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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Bioeng. Biotechnol.</journal-id>
<journal-title>Frontiers in Bioengineering and Biotechnology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Bioeng. Biotechnol.</abbrev-journal-title>
<issn pub-type="epub">2296-4185</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">843204</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2022.843204</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Bioengineering and Biotechnology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Automatic Classification of Barefoot and Shod Populations Based on the Foot Metrics and Plantar Pressure Patterns</article-title>
<alt-title alt-title-type="left-running-head">Xiang et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Foot Automatic Classification</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Xiang</surname>
<given-names>Liangliang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1238262/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gu</surname>
<given-names>Yaodong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/505995/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mei</surname>
<given-names>Qichang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/644283/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Alan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/905415/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shim</surname>
<given-names>Vickie</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/962455/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fernandez</surname>
<given-names>Justin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1440886/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Sports Science</institution>, <institution>Ningbo University</institution>, <addr-line>Ningbo</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Research Academy of Grand Health</institution>, <institution>Ningbo University</institution>, <addr-line>Ningbo</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Auckland Bioengineering Institute</institution>, <institution>The University of Auckland</institution>, <addr-line>Auckland</addr-line>, <country>New&#x20;Zealand</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Faculty of Medical and Health Sciences</institution>, <institution>The University of Auckland</institution>, <addr-line>Auckland</addr-line>, <country>New&#x20;Zealand</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Engineering Science</institution>, <institution>The University of Auckland</institution>, <addr-line>Auckland</addr-line>, <country>New&#x20;Zealand</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/124236/overview">Rezaul Begg</ext-link>, Victoria University, Australia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1559192/overview">Alessandro Garofolini</ext-link>, Victoria University, Australia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/230630/overview">Chi-Wen Lung</ext-link>, Asia University, Taiwan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yaodong Gu, <email>guyaodong@nbu.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Biomechanics, a section of the journal Frontiers in Bioengineering and Biotechnology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>843204</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Xiang, Gu, Mei, Wang, Shim and Fernandez.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Xiang, Gu, Mei, Wang, Shim and Fernandez</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>The human being&#x2019;s locomotion under the barefoot condition enables normal foot function and lower limb biomechanical performance from a biological evolution perspective. No study has demonstrated the specific differences between habitually barefoot and shod cohorts based on foot morphology and dynamic plantar pressure during walking and running. The present study aimed to assess and classify foot metrics and dynamic plantar pressure patterns of barefoot and shod people via machine learning algorithms. One hundred and forty-six age-matched barefoot (<italic>n</italic>&#x20;&#x3d; 78) and shod (<italic>n</italic>&#x20;&#x3d; 68) participants were recruited for this study. Gaussian Na&#xef;ve Bayes were selected to identify foot morphology differences between unshod and shod cohorts. The support vector machine (SVM) classifiers based on the principal component analysis (PCA) feature extraction and recursive feature elimination (RFE) feature selection methods were utilized to separate and classify the barefoot and shod populations via walking and running plantar pressure parameters. Peak pressure in the M1-M5 regions during running was significantly higher for the shod participants, increasing 34.8, 37.3, 29.2, 31.7, and 40.1%, respectively. The test accuracy of the Gaussian Na&#xef;ve Bayes model achieved an accuracy of 93%. The mean 10-fold cross-validation scores were 0.98 and 0.96 for the RFE- and PCA-based SVM models, and both feature extract-based and feature select-based SVM models achieved an accuracy of 95%. The foot shape, especially the forefoot region, was shown to be a valuable classifier of shod and unshod groups. Dynamic pressure patterns during running contribute most to the identification of the two cohorts, especially the forefoot region.</p>
</abstract>
<kwd-group>
<kwd>gait</kwd>
<kwd>barefoot</kwd>
<kwd>plantar pressure</kwd>
<kwd>foot shape</kwd>
<kwd>support vector machine (SVM)</kwd>
<kwd>naive Bayes</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The human being&#x2019;s locomotion under the barefoot condition enables normal foot function and lower limb biomechanical performance from a biological evolution perspective (<xref ref-type="bibr" rid="B12">D&#x2019;Ao&#xfb;t et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B25">Lieberman, 2012</xref>). Previous studies have found that foot morphology is different for the habitual shod and barefoot cohorts (<xref ref-type="bibr" rid="B12">D&#x2019;Ao&#xfb;t et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B31">Shu et&#x20;al., 2015</xref>). Functional performances of lower limbs during gait are affected by foot morphology (<xref ref-type="bibr" rid="B45">Zhang and Lu, 2020</xref>; <xref ref-type="bibr" rid="B40">Xiang et&#x20;al., 2020a</xref>; <xref ref-type="bibr" rid="B42">Xiang et&#x20;al., 2020b</xref>). <xref ref-type="bibr" rid="B24">Lieberman et&#x20;al. (2010)</xref> demonstrated that barefoot runners with forefoot strike could decrease impact force compared to shod runners with the rearfoot strike pattern. Foot intrinsic muscle and longitudinal arch function may be affected for the habitually shod population (<xref ref-type="bibr" rid="B25">Lieberman, 2012</xref>; <xref ref-type="bibr" rid="B13">Davis et&#x20;al., 2017</xref>). The barefoot population also presented a lower injury incidence in the ankle and knee joints than their shod counterparts (<xref ref-type="bibr" rid="B2">Altman and Davis, 2016</xref>). In a given year, 79% of shod runners suffered from running-related injuries (<xref ref-type="bibr" rid="B35">van Gent et&#x20;al., 2007</xref>).</p>
<p>On the other hand, opponents argue that without the protection and cushioning function provided by modern shoes, the injury incidence of the foot and calf will be increased (<xref ref-type="bibr" rid="B2">Altman and Davis, 2016</xref>). Cushioning shoes have been highly researched in recent years (<xref ref-type="bibr" rid="B32">Sinclair et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B7">Chan et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B21">Hannigan and Pollard, 2019</xref>). Both instantaneous loading rate and peak tibial acceleration were significantly increased in barefoot running, providing no footwear midsole support, and cushioning, compared with cushioned shoes (<xref ref-type="bibr" rid="B32">Sinclair et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B1">Agresta et&#x20;al., 2018</xref>). Barefoot running has gained popularity in recent years. However, runners transitioning to barefoot running are more prone to injury than the habitual barefoot population (<xref ref-type="bibr" rid="B2">Altman and Davis, 2016</xref>). Therefore, understanding foot biomechanical differences between barefoot and shod folks could help to decrease the injury rate among novice barefoot runners.</p>
<p>Plantar pressure is the salient parameter in gait evaluation and injury detection (<xref ref-type="bibr" rid="B18">Fern&#xe1;ndez-Segu&#xed;n et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B26">Maiwald et&#x20;al., 2018</xref>). <xref ref-type="bibr" rid="B4">Bergstra et&#x20;al. (2015)</xref> found that running with minimalist running shoes increased the plantar pressure in the forefoot region compared to conventional running shoes. Given the gait differences cause by the shod habit, there is still a lack of understanding of the unique gait patterns of barefoot and shod people and how these differences are attributed to gait function performance and injury prevention.</p>
<p>Machine learning algorithms are widely used in sport-specific movement recognition and gait biomechanics (<xref ref-type="bibr" rid="B20">Halilaj et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B11">Cust et&#x20;al., 2019</xref>). It can successfully identify and classify gait characteristics based on plantar pressure variables (<xref ref-type="bibr" rid="B3">Bennetts et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B23">Li et&#x20;al., 2020</xref>). Na&#xef;ve Bayes classifiers greatly simplify learning based on Bayes&#x2019; rule and assuming that the attributes are conditionally independent given the class (<xref ref-type="bibr" rid="B30">Rish, 2001</xref>). Physical activity and falls could be detected using wireless sensors embedded with the Na&#xef;ve Bayes algorithm (<xref ref-type="bibr" rid="B43">Yang et&#x20;al., 2010</xref>). The support vector machine (SVM) found the optimal separating hyperplane that maximizes the margin of separation between categories through a decision boundary (<xref ref-type="bibr" rid="B36">Vapnik, 1998</xref>). In SVM, the input matrix was transformed into a high dimension space using the different types of kernel algorithms, including linear and non-linear methods (<xref ref-type="bibr" rid="B19">Fukuchi et&#x20;al., 2011</xref>). <xref ref-type="bibr" rid="B38">Wu and Wang (2008)</xref> reported that the SVM algorithms combined with principal component analysis (PCA)-based feature extract techniques could be used to classify gait patterns based on ground reaction force. Spatiotemporal features depicted good performance in identifying young and elderly gait pattern differences via SVM classifiers with a linear kernel (<xref ref-type="bibr" rid="B16">Taylor et&#x20;al., 2013</xref>). Based on foot-ankle kinematics and kinetics data, SVM can classify runners with different running experience levels (<xref ref-type="bibr" rid="B33">Suda et&#x20;al., 2020</xref>). The study from <xref ref-type="bibr" rid="B10">Clermont et&#x20;al. (2017)</xref> separated and classified the competitive and recreational runners via the SVM model using lower limb kinematics as input&#x20;data.</p>
<p>To the best of our knowledge, even though the present evidence illustrates the differences between habitually barefoot and shod groups, no study has demonstrated the specific differences between them based on foot morphology, and dynamic plantar pressure during walking and running. Traditional questionnaires on shoe-wearing habits are subjective and cannot provide objective foot shape and functional information. In contrast, machine learning with population-based foot shape and plantar pressure measures can be used to classify habitually barefoot and shod groups more broadly from an adapted biomechanics perspective. The primary objective of this study was to assess and classify foot shape and dynamic plantar pressure patterns between barefoot and shod populations via the Na&#xef;ve Bayes and SVM algorithms. It was hypothesized that shod and unshod cohorts could be separated, and the differences between groups would be primarily related to the plantar pressure beneath the big toe and first-fifth metatarsals (M1-M5).</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Participants</title>
<p>One hundred and forty-six age-matched barefoot (<italic>n</italic>&#x20;&#x3d; 78) and shod (<italic>n</italic>&#x20;&#x3d; 68) participants were recruited for this study. The anthropometric parameters included age: 21.3&#xa0;years, mass: 68.7&#x20;&#xb1; 6.3&#xa0;kg, height: 1.73&#x20;&#xb1; 0.06&#xa0;m and BMI: 23.0&#x20;&#xb1; 1.3&#xa0;kg/m<sup>2</sup> for the barefoot population and age: 22.1&#xa0;years, mass: 71.2&#x20;&#xb1; 6.1&#xa0;kg, height: 1.76&#x20;&#xb1; 0.04&#xa0;m and BMI: 22.9&#x20;&#xb1; 1.4&#xa0;kg/m<sup>2</sup> for the habitual shod population. The BMI of all included participants was within the normal range (BMI 18.5&#x2013;25&#xa0;kg/m<sup>2</sup>). The experimental and data collection protocol was approved by the local Ethics Committee (RAGH20170306). The unshod population was from southern Indian volunteers exhibiting habitual barefoot gait since birth, and the shod cohort was from China. All participants were free from lower limb injury in the previous 6&#xa0;months and were informed of the experimental protocols, objectives, and requirements, and informed written consent was obtained from participants before the experiment.</p>
</sec>
<sec id="s2-2">
<title>2.2 Data Collection and Processing</title>
<p>the foot shape of each participants&#x2019; right foot was scanned using the Easy-Foot-Scan (OrthoBaltic, Kaunas, and Lithuania). The resolution, smooth factor, and hole filling parameters were set as 1.0, 30, and 100&#xa0;mm, respectively (<xref ref-type="bibr" rid="B41">Xiang et&#x20;al., 2018</xref>). Participants normally stand with shoulder width between their legs while scanning (<xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>). The plantar pressure was collected from a Novel EMED&#xae; force plate (Novel GmbH, Munich, Germany) fixed in the middle of a 15&#xa0;m gait path with the same surrounding dimensions in the gait laboratory (<xref ref-type="fig" rid="F1">Figure&#x20;1B</xref>). The frequency of recording the dynamic plantar pressure pattern was 100&#xa0;Hz. Before the data collection, each participant spent 5&#xa0;mins on the lab setting familiarization. A self-selected gait speed was adopted for each participant during plantar pressure collection to enable the natural gait patterns. Walking and running speeds were 1.3&#x20;&#xb1; 0.3&#xa0;m/s and 3.0&#x20;&#xb1; 0.4&#xa0;m/s for barefoot people and 1.2&#x20;&#xb1; 0.2&#xa0;m/s and 3.0&#x20;&#xb1; 0.4&#xa0;m/s for shod participants. A mid-gait protocol was used for both walking and running sessions (<xref ref-type="bibr" rid="B37">Wearing et&#x20;al., 1999</xref>). Specifically, the fourth step was captured for each trial, followed by four steps after striking the pressure plate. More details of this experimental protocol can be reviewed in our previous study (<xref ref-type="bibr" rid="B27">Mei et&#x20;al., 2019</xref>). Data were discarded if the participant presented any gait adjustment or the foot was not in full contact with the force plate for each trial. Finally, four successful trials with the right foot striking on the force plate of each session were obtained for further data processing. The mean of four trials for each participant was used for further analyses.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Foot morphology measurement and parameters <bold>(A)</bold> and Foot pressure measurement and plantar region division <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fbioe-10-843204-g001.tif"/>
</fig>
<p>Foot morphology parameters included foot length, foot width, heel width, the distance between the hallux and the second toe (hallux distance), the angle between the hallux and the second toe (hallux angle), and arch index. Those six variables were inputted for the na&#xef;ve Bayes classifier. The hallux angle is the angle created by the deviation of the hallux away from the tangent line connecting the medial heel and medial forefoot. Details of calculating the hallux distance and angle are shown in our previous study (<xref ref-type="bibr" rid="B31">Shu et&#x20;al., 2015</xref>). We evaluated the arch index as the midfoot divided by the whole foot regions except the toes (<xref ref-type="bibr" rid="B27">Mei et&#x20;al., 2019</xref>). With the assistance of the Novel data processing software (Munich, Germany), the pressure data were collected, including 11 regions within the foot plantar surface, specifically: big toe (BT), other toes (OT), M1-M5, medial midfoot (MM), lateral midfoot (LM), medial rearfoot (MR) and lateral rearfoot (LR), and with further details in our previous study (<xref ref-type="bibr" rid="B27">Mei et&#x20;al., 2019</xref>). Peak pressure can well-represent foot loading characteristics during walking and running and is the most commonly used plantar pressure parameter in previous studies. Therefore, peak pressure was recorded in this study. So, 22 features were considered for the use of the SVM algorithm.</p>
</sec>
<sec id="s2-3">
<title>2.3 Data Preprocessing and Machine Learning Approaches</title>
<sec id="s2-3-1">
<title>2.3.1 Feature Extraction and Selection</title>
<p>The PCA algorithm was used for dimensionality reduction and feature extraction from raw plantar pressure data. The explained variance ratio for each principal component (PC) from 22 variables 1) and 1st and 2nd&#xa0;PCs classed for barefoot and shod groups 2) are depicted in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. The eigenvalues that explain the percentage of cumulative variance were set as 90%. Eleven PCs features were extracted for the SVM classifier.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Explained variance percentage by each PC <bold>(A)</bold> and plot of 1<sup>st</sup> and 2<sup>nd</sup> PCs for barefoot and shod groups <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fbioe-10-843204-g002.tif"/>
</fig>
<p>A recursive feature elimination (RFE) method was used for variable selection. During the selection of the optimal number of features, SVC with a linear kernel was used as the estimator. To obtain an unbiased accuracy for the feature selection and keep the un-seen test data, the feature raking was integrated into a five-fold cross-validation procedure (<xref ref-type="bibr" rid="B15">Dindorf et&#x20;al., 2021</xref>). After recursively ranking the features&#x2019; importance, 16 features were left preserving the highest cross-validation accuracy obtained from the whole 22 features (as shown in <xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>). These variables include BT, M2, M4, MM, LM, MR, and LR in walking plantar pressure pattern and BT, M1-M5, LM, MR, and LR in running gait. t-Distributed Stochastic Neighbor Embedding (t-SNE) is a great tool to visualize high-dimensional data in a two-dimensional space by minimizing the Kullback-Leibler divergence. t-SNE visualization of 16 variables for the classification of barefoot and shod groups are shown in <xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The number of features selected alter cross-validation score <bold>(A)</bold>, t-SNE visualization of selected 16 features <bold>(B)</bold>. Orange color denotes features from walking and green color indicates features from running.</p>
</caption>
<graphic xlink:href="fbioe-10-843204-g003.tif"/>
</fig>
</sec>
<sec id="s2-3-2">
<title>2.3.2 SVM and Naive Bayes Classifiers</title>
<p>Logistic regression, K nearest neighbor, SVM, Na&#xef;ve Bayes, decision tree, random forest, and XGBoost were adopted as classifier candidates. In this study, we selected SVM to classify plantar pressure and Gaussian Na&#xef;ve Bayes to identify foot metrics differences between unshod and shod cohorts based on the performance of 10-fold cross-validation. All variables were standardized during the data preprocessing to a mean of 0 and a standard deviation of 1. Data were split to 70% for training and validation and 30% for testing.</p>
<p>The SVM algorithm constructs a hyperplane that aims to separate between classes in the present dataset by maximizing the margin using support vectors. Feature extraction and selection were performed separately for the SVM algorithm based on the present plantar pressure data. To avoid the limitation of the linear kernel, a Gaussian radial basis kernel was selected for the SVM&#x20;model.</p>
<p>Regularization combats overfitting by making the model coefficients or weights smaller. More regularization causes lower training accuracy and higher test accuracy (underfitting), and vice versa. A larger C during regularization can lead to overfitting. Specifically, the soft margin parameter of C means the trade-off between margin width and misclassification rate (<xref ref-type="bibr" rid="B19">Fukuchi et&#x20;al., 2011</xref>). A small gamma in the SVM model leads to smoother boundaries, and a larger gamma leads to more complex boundaries. In order to balance the accuracy of the model and avoid overfitting-underfitting problems, hyperparameter tuning using k-fold gride search cross-validation (GridSearchCV) was performed. A C-parameter was chosen as 1 from the range of C: {0.01, 0.1, 1, 10, and 100}, gamma was selected as 0.1 from the range of gamma: {0.0001, 0.001, 0.01, 0.1, and&#x20;1}.</p>
<p>To assess the ability of the classifier in predicting categories, 10-fold cross-validation was employed (<xref ref-type="bibr" rid="B19">Fukuchi et&#x20;al., 2011</xref>). Training and validation data were separated into ten subsets to determine the cross-validation performance. Nine subsets were used for training the classifier for each validation, and one subset was used for testing. Accuracy, precision, recall, F1-score, and the Matthews correlation coefficient were employed to evaluate classifiers&#x2019; performance.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Statistical Analysis</title>
<p>A Shapiro-Wilk test was performed to examine data normality. The statistical difference between barefoot and shod groups was checked using an independent t-test in Python with the SciPy library. The significance level was set at <italic>p</italic>&#x20;&#x3c;&#x20;0.05.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Foot Shape and Plantar Pressure</title>
<p>The foot and heel width are 120.0&#x20;&#xb1; 11.6 and 62.8&#x20;&#xb1; 4.8&#xa0;mm in the barefoot groups, corresponding with 111.1&#x20;&#xb1; 13.1&#xa0;mm (<italic>p</italic>&#x20;&#x3c; 0.01) and 59.7&#x20;&#xb1; 3.6&#xa0;mm (<italic>p</italic>&#x20;&#x3c; 0.01) in the shod group (<xref ref-type="table" rid="T1">Table&#x20;1</xref>). Hallux distance and hallux angle present significant differences statistically (<italic>p</italic>&#x20;&#x3c; 0.01 and <italic>p</italic>&#x20;&#x3c;&#x20;0.01).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Participant and foot shape information.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Barefoot</th>
<th align="center">Shod</th>
<th align="center">t-statistic</th>
<th align="center">
<italic>p</italic>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Height (cm)</td>
<td align="char" char="plusmn">172.9&#x20;&#xb1; 5.7</td>
<td align="char" char="plusmn">176.0&#x20;&#xb1; 4.2</td>
<td align="char" char=".">&#x2212;3.78</td>
<td align="char" char=".">&#x3c;0.01&#x2a;</td>
</tr>
<tr>
<td align="left">Mass (kg)</td>
<td align="char" char="plusmn">68.7&#x20;&#xb1; 6.3</td>
<td align="char" char="plusmn">71.2&#x20;&#xb1; 6.1</td>
<td align="char" char=".">&#x2212;2.42</td>
<td align="char" char=".">0.02&#x2a;</td>
</tr>
<tr>
<td align="left">BMI (kg/m<sup>2</sup>)</td>
<td align="char" char="plusmn">23.0&#x20;&#xb1; 1.3</td>
<td align="char" char="plusmn">22.9&#x20;&#xb1; 1.4</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.98</td>
</tr>
<tr>
<td align="left">Hallux distance (mm)</td>
<td align="char" char="plusmn">25.3&#x20;&#xb1; 12.1</td>
<td align="char" char="plusmn">5.9&#x20;&#xb1; 6.3</td>
<td align="char" char=".">11.84</td>
<td align="char" char=".">&#x3c;0.01&#x2a;</td>
</tr>
<tr>
<td align="left">Hallux angle (&#xb0;)</td>
<td align="char" char="plusmn">0.6&#x20;&#xb1; 4.4</td>
<td align="char" char="plusmn .">&#x2212;8.6&#x20;&#xb1; 4.7</td>
<td align="char" char=".">12.30</td>
<td align="char" char=".">&#x3c;0.01&#x2a;</td>
</tr>
<tr>
<td align="left">Foot length (mm)</td>
<td align="char" char="plusmn">259.2&#x20;&#xb1; 13.0</td>
<td align="char" char="plusmn">257.0&#x20;&#xb1; 11.6</td>
<td align="char" char=".">1.08</td>
<td align="char" char=".">0.28</td>
</tr>
<tr>
<td align="left">Foot width (mm)</td>
<td align="char" char="plusmn">120.0&#x20;&#xb1; 11.6</td>
<td align="char" char="plusmn">111.1&#x20;&#xb1; 13.1</td>
<td align="char" char=".">4.37</td>
<td align="char" char=".">&#x3c;0.01&#x2a;</td>
</tr>
<tr>
<td align="left">Heel width (mm)</td>
<td align="char" char="plusmn">62.8&#x20;&#xb1; 4.8</td>
<td align="char" char="plusmn">59.7&#x20;&#xb1; 3.6</td>
<td align="char" char=".">4.40</td>
<td align="char" char=".">&#x3c;0.01&#x2a;</td>
</tr>
<tr>
<td align="left">Arch index</td>
<td align="char" char="plusmn">0.2&#x20;&#xb1; 0.02</td>
<td align="char" char="plusmn">0.2&#x20;&#xb1; 0.02</td>
<td align="char" char=".">1.22</td>
<td align="char" char=".">0.22</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a; represents <italic>p</italic>&#x20;&#x3c; 0.05.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The boxplot of plantar pressure for the walking (A) and running (B) between barefoot and shod groups is shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>. The independent t-test showed that peak pressure in the barefoot group during walking was decreased significantly in the M2 (33.0%), M4 (21.2%), MM (15.3%), LM (8.8%), MR (24.7%), and LR (19.2%). For the shod group, peak pressure in the M1-M5 during running was significantly higher than the counterparts, increasing 34.8, 37.3, 29.2, 31.7, and 40.1%, respectively. LM, MR and LR also presented the increased peak pressure in the shod group (18.7, 53.3, and 50.8%, respectively).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The peak pressure of barefoot and shod cohorts during walking <bold>(A)</bold> and running <bold>(B)</bold>. Note: &#x2a; represents <italic>p</italic>&#x20;&#x3c; 0.05.</p>
</caption>
<graphic xlink:href="fbioe-10-843204-g004.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 The Performance of Classifiers</title>
<p>Regarding the foot morphology of barefoot and shod populations, the cross-validation accuracy of the Gaussian Na&#xef;ve Bayes model achieved an accuracy of 89%, while the accuracy of the test dataset achieved was 93% (<xref ref-type="table" rid="T2">Table&#x20;2</xref>). For the resulting RFE-based SVM model, the average 10-fold cross-validation score was 0.98, and the PCA-based SVM model achieved a mean score of 0.96. Both feature extract-based and feature select-based SVM models achieved the test accuracy of 95%. The confusion matrixes of the Gaussian Na&#xef;ve Bayes and SVM models are presented in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>. The classification report is shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The classification report of SVM classifiers.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left"/>
<th align="center">Number of observations</th>
<th align="center">Cross- validation accuracy</th>
<th align="center">Accuracy</th>
<th align="center">Precision</th>
<th align="center">Recall</th>
<th align="center">F1-score</th>
<th align="center">Matthews correlation coefficient</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="left">Na&#xef;ve Bayes</td>
<td align="left">
<italic>Validation dataset</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Barefoot</td>
<td align="char" char=".">53</td>
<td align="char" char=".">0.89</td>
<td align="left"/>
<td align="char" char=".">0.89</td>
<td align="char" char=".">0.91</td>
<td align="char" char=".">0.90</td>
<td align="char" char=".">0.78</td>
</tr>
<tr>
<td align="left">Shod</td>
<td align="char" char=".">49</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">0.90</td>
<td align="char" char=".">0.88</td>
<td align="char" char=".">0.89</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<italic>Test dataset</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Barefoot</td>
<td align="char" char=".">25</td>
<td align="left"/>
<td align="char" char=".">0.93</td>
<td align="char" char=".">1.00</td>
<td align="char" char=".">0.88</td>
<td align="char" char=".">0.94</td>
<td align="char" char=".">0.87</td>
</tr>
<tr>
<td align="left">Shod</td>
<td align="char" char=".">19</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">0.86</td>
<td align="char" char=".">1.00</td>
<td align="char" char=".">0.93</td>
<td align="left"/>
</tr>
<tr>
<td align="left">SVM</td>
<td align="left">
<italic>Validation dataset</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">PCA-based SVM model</td>
<td align="left">Barefoot</td>
<td align="char" char=".">54</td>
<td align="char" char=".">0.96</td>
<td align="left"/>
<td align="char" char=".">0.93</td>
<td align="char" char=".">1.00</td>
<td align="char" char=".">0.96</td>
<td align="char" char=".">0.92</td>
</tr>
<tr>
<td align="left">Shod</td>
<td align="char" char=".">48</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">1.00</td>
<td align="char" char=".">0.92</td>
<td align="char" char=".">0.96</td>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">RFE-based SVM model</td>
<td align="left">Barefoot</td>
<td align="char" char=".">51</td>
<td align="char" char=".">0.98</td>
<td align="left"/>
<td align="char" char=".">0.98</td>
<td align="char" char=".">0.98</td>
<td align="char" char=".">0.98</td>
<td align="char" char=".">0.96</td>
</tr>
<tr>
<td align="left">Shod</td>
<td align="char" char=".">51</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">0.98</td>
<td align="char" char=".">0.98</td>
<td align="char" char=".">0.98</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<italic>Test dataset</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">PCA-based SVM model</td>
<td align="left">Barefoot</td>
<td align="char" char=".">24</td>
<td align="left"/>
<td align="char" char=".">0.95</td>
<td align="char" char=".">0.96</td>
<td align="char" char=".">0.96</td>
<td align="char" char=".">0.96</td>
<td align="char" char=".">0.91</td>
</tr>
<tr>
<td align="left">Shod</td>
<td align="char" char=".">20</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">0.95</td>
<td align="char" char=".">0.95</td>
<td align="char" char=".">0.95</td>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">RFE-based SVM model</td>
<td align="left">Barefoot</td>
<td align="char" char=".">27</td>
<td align="left"/>
<td align="char" char=".">0.95</td>
<td align="char" char=".">0.93</td>
<td align="char" char=".">1.00</td>
<td align="char" char=".">0.96</td>
<td align="char" char=".">0.91</td>
</tr>
<tr>
<td align="left">Shod</td>
<td align="char" char=".">17</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">1.00</td>
<td align="char" char=".">0.88</td>
<td align="char" char=".">0.94</td>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: SVM, support vector machine; PCA, principal component analysis; RFE, recursive feature elimination.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The confusion matrix of training <bold>(A)</bold> and test dataset <bold>(B)</bold> of Na&#xef;ve Bayes classifier; the confusion Matrix of test dataset for RFE-based SVM model <bold>(C)</bold> and for PCA-based SVM model <bold>(D)</bold>.</p>
</caption>
<graphic xlink:href="fbioe-10-843204-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<p>Our study proposes a method that enhances routinely used plantar pressure patterns by integrating with foot shape to broaden the classification of shod and barefoot individuals. Plantar pressure is easily measured in gait labs and available in many sports store fitting rooms. Additionally, modern phones are now able to capture foot shape with downloaded apps and our technique is designed to utilise this shape metric to broaden prediction capability. The foot shape of barefoot runners has been clearly documented to be a good predictor in terms of hallux-spacing (<xref ref-type="bibr" rid="B31">Shu et&#x20;al., 2015</xref>). Where our method is advantageous is with amateur runners who are wanting to attempt barefoot running but may not have the appropriate foot shape and plantar pressure profile associated with adapted barefoot runners. Our algorithm will highlight if they share barefoot characteristics and can transition easily, or do not fit the traditional barefoot profile, and should transition with&#x20;care.</p>
<p>The present study identifies unique foot morphology and plantar pressure patterns between barefoot and shod cohorts via the Na&#xef;ve Bayes and SVM with the different feature selection and extraction methods. Consistent with our hypothesis, dynamic pressure during locomotion could be utilized to separate and classify the barefoot and shod categories with an accuracy of over 95%. Foot shape also is a critical index for identifying these two groups. Focused on foot shape and pressure to understand and classify them is more accurate and appropriate. Furthermore, barefoot running has got popular in recent years. Some runners may suffer injuries during translating to barefoot running. However, these could not be evaluated or directly measured. Using the machine learning approaches in this study, we could identify people who could and when translated loading patterns during running using foot shape and function measures. Therefore, this method could help identify if gait from a novice barefoot runner translates to habitually barefoot&#x20;gait.</p>
<p>
<xref ref-type="bibr" rid="B12">D&#x2019;Ao&#xfb;t et&#x20;al. (2009)</xref> demonstrated that barefoot populations presented relatively longer and wider foot metrics than shod cohorts. Furthermore, wider toe regions are also a significant characteristic for habitual or native barefoot people (<xref ref-type="bibr" rid="B22">Hoffmann, 1905</xref>). <xref ref-type="bibr" rid="B31">Shu et&#x20;al. (2015)</xref> illustrated that barefoot runners have a bigger hallux to second toe distance and angle. This study proved that barefoot and shod populations exhibited foot metrics are differentiated and could be separated by the Na&#xef;ve Bayes classifier. Those differences were mainly in the forefoot (hallux and metatarsal regions) and foot&#x20;width.</p>
<p>The SVM model in this study was compared with other related studies to evaluate the performance of the classification model (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). Several reports have shown that the SVM classifier is a crucial tool for classification problems in sports medicine and lower limb biomechanics (<xref ref-type="bibr" rid="B39">Xiang et&#x20;al., 2022</xref>; <xref ref-type="bibr" rid="B29">Phinyomark et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B9">Christian et&#x20;al., 2016</xref>). In the previous studies, an unsupervised PCA algorithm was commonly used in data preprocessing for discovering the underlying low-dimensional manifolds in high-dimensional datasets (<xref ref-type="bibr" rid="B44">Zdyba&#x142; et&#x20;al., 2020</xref>) and for data extraction consideration (<xref ref-type="bibr" rid="B38">Wu and Wang, 2008</xref>; <xref ref-type="bibr" rid="B16">Taylor et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B10">Clermont et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B33">Suda et&#x20;al., 2020</xref>). Eleven low-dimensional features were extracted in our study, explaining 90% cumulative variance of the original data. However, intermediate- and higher-order principal components (PCs) may also contain variables to assess the classifiers&#x2019; performance (<xref ref-type="bibr" rid="B29">Phinyomark et&#x20;al., 2015</xref>). Furthermore, the extracted topological characteristics may make the findings hard to understand and interpret by the original dataset.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Comparison of the performance of the SVM model in this study with relevant studies.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Study</th>
<th align="center">Subject</th>
<th align="center">Feature</th>
<th align="center">Classifier</th>
<th align="center">Target</th>
<th align="center">Accuracy (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<xref ref-type="bibr" rid="B17">Eskofier et&#x20;al. (2012)</xref>
</td>
<td align="char" char=".">80</td>
<td align="left">Kinematics and kinetics</td>
<td align="left">AdaBoost</td>
<td align="left">barefoot/shod</td>
<td align="char" char=".">98.3</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B8">Chen et&#x20;al. (2021)</xref>
</td>
<td align="char" char=".">12</td>
<td align="left">Plantar pressure images</td>
<td align="left">ANN</td>
<td align="left">Walking speeds and durations</td>
<td align="char" char=".">94</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B34">Terrier, (2020)</xref>
</td>
<td align="char" char=".">36</td>
<td align="left">Center of pressure trajectory</td>
<td align="left">CNN</td>
<td align="left">Footstep recognition</td>
<td align="char" char=".">99.9</td>
</tr>
<tr>
<td align="left">This study</td>
<td align="char" char=".">146</td>
<td align="left">Plantar pressure</td>
<td align="left">SVM</td>
<td align="left">Barefoot/shod</td>
<td align="char" char=".">95</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: ANN, artificial neural network; CNN, convolutional neural network; SVM, support vector machine.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>RFE generates the feature coefficients or importance values based on the wrapper-type variable ranking algorithm. The SVM-RFE approach was employed in this study, and variables with the highest relevance got the highest ranking score (<xref ref-type="bibr" rid="B15">Dindorf et&#x20;al., 2021</xref>). It can be used to explore the internal relationship between the original data and the results without extra redundant information. This study found that both PCA and RFE preprocessing methods can build a well-performed classifier with the same accuracy. Future studies shall apply machine learning (i.e.,&#x20;SVM) to identify foot-ankle complexity and gait characteristics with appropriate preprocessing techniques.</p>
<p>Previous studies (<xref ref-type="bibr" rid="B17">Eskofier et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B5">Bisele et&#x20;al., 2017</xref>) have identified unique low limb kinematics and kinetics characteristics between barefoot and shod groups during running. Nevertheless, data were collected from the habitually shod cohort. Furthermore, the gait differences were primarily in the plantar loadings following the foot shape (<xref ref-type="bibr" rid="B12">D&#x2019;Ao&#xfb;t et&#x20;al., 2009</xref>). This study found the foot shape and plantar pressure differences between habitual shod and barefoot cohorts statistically and from a perspective of machine learning (i.e.,&#x20;SVM and na&#xef;ve Bayes). Foot functions are linked with morphology. The differential form and function between groups could contribute to understanding the mechanics of running-related injuries in novice barefoot runners because they adopted similar loading patterns but without midsole cushioning from footwear, compared with habitually shod people. Furthermore, this study benefits footwear selection as barefoot cohorts own different forefoot shapes and higher peak pressure during running in the M1-M5 regions.</p>
<p>Given the high running-related injuries in the modern day (<xref ref-type="bibr" rid="B14">Dempster et&#x20;al., 2021</xref>), barefoot running is expected to reduce overall musculoskeletal injury risk as it is the natural way to run biologically (<xref ref-type="bibr" rid="B25">Lieberman, 2012</xref>). Barefoot running increases sensory feedback, neuromuscular control, and intrinsic foot muscle strength (<xref ref-type="bibr" rid="B2">Altman and Davis, 2016</xref>). Previous studies indicated that barefoot runners with forefoot strike patterns generate smaller collision forces than shod runners presenting rearfoot strike (<xref ref-type="bibr" rid="B24">Lieberman et&#x20;al., 2010</xref>). Also, forefoot strikers exhibited one peak ground reaction force compared with two peak forces in rearfoot strikers during running (<xref ref-type="bibr" rid="B25">Lieberman, 2012</xref>). It is known that the habitual barefoot runners are typically loading with a forefoot strike (<xref ref-type="bibr" rid="B12">D&#x2019;Ao&#xfb;t et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B24">Lieberman et&#x20;al., 2010</xref>). The barefoot population also presents more uniform loading distributions during gait (<xref ref-type="bibr" rid="B12">D&#x2019;Ao&#xfb;t et&#x20;al., 2009</xref>). In this study, the plantar pressure during running was significantly decreased in the barefoot group, especially in the rearfoot. However, strike pattern was not part of the screening factor while recruiting the participants, which should be considered when explaining the findings of this&#x20;study.</p>
<p>However, barefoot or minimalist shoes increase lower extremity instantaneous loading rate, peak heel, and tibia acceleration, compared with wearing cushioned shoes (<xref ref-type="bibr" rid="B32">Sinclair et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B1">Agresta et&#x20;al., 2018</xref>). The higher foot and calf injury incidence was presented in the barefoot runners (<xref ref-type="bibr" rid="B2">Altman and Davis, 2016</xref>). This study found that the plantar pressure during running showed two typical patterns between the unshod and shod groups. M1 and M5 showed significant differences statistically and are the crucial features that contribute to the good performance of the classifier. It is consistent with previous kinetics findings (<xref ref-type="bibr" rid="B24">Lieberman et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B6">Bonacci et&#x20;al., 2013</xref>) that the impact loading in the barefoot running condition was lower than that of the shod group. This finding may be explained by the fact that the participants from the barefoot group have habitually been barefoot since they were born. Therefore, long-term unshod locomotion decreases impact loading and promotes foot strengthening (<xref ref-type="bibr" rid="B28">Miller et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B13">Davis et&#x20;al., 2017</xref>).</p>
<p>Furthermore, immediately changing to barefoot or wearing minimal shoes may cause increased injuries among habitually shod runners (<xref ref-type="bibr" rid="B2">Altman and Davis, 2016</xref>). This study found that barefoot and shod participants adopted differential loading patterns, regardless of foot strike pattern. Peak pressure is reduced for habitual barefoot runners compared with runners running in cushioned shoes. However, plantar pressure and lower limb loading are the same as shod runners for the novice barefoot runner. Therefore, novice barefoot runners without cushioned footwear protection undertake increased plantar loading than habitual barefoot counterparts during running. Foot pressure difference during running may be a potential factor that causes a high injury rate among novice barefoot runners or runners transitioning to barefoot running, especially in the&#x20;foot.</p>
<p>Despite the promising findings, this study had the main limitations: the barefoot and shod participants came from different socio-cultural backgrounds. This difference may influence our results. Future studies should evaluate and predict different injury risk factors between barefoot and shod cohorts during gaits and shed light on the injury mechanics for novice barefoot runners. Time and effort are not considered the advantages of this study, as collecting foot pressure and foot anthropomorphic data is more time-consuming than a questionnaire method. However, this study helps to mark the critical biomechanical variables that contributed to classifying barefoot and shod people, particularly foot pressure during running. Classifying barefoot and shod people based on their running using the SVM could accurately identify the gait translation phase from shod running to barefoot running than any other method.</p>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>In summary, the primary advantage of our method is the inclusion of foot shape for broader classification (in addition to plantar pressure). We have trained our model on a population of foot shapes that represent habitually barefoot and shod populations. Classifying feet based on consideration of both shape and plantar pressure is likely to lead to better shoe matching and guidance to practitioners on whether a person&#x2019;s foot aligns with a barefoot or shod profile. Foot metrics could be identified through the Na&#xef;ve Bayes algorithm. Furthermore, this study utilized the SVM classifier based on PCA feature extraction and RFE feature selection methods to separate and classify the barefoot and shod populations via walking and running plantar pressure parameters. Forefoot shape could also classify barefoot and unshod populations. Dynamic pressure patterns, especially in the forefoot regions, contribute more to identifying these two cohorts during running.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by the Research Academy of Grand Health, Ningbo Universiy. The patients/participants provided their written informed consent to participate in this&#x20;study.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>LX conceived the study design, collected, and analyzed data and drafted the manuscript; QM participated in the design of the study, collected, and analyzed data; YG, AW, VS, and JF conceived the study design, assisted in revising the manuscript, and reviewed the first and final versions of the manuscript. All authors contributed to the article and agreed to the submitted version of the manuscript.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was supported by the National Natural Science Foundation of China (81772423), the Natural Science Foundation of Zhejiang Province (LQ21H060003), Key Project of the National Social Science Foundation of China (19ZDA352), NSFC-RSE Joint Project (81911530253), Key R&#x26;D Program of Zhejiang Province China (2021C03130), Public Welfare Science and Technology Project of Ningbo, China (2021S133), Zhejiang Province Science Fund for Distinguished Young Scholars (R22A021199), and K. C. Wong Magna Fund in Ningbo University. LX is being sponsored by the China Scholarship Council (CSC).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Agresta</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Kessler</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Southern</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Goulet</surname>
<given-names>G. C.</given-names>
</name>
<name>
<surname>Zernicke</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zendler</surname>
<given-names>J.&#x20;D.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Immediate and Short-Term Adaptations to Maximalist and Minimalist Running Shoes</article-title>. <source>Footwear Sci.</source> <volume>10</volume>, <fpage>95</fpage>&#x2013;<lpage>107</lpage>. <pub-id pub-id-type="doi">10.1080/19424280.2018.1460624</pub-id> </citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Altman</surname>
<given-names>A. R.</given-names>
</name>
<name>
<surname>Davis</surname>
<given-names>I. S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Prospective Comparison of Running Injuries between Shod and Barefoot Runners</article-title>. <source>Br. J.&#x20;Sports Med.</source> <volume>50</volume>, <fpage>476</fpage>&#x2013;<lpage>480</lpage>. <pub-id pub-id-type="doi">10.1136/bjsports-2014-094482</pub-id> </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bennetts</surname>
<given-names>C. J.</given-names>
</name>
<name>
<surname>Owings</surname>
<given-names>T. M.</given-names>
</name>
<name>
<surname>Erdemir</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Botek</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Cavanagh</surname>
<given-names>P. R.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Clustering and Classification of Regional Peak Plantar Pressures of Diabetic Feet</article-title>. <source>J.&#x20;Biomech.</source> <volume>46</volume>, <fpage>19</fpage>&#x2013;<lpage>25</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2012.09.007</pub-id> </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bergstra</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Kluitenberg</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Dekker</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bredeweg</surname>
<given-names>S. W.</given-names>
</name>
<name>
<surname>Postema</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Van den Heuvel</surname>
<given-names>E. R.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Running with a Minimalist Shoe Increases Plantar Pressure in the Forefoot Region of Healthy Female Runners</article-title>. <source>J.&#x20;Sci. Med. Sport</source> <volume>18</volume>, <fpage>463</fpage>&#x2013;<lpage>468</lpage>. <pub-id pub-id-type="doi">10.1016/j.jsams.2014.06.007</pub-id> </citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bisele</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bencsik</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lewis</surname>
<given-names>M. G. C.</given-names>
</name>
<name>
<surname>Barnett</surname>
<given-names>C. T.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Optimisation of a Machine Learning Algorithm in Human Locomotion Using Principal Component and Discriminant Function Analyses</article-title>. <source>PLoS One</source> <volume>12</volume>, <fpage>e0183990</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0183990</pub-id> </citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bonacci</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Saunders</surname>
<given-names>P. U.</given-names>
</name>
<name>
<surname>Hicks</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Rantalainen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Vicenzino</surname>
<given-names>B. T.</given-names>
</name>
<name>
<surname>Spratford</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Running in a Minimalist and Lightweight Shoe Is Not the Same as Running Barefoot: a Biomechanical Study</article-title>. <source>Br. J.&#x20;Sports Med.</source> <volume>47</volume>, <fpage>387</fpage>&#x2013;<lpage>392</lpage>. <pub-id pub-id-type="doi">10.1136/bjsports-2012-091837</pub-id> </citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chan</surname>
<given-names>Z. Y. S.</given-names>
</name>
<name>
<surname>Au</surname>
<given-names>I. P. H.</given-names>
</name>
<name>
<surname>Lau</surname>
<given-names>F. O. Y.</given-names>
</name>
<name>
<surname>Ching</surname>
<given-names>E. C. K.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.&#x20;H.</given-names>
</name>
<name>
<surname>Cheung</surname>
<given-names>R. T. H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Does Maximalist Footwear Lower Impact Loading during Level Ground and Downhill Running?</article-title> <source>Eur. J.&#x20;Sport Sci.</source> <volume>18</volume>, <fpage>1083</fpage>&#x2013;<lpage>1089</lpage>. <pub-id pub-id-type="doi">10.1080/17461391.2018.1472298</pub-id> </citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>H.-C.</given-names>
</name>
<name>
<surname>SunardiLiau</surname>
<given-names>B. Y.</given-names>
</name>
<name>
<surname>Liau</surname>
<given-names>B.-Y.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>C.-Y.</given-names>
</name>
<name>
<surname>Akbari</surname>
<given-names>V. B. H.</given-names>
</name>
<name>
<surname>Lung</surname>
<given-names>C.-W.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Estimation of Various Walking Intensities Based on Wearable Plantar Pressure Sensors Using Artificial Neural Networks</article-title>. <source>Sensors</source> <volume>21</volume>, <fpage>6513</fpage>. <pub-id pub-id-type="doi">10.3390/s21196513</pub-id> </citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Christian</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kr&#xf6;ll</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Strutzenberger</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Alexander</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ofner</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Schwameder</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Computer Aided Analysis of Gait Patterns in Patients with Acute Anterior Cruciate Ligament Injury</article-title>. <source>Clin. Biomech.</source> <volume>33</volume>, <fpage>55</fpage>&#x2013;<lpage>60</lpage>. <pub-id pub-id-type="doi">10.1016/j.clinbiomech.2016.02.008</pub-id> </citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Clermont</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Osis</surname>
<given-names>S. T.</given-names>
</name>
<name>
<surname>Phinyomark</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ferber</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Kinematic Gait Patterns in Competitive and Recreational Runners</article-title>. <source>J.&#x20;Appl. Biomech.</source> <volume>33</volume>, <fpage>268</fpage>&#x2013;<lpage>276</lpage>. <pub-id pub-id-type="doi">10.1123/jab.2016-0218</pub-id> </citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cust</surname>
<given-names>E. E.</given-names>
</name>
<name>
<surname>Sweeting</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Ball</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Robertson</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Machine and Deep Learning for Sport-specific Movement Recognition: a Systematic Review of Model Development and Performance</article-title>. <source>J.&#x20;Sports Sci.</source> <volume>37</volume>, <fpage>568</fpage>&#x2013;<lpage>600</lpage>. <pub-id pub-id-type="doi">10.1080/02640414.2018.1521769</pub-id> </citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>D&#x2019;Ao&#xfb;t</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Pataky</surname>
<given-names>T. C.</given-names>
</name>
<name>
<surname>De Clercq</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Aerts</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>The Effects of Habitual Footwear Use: Foot Shape and Function in Native Barefoot Walkers</article-title>. <source>Footwear Sci.</source> <volume>1</volume>, <fpage>81</fpage>&#x2013;<lpage>94</lpage>. <pub-id pub-id-type="doi">10.1080/19424280903386411</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Davis</surname>
<given-names>I. S.</given-names>
</name>
<name>
<surname>Rice</surname>
<given-names>H. M.</given-names>
</name>
<name>
<surname>Wearing</surname>
<given-names>S. C.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Why Forefoot Striking in Minimal Shoes Might Positively Change the Course of Running Injuries</article-title>. <source>J.&#x20;Sport Health Sci.</source> <volume>6</volume>, <fpage>154</fpage>&#x2013;<lpage>161</lpage>. <pub-id pub-id-type="doi">10.1016/j.jshs.2017.03.013</pub-id> </citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dempster</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Dutheil</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ugbolue</surname>
<given-names>U. C.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>The Prevalence of Lower Extremity Injuries in Running and Associated Risk Factors: A Systematic Review</article-title>. <source>Phys. Act. Heal.</source> <volume>5</volume>, <fpage>133</fpage>&#x2013;<lpage>145</lpage>. <pub-id pub-id-type="doi">10.5334/paah.109</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dindorf</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Konradi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wolf</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Taetz</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Bleser</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Huthwelker</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>General Method for Automated Feature Extraction and Selection and its Application for Gender Classification and Biomechanical Knowledge Discovery of Sex Differences in Spinal Posture during Stance and Gait</article-title>. <source>Computer Methods Biomech. Biomed. Eng.</source> <volume>24</volume>, <fpage>299</fpage>&#x2013;<lpage>307</lpage>. <pub-id pub-id-type="doi">10.1080/10255842.2020.1828375</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eskofier</surname>
<given-names>B. M.</given-names>
</name>
<name>
<surname>Federolf</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Kugler</surname>
<given-names>P. F.</given-names>
</name>
<name>
<surname>Nigg</surname>
<given-names>B. M.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Marker-based Classification of Young-Elderly Gait Pattern Differences via Direct PCA Feature Extraction and SVMs</article-title>. <source>Computer Methods Biomech. Biomed. Eng.</source> <volume>16</volume>, <fpage>435</fpage>&#x2013;<lpage>442</lpage>. <pub-id pub-id-type="doi">10.1080/10255842.2011.624515</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eskofier</surname>
<given-names>B. M.</given-names>
</name>
<name>
<surname>Kraus</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Worobets</surname>
<given-names>J.&#x20;T.</given-names>
</name>
<name>
<surname>Stefanyshyn</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Nigg</surname>
<given-names>B. M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Pattern Classification of Kinematic and Kinetic Running Data to Distinguish Gender, Shod/barefoot and Injury Groups with Feature Ranking</article-title>. <source>Computer Methods Biomech. Biomed. Eng.</source> <volume>15</volume>, <fpage>467</fpage>&#x2013;<lpage>474</lpage>. <pub-id pub-id-type="doi">10.1080/10255842.2010.542153</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fern&#xe1;ndez-Segu&#xed;n</surname>
<given-names>L. M.</given-names>
</name>
<name>
<surname>Diaz Mancha</surname>
<given-names>J.&#x20;A.</given-names>
</name>
<name>
<surname>S&#xe1;nchez Rodr&#xed;guez</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Escamilla Mart&#xed;nez</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>G&#xf3;mez Mart&#xed;n</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Ramos Ortega</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Comparison of Plantar Pressures and Contact Area between normal and Cavus Foot</article-title>. <source>Gait &#x26; Posture</source> <volume>39</volume>, <fpage>789</fpage>&#x2013;<lpage>792</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2013.10.018</pub-id> </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fukuchi</surname>
<given-names>R. K.</given-names>
</name>
<name>
<surname>Eskofier</surname>
<given-names>B. M.</given-names>
</name>
<name>
<surname>Duarte</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ferber</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Support Vector Machines for Detecting Age-Related Changes in Running Kinematics</article-title>. <source>J.&#x20;Biomech.</source> <volume>44</volume>, <fpage>540</fpage>&#x2013;<lpage>542</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2010.09.031</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Halilaj</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Rajagopal</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Fiterau</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hicks</surname>
<given-names>J.&#x20;L.</given-names>
</name>
<name>
<surname>Hastie</surname>
<given-names>T. J.</given-names>
</name>
<name>
<surname>Delp</surname>
<given-names>S. L.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Machine Learning in Human Movement Biomechanics: Best Practices, Common Pitfalls, and New Opportunities</article-title>. <source>J.&#x20;Biomech.</source> <volume>81</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2018.09.009</pub-id> </citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hannigan</surname>
<given-names>J.&#x20;J.</given-names>
</name>
<name>
<surname>Pollard</surname>
<given-names>C. D.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A 6-week Transition to Maximal Running Shoes Does Not Change Running Biomechanics</article-title>. <source>Am. J.&#x20;Sports Med.</source> <volume>47</volume>, <fpage>968</fpage>&#x2013;<lpage>973</lpage>. <pub-id pub-id-type="doi">10.1177/0363546519826086</pub-id> </citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoffmann</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>1905</year>). <article-title>Conclusions Drawn from a Comparative Study of the Feet of Barefooted and Shoe-Wearing Peoples</article-title>. <source>J.&#x20;Bone Jt. Surg. Am.</source> <volume>2</volume>, <fpage>105</fpage>&#x2013;<lpage>136</lpage>. </citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mache</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Todd</surname>
<given-names>T. A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Automated Identification of Postural Control for Children with Autism Spectrum Disorder Using a Machine Learning Approach</article-title>. <source>J.&#x20;Biomech.</source> <volume>113</volume>, <fpage>110073</fpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2020.110073</pub-id> </citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lieberman</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Venkadesan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Werbel</surname>
<given-names>W. A.</given-names>
</name>
<name>
<surname>Daoud</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>D&#x2019;Andrea</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Davis</surname>
<given-names>I. S.</given-names>
</name>
<etal/>
</person-group> (<year>2010</year>). <article-title>Foot Strike Patterns and Collision Forces in Habitually Barefoot versus Shod Runners</article-title>. <source>Nature</source> <volume>463</volume>, <fpage>531</fpage>&#x2013;<lpage>535</lpage>. <pub-id pub-id-type="doi">10.1038/nature08723</pub-id> </citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lieberman</surname>
<given-names>D. E.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>What We Can Learn about Running from Barefoot Running</article-title>. <source>Exerc. Sport Sci. Rev.</source> <volume>40</volume>, <fpage>63</fpage>&#x2013;<lpage>72</lpage>. <pub-id pub-id-type="doi">10.1097/JES.0b013e31824ab210</pub-id> </citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Maiwald</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Mayer</surname>
<given-names>T. A.</given-names>
</name>
<name>
<surname>Milani</surname>
<given-names>T. L.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Alterations of Plantar Pressure Patterns and Foot Shape after Long Distance Military Marching</article-title>. <source>Footwear Sci.</source> <volume>10</volume>, <fpage>203</fpage>&#x2013;<lpage>213</lpage>. <pub-id pub-id-type="doi">10.1080/19424280.2018.1555719</pub-id> </citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mei</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Shim</surname>
<given-names>V.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Foot Shape and Plantar Pressure Relationships in Shod and Barefoot Populations</article-title>. <source>Biomech. Model. Mechanobiol.</source> <volume>19</volume>, <fpage>1211</fpage>&#x2013;<lpage>1224</lpage>. <pub-id pub-id-type="doi">10.1007/s10237-019-01255-w</pub-id> </citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Miller</surname>
<given-names>E. E.</given-names>
</name>
<name>
<surname>Whitcome</surname>
<given-names>K. K.</given-names>
</name>
<name>
<surname>Lieberman</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Norton</surname>
<given-names>H. L.</given-names>
</name>
<name>
<surname>Dyer</surname>
<given-names>R. E.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>The Effect of Minimal Shoes on Arch Structure and Intrinsic Foot Muscle Strength</article-title>. <source>J.&#x20;Sport Health Sci.</source> <volume>3</volume>, <fpage>74</fpage>&#x2013;<lpage>85</lpage>. <pub-id pub-id-type="doi">10.1016/j.jshs.2014.03.011</pub-id> </citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Phinyomark</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hettinga</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Osis</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ferber</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Do intermediate- and Higher-Order Principal Components Contain Useful Information to Detect Subtle Changes in Lower Extremity Biomechanics during Running?</article-title> <source>Hum. Movement Sci.</source> <volume>44</volume>, <fpage>91</fpage>&#x2013;<lpage>101</lpage>. <pub-id pub-id-type="doi">10.1016/j.humov.2015.08.018</pub-id> </citation>
</ref>
<ref id="B30">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Rish</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2001</year>). &#x201c;<article-title>An Empirical Study of the Naive Bayes Classifier</article-title>,&#x201d; in <source>IJCAI 2001 International Joint Conference on Artificial Intelligence</source>. <publisher-loc>Seattle</publisher-loc>: <publisher-name>AAAI Press</publisher-name>, <fpage>41</fpage>&#x2013;<lpage>46</lpage>. </citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mei</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Fernandez</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Foot Morphological Difference between Habitually Shod and Unshod Runners</article-title>. <source>PLoS One</source> <volume>10</volume>, <fpage>e0131385</fpage>&#x2013;<lpage>13</lpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0131385</pub-id> </citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sinclair</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Richards</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Selfe</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Fau-Goodwin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Shore</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>The Influence of Minimalist and Maximalist Footwear on Patellofemoral Kinetics during Running</article-title>. <source>Footwear Sci.</source> <volume>32</volume>, <fpage>359</fpage>&#x2013;<lpage>364</lpage>. <pub-id pub-id-type="doi">10.1123/jab.2015-0249</pub-id> </citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Suda</surname>
<given-names>E. Y.</given-names>
</name>
<name>
<surname>Watari</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Matias</surname>
<given-names>A. B.</given-names>
</name>
<name>
<surname>Sacco</surname>
<given-names>I. C. N.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Recognition of Foot-Ankle Movement Patterns in Long-Distance Runners with Different Experience Levels Using Support Vector Machines</article-title>. <source>Front. Bioeng. Biotechnol.</source> <volume>8</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.3389/fbioe.2020.00576</pub-id> </citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Terrier</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Gait Recognition via Deep Learning of the center-of-pressure Trajectory</article-title>. <source>Appl. Sci.</source> <volume>10</volume>, <fpage>774</fpage>. <pub-id pub-id-type="doi">10.3390/app10030774</pub-id> </citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>van Gent</surname>
<given-names>R. N.</given-names>
</name>
<name>
<surname>Siem</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>van Middelkoop</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>van Os</surname>
<given-names>A. G.</given-names>
</name>
<name>
<surname>Bierma-Zeinstra</surname>
<given-names>S. M. A.</given-names>
</name>
<name>
<surname>Koes</surname>
<given-names>B. W.</given-names>
</name>
<etal/>
</person-group> (<year>2007</year>). <article-title>Incidence and Determinants of Lower Extremity Running Injuries in Long Distance Runners: a Systematic Review &#x2a; COMMENTARY</article-title>. <source>Br. J.&#x20;Sports Med.</source> <volume>41</volume>, <fpage>469</fpage>&#x2013;<lpage>480</lpage>. <pub-id pub-id-type="doi">10.1136/bjsm.2006.033548</pub-id> </citation>
</ref>
<ref id="B36">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Vapnik</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>1998</year>). <source>Statistical Learning Theory</source>. <publisher-loc>New York, NY</publisher-loc>: <publisher-name>Wiley &#x26; Sons</publisher-name>. </citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wearing</surname>
<given-names>S. C.</given-names>
</name>
<name>
<surname>Urry</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Smeathers</surname>
<given-names>J.&#x20;E.</given-names>
</name>
<name>
<surname>Battistutta</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>A Comparison of Gait Initiation and Termination Methods for Obtaining Plantar Foot Pressures</article-title>. <source>Gait &#x26; Posture</source> <volume>10</volume>, <fpage>255</fpage>&#x2013;<lpage>263</lpage>. <pub-id pub-id-type="doi">10.1016/S0966-6362(99)00039-9</pub-id> </citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>PCA-based SVM for Automatic Recognition of Gait Patterns</article-title>. <source>J.&#x20;Appl. Biomech.</source> <volume>24</volume>, <fpage>83</fpage>&#x2013;<lpage>87</lpage>. <pub-id pub-id-type="doi">10.1123/jab.24.1.83</pub-id> </citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Mei</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Population and Age-Based Cardiorespiratory Fitness Level Investigation and Automatic Prediction</article-title>. <source>Front. Cardiovasc. Med.</source> <volume>8</volume>, <fpage>758589</fpage>. <pub-id pub-id-type="doi">10.3389/fcvm.2021.758589</pub-id> </citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Mei</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Fernandez</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020a</year>). <article-title>A Biomechanical Assessment of the Acute Hallux Abduction Manipulation Intervention</article-title>. <source>Gait &#x26; Posture</source> <volume>76</volume>, <fpage>210</fpage>&#x2013;<lpage>217</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2019.11.013</pub-id> </citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Mei</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Fernandez</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Minimalist Shoes Running Intervention Can Alter the Plantar Loading Distribution and Deformation of Hallux Valgus: A Pilot Study</article-title>. <source>Gait &#x26; Posture</source> <volume>65</volume>, <fpage>65</fpage>&#x2013;<lpage>71</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2018.07.002</pub-id> </citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Mei</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Fernandez</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020b</year>). <article-title>Multi-segmental Motion in Foot during Counter-movement Jump with Toe Manipulation</article-title>. <source>Appl. Sci.</source> <volume>10</volume>, <fpage>1893</fpage>. <pub-id pub-id-type="doi">10.3390/app10051893</pub-id> </citation>
</ref>
<ref id="B43">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Dinh</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2010</year>). &#x201c;<article-title>Implementation of a Wearable Real-Time System for Physical Activity Recognition Based on Naive Bayes Classifier</article-title>,&#x201d; in <conf-name>Proceeding og the 2010 International Conference on Bioinformatics and Biomedical Technology</conf-name>, <conf-loc>Chengdu, China</conf-loc>, <conf-date>16-18 April 2010</conf-date> (<publisher-name>IEEE</publisher-name>), <fpage>101</fpage>&#x2013;<lpage>105</lpage>. <pub-id pub-id-type="doi">10.1109/ICBBT.2010.5479000</pub-id> </citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zdyba&#x142;</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Armstrong</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Parente</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sutherland</surname>
<given-names>J.&#x20;C.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>PCAfold: Python Software to Generate, Analyze and Improve PCA-Derived Low-Dimensional Manifolds</article-title>. <source>SoftwareX</source> <volume>12</volume>, <fpage>100630</fpage>. <pub-id pub-id-type="doi">10.1016/j.softx.2020.100630</pub-id> </citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>A Current Review of Foot Disorder and Plantar Pressure Alternation in the Elderly</article-title>. <source>Phys. Act. Heal.</source> <volume>4</volume>, <fpage>95</fpage>&#x2013;<lpage>106</lpage>. <pub-id pub-id-type="doi">10.5334/paah.57</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>