝑒 &lt; 𝑝𝑠). Following previous work <ref type="bibr" target="#b38">[39]</ref>, we generated several negative samples by choosing different end pages for each positive sample. Given a start page 𝑝𝑠, there is a list of end pages that all students have jumped back to. While for a specific user's specific jump-back, there is only one end page that the student truly jumps back to. In the remaining list of end pages, we randomly select 𝑛 end pages to generate negative samples. We set 𝑛 as 2 in the following experiments to avoid imbalanced data.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3.3.">Parameter Settings</head><p>The model was implemented in PyTorch and was trained with a batch size of 256. We used Adam optimizer with a learning rate of 0.001. The dropout rate is set to 0.2, and early stopping is applied to reduce overfitting. We named our model Neural Page Recommendation (NPR) and compared our model to models that were proposed in previous work <ref type="bibr" target="#b35">[36,</ref><ref type="bibr" target="#b38">39]</ref>, including models based on Logistic Regression (LR) and Support Vector Machine (SVM). To gain a deeper understanding of our model, we also add variations of our model. NPR-U is the variation that takes out user related features from the model, and NPR-LM is the variation that takes out learning material related features from the model. Table <ref type="table" target="#tab_0">1</ref> shows the performance of all baseline methods and our model. Overall, our model performs better than other machine learning methods, demonstrating that leveraging deep learning could model student interactions more accurately than other models. Moreover, we observed a significant performance drop for our model when taking out user-related features. This result aligns with previous work that students have their personal preferences when they jump back <ref type="bibr" target="#b22">[23]</ref> and indicates that incorporating user preference could effectively boost the model. Also, the performance of the NPR-LM model, which takes out learning material related features, only drops slightly. The reason may be that each learning material's content structure design is similar, and the relevant page is not so distant from the current one. Previous works suggested that the content information on each page may help find the right pages <ref type="bibr" target="#b10">[11,</ref><ref type="bibr" target="#b38">39]</ref>, and we will consider including such features in our model in the future.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.">RESULTS</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.1.">Prediction Performance</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.2.">Ranking Performance</head><p>In the predicting experiment, given a specific start page, we get the probability of each end page for a given jump-back. Then, we rank these end pages by their probabilities produced in the prediction stage, and a ranked list of 𝑛 end pages with the highest probability will be used for navigation recommendations. We compare our method with Random and Frequency-based recommendations <ref type="bibr" target="#b38">[39]</ref> for the ranking experiment. The Random approach randomly selects previous pages of the given start page. The Frequency-based approach recommends the most frequent end-pages of all students for a given start page. Table <ref type="table" target="#tab_1">2</ref> shows the result of the ranking experiment. It indicates that our model based on deep learning outperforms the other methods. The performance of Random recommendation is very low since there are many pages, and it is difficult to recommend the right end page. The Frequencybased approach performs better since the end pages that students reread frequently are usually related and considered important. However, it does not consider student preference, making it hard to provide personalized recommendations. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="6.">Conclusion</head><p>In this paper, we studied the problem of automated navigation recommendations for e-books, which aims at more smart interactions between e-book systems and students. We proposed a model to recommend the right pages for a jump-back. Our experiments validate the effectiveness of the proposed method using real datasets. Also, our results highlight the need for recommendation models that consider student's personal preferences. For future work, we consider including actual content information of each page in our model, which may include the rich information hidden within the texts and underlying topics. Also, we want to consider the dynamic behaviors of students before jump-backs to understand student intentions better and provide recommendations more intelligently.</p></div><figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_0"><head>Figure 1 :</head><label>1</label><figDesc>Figure 1: An example of jump-back recommendations. The different-sized circles represent possible end pages, where a larger circle means a more significant probability. The page with the highest probability describes the concept of information entropy theory.</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_1"><head>Figure 2 :</head><label>2</label><figDesc>Figure 2: Architecture for the proposed model.</figDesc><graphic coords="5,155.60,56.70,297.79,155.30" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_2"><head>Figure 3 :</head><label>3</label><figDesc>Figure 3: (a) and (b) Two basic jump back patterns. (c) Overview of the DFA.</figDesc><graphic coords="6,86.20,159.01,434.40,151.74" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_0"><head>Table 1</head><label>1</label><figDesc></figDesc><table><row><cell cols="2">Prediction Performance.</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>Dataset</cell><cell>Method</cell><cell>ACC</cell><cell>AUC</cell><cell>Precision</cell><cell>Recall</cell><cell>F1-score</cell></row><row><cell></cell><cell>SVM</cell><cell>0.612</cell><cell>0.512</cell><cell>0.467</cell><cell>0.701</cell><cell>0.561</cell></row><row><cell></cell><cell>LR</cell><cell>0.759</cell><cell>0.788</cell><cell>0.699</cell><cell>0.430</cell><cell>0.532</cell></row><row><cell>1st Semester</cell><cell>NPR-U</cell><cell>0.799</cell><cell>0.848</cell><cell>0.740</cell><cell>0.558</cell><cell>0.637</cell></row><row><cell></cell><cell>NPR-LM</cell><cell>0.846</cell><cell>0.929</cell><cell>0.778</cell><cell>0.712</cell><cell>0.744</cell></row><row><cell></cell><cell>NPR</cell><cell>0.850</cell><cell>0.933</cell><cell>0.785</cell><cell>0.718</cell><cell>0.750</cell></row><row><cell></cell><cell>SVM</cell><cell>0.616</cell><cell>0.522</cell><cell>0.447</cell><cell>0.778</cell><cell>0.568</cell></row><row><cell></cell><cell>LR</cell><cell>0.756</cell><cell>0.785</cell><cell>0.704</cell><cell>0.442</cell><cell>0.543</cell></row><row><cell>2nd Semester</cell><cell>NPR-U</cell><cell>0.792</cell><cell>0.841</cell><cell>0.732</cell><cell>0.570</cell><cell>0.641</cell></row><row><cell></cell><cell>NPR-LM</cell><cell>0.840</cell><cell>0.928</cell><cell>0.764</cell><cell>0.734</cell><cell>0.749</cell></row><row><cell></cell><cell>NPR</cell><cell>0.852</cell><cell>0.934</cell><cell>0.768</cell><cell>0.780</cell><cell>0.774</cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_1"><head>Table 2</head><label>2</label><figDesc>Ranking Performance.</figDesc><table><row><cell>Dataset</cell><cell>Method</cell><cell>hits@1</cell><cell>hits@2</cell><cell>hits@3</cell><cell>hits@4</cell><cell>hits@5</cell></row><row><cell></cell><cell>Random</cell><cell>0.090</cell><cell>0.168</cell><cell>0.241</cell><cell>0.306</cell><cell>0.362</cell></row><row><cell>1st Semester</cell><cell>Frequency</cell><cell>0.536</cell><cell>0.680</cell><cell>0.750</cell><cell>0.803</cell><cell>0.840</cell></row><row><cell></cell><cell>NPR</cell><cell>0.624</cell><cell>0.718</cell><cell>0.773</cell><cell>0.810</cell><cell>0.844</cell></row><row><cell></cell><cell>Random</cell><cell>0.082</cell><cell>0.169</cell><cell>0.238</cell><cell>0.299</cell><cell>0.359</cell></row><row><cell>2nd Semester</cell><cell>Frequency</cell><cell>0.511</cell><cell>0.650</cell><cell>0.726</cell><cell>0.781</cell><cell>0.820</cell></row><row><cell></cell><cell>NPR</cell><cell>0.598</cell><cell>0.705</cell><cell>0.761</cell><cell>0.800</cell><cell>0.828</cell></row></table></figure>
		</body>
		<back>

			<div type="acknowledgement">
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Acknowledgements</head><p>This work was supported by JSPS KAKENHI Grant Number: JP20H00622, JP23K1136, JP22H00552, JP21K18134.</p></div>
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