Synthetic Data for Foot Strike Angle Estimation

Christoph Schranz

, Stefan Kranzinger

and Stephanie R. Moore

Human Motion Analytics, Salzburg Research Forschungsgesellschaft mbH, 5020 Salzburg, Austria

Department of Sport and Exercise Science, University of Salzburg, 5400 Hallein/Rif, Austria

Keywords: Data Augmentation, Human Running, GAN, Autoencoder, Foot Strike Angle.

Abstract: A runner’s foot strike angle (FSA) can be relied on to assess performance, comfort, and injury risk. However,

the collection of FSA datasets is time-consuming and costly, which may result in small datasets in practice.

Therefore, the creation of synthetic FSA datasets is of great interest to researchers to improve the performance

of machine learning models while maintaining the same effort in data collection. We evaluate data

augmentation (jittering, pattern mixing, SMOTE) and synthetic data generation (Generative Adversarial

Networks, Variational Autoencoders) methods with four subsequent machine learning models to estimate the

FSA on a dataset involving 30 runners across a range of FSAs. The results show promising results for the

SVM and MLP, as well as for the jittering and pattern mixing augmentation methods. Our findings underscore

the potential of data augmentation to improve FSA estimation accuracy.

1 INTRODUCTION

Running is a widespread activity around the world,

largely due to its limited equipment and facility

requirements. It also has a positive impact on physical

and mental health (Mikkelsen et al., 2017; Oswald et

al., 2020). However, due to the physical forces acting

on the joints, it is important to use proper footwear

and running techniques to improve comfort and

reduce the risk of injury and long-term joint health

issues (Nigg et al., 2015). Therefore, the foot strike

pattern (FSP) is a significant consideration,

particularly in choosing suitable footwear (Zrenner et

al., 2018).

Previous works have employed machine learning

techniques for the estimation of foot strike angle

(FSA) and FSP classification from pressure sensors

(Moore et al., 2020). FSA is the angular degree of the

foot at the moment of ground contact, and it is of

importance because it affects numerous performance-

related outcomes, such as vertical compliance, ankle

and knee stiffness, vertical impact force, and

instantaneous loading rates (Lieberman et al., 2010;

Hamill et al., 2014; Cheung and Davis, 2011). Moore

et al. (2020) compared the accuracy and precision of

continuous FSA prediction and FSP classification

https://orcid.org/0000-0002-5786-7807

https://orcid.org/0000-0002-4014-7846

using multiple regression, conditional inference tree,

and Random Forest (RF) (Breiman, 2001), employing

data derived from Loadsol™ pressure insoles. The

results have led to significant insights; however, the

quest for enhanced accuracy in FSA estimation

necessitates further investigation.

This study extends the work of Moore et al. (2020)

who demonstrated the feasibility of two-sensor

pressure insoles for detecting foot strike patterns and

achieving over 90% FSP classification accuracy

using multiple regression, conditional inference tree,

and Random Forest. Moreover, the same methods

were applied on the regression task of FSA

estimation. However, the study is limited by the

amount of mid-foot steps, types of evaluated machine

learning models, and an ungrouped cross-validation

scheme. Moore et al. (2020) proposed in their

discussion that over- or under-sampling techniques

and more complex machine learning algorithms may

lead to an increased performance. Thus, we decided

to employ state-of-the-art machine learning methods

and applying data augmentation and synthetic data

generation techniques to investigate the potential for

enhanced FSA model accuracy when synthetic data is

used. These techniques offer promise for enhancing

the performance of machine learning models in FSA

Schranz, C., Kranzinger, S. and Moore, S. R.

Synthetic Data for Foot Strike Angle Estimation.

DOI: 10.5220/0012890100003828

In Proceedings of the 12th International Conference on Sport Sciences Research and Technology Support (icSPORTS 2024), pages 113-118

ISBN: 978-989-758-719-1; ISSN: 2184-3201

113

estimation, thereby facilitating an even more nuanced

understanding of running biomechanics and

providing a tool for running shoe development and

recommendation processes.

Data augmentation involves artificially expanding

the dataset by applying transformations such as

jittering (JIT), pattern mixing (PM), and Synthetic

Minority Oversampling Technique (SMOTE) to the

existing data points, thus enhancing the robustness of

the model without the need for additional data

collection. Synthetic data generation, on the other

hand, utilizes methods like Generative Adversarial

Networks (GANs) and Variational Autoencoders

(VAEs) to create entirely new, yet realistic, instances

based on the patterns learned from the existing data

(Shorten and Khoshgoftaar, 2019; Iwana and Uchida,

2021; Jorge et al., 2018). Such techniques have shown

potential in various fields, notably in scenarios with

limited datasets, by enhancing model generalizability

and preventing overfitting. In sports science, the

application of data augmentation has been identified

as a necessity to bridge the lab-to-field gap, however,

only few approaches exist yet (Mundt, 2023).

Our research aims to utilize these innovative

methods to augment the existing dataset, thereby

enriching the input for subsequent machine learning

models and further improving the estimation of FSA.

The objective of this paper is to investigate to what

extent data augmentation methods can compensate

for the impact of a reduced number of participants. A

secondary objective is to employ multiple

downstream models in order to enhance the quality of

the FSA estimations and to establish a more robust

evaluation metric for the augmentation methods. We

aspire to elevate the precision and reliability of FSA

estimation. Ultimately, our goal is to provide a

method that could support the processes of running

shoe development and athlete training to improve

performance and reduce the risk of injury.

2 MATERIALS AND METHODS

Our study included 30 injury-free male recreational

runners (Mean ± SD; 1.79 ± 0.07 m; 80.1 ± 9.6 kg;

34.0 ± 6.9 yr). Participants were instructed to perform

six foot strike conditions (extreme fore-foot, fore-

foot, mid-foot, rear-foot, extreme rear-foot, and

natural) at a comfortable speed in a randomized

counterbalanced order. The vertical force of the

insoles of each participant were captured using the

Loadsol

wearable sensors (Loadsol

; Novel

GmbH; Munich, Germany) (Seiberl et al., 2018). In

total, data were recorded for 3,489 steps.

2.1 Data Collection and Preprocessing

The Loadsol

wearable sensors were utilized to

measure insole forces during running at a sampling

rate of 100 Hz. The captured time-series data were

split into separate steps for analysis. The same insole

outcome variables were used in the current study as

in Moore et al. (2020); ten features were extracted for

each step including four impulse ratios, two peak

force ratios, and four ratios from the rate of force

development.

In conjunction with kinetic data, a three-

dimensional (3D) motion capture system (Qualysis

system, 13-camera setup; 2019.3, Göteborg, Sweden)

was used to optically measure the ground truth FSA,

i.e., the angle of the foot at the initial contact on the

ground. Six anatomical markers were applied to the

left foot segment for kinematic data capture. For more

information on the data collection and features, refer

to Moore et al. (2020).

2.2 Downstream Models and

Validation

Our study extended the original modeling approach

by applying multiple machine learning models to

estimate the FSA at ground contact. These models

included RF (Breiman, 2001), Support Vector

Machine (SVM) (Boser et al., 2001), XGBoost

(XGB) (Chen and Guestrin, 2016), and a Multi-Layer

Perceptron (MLP) (Hornik et al., 1989). A grouped

cross-validation approach with k=10 folds was used

(i.e., instances of the same participants were grouped

into the same fold). For SVM and MLP, the features

and target FSA were normalized.

Each model's hyperparameters were optimized

through 200 iterations on the original data using a

Tree-structured Parzen Estimator (TPE) (Bergstra et

al., 2022). The estimation result from our RF was

consistent with the approach from Moore et al. (2020)

using basic cross-validation.

2.3 Data Augmentation and Synthetic

Data Generation

We used data augmentation techniques to extend our

dataset. For features measured within defined

intervals (e.g., ratio values on the interval [0,1]), a

Fisher’s z-transformation was applied to prevent

generating values outside the plausible range.

Data augmentation methods employed include:

• JIT (Iwana and Uchida, 2021): Gaussian

noise was added, where noise intensity was

icSPORTS 2024 - 12th International Conference on Sport Sciences Research and Technology Support

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proportional to each feature’s standard

deviation.

• PM (Iwana and Uchida, 2021): New

instances were generated as a linear

combination of two instances. Here, an alpha

(α) was sampled from a normal distribution,

and new instances were generated by α*X1

+ (1-α)*X2.

• SMOTE (Chawla et al., 2002): A method

used to balance class distribution in an

unbalanced dataset by creating “synthetic”

examples in the feature space, effectively

combining aspects of jittering and pattern

mixing techniques.

• VAE (Kingma and Welling, 2019): An

encoder-decoder network that applies the

“reparameterization trick” to sample the

latent variable from a normal distribution

with encoded parameters.

• GAN (Goodfellow et al., 2020): two

separate networks are employed; One

generates instances as realistic as possible,

while the other distinguishes whether an

instance is original or not. This results in a

generative network able to create realistic

instances.

For each combination of the five data

augmentation and four downstream model, an

optimization of their hyperparameters with 200

iterations was conducted. Each optimization included

synthetic data for the training of the downstream

model which was limited to five times the number of

original samples.

Each combination of augmentation method and

downstream model was trained on any number of

participants. For this purpose, in the experiment, a

varying number of participants was randomly

sampled from the training fold of the cross-validation.

Data augmentation was then applied to this subset

before training the downstream model. The number

ranged from only one randomly sampled participant

to all available in the training fold which was at least

24 using a 10-fold cross-validation.

The Root Mean Square Error (RMSE) values of

the estimations are aggregated and compared for a

high number of participants (n = 20-24; Table 1) and

for a reduced size (n = 6-10; Table 2) to investigate

the effects of data augmentation for a significantly

smaller dataset. All validations were performed solely

on the original data of disjunct participants. No test-

time augmentation, as described in Shorten and

Khoshgoftaar (2019), was applied.

3 RESULTS

Figure 1 illustrates the influence of the number of

participants on the RMSE for each augmentation

method. The results are averaged across the four

downstream models. For each augmentation model,

the error decreases and converges at about 15

participants in the training fold.

Figure 1: Comparison of augmentation methods, averaged

across all downstream models. A higher number of

participants used for augmentation and training decreases

the RMSE.

JIT (orange) and PM (green) yield the lowest

RMSE across all numbers of participants. VAE

(violet) shows promising behavior for a higher

number of participants.

Table 1 aggregates the obtained results from the

grouped cross-validation experiment with higher

participant numbers. The results represent the average

RMSE within the range of 20 to 24 participants

prevalent in each training fold to get a more robust

measure for comparison. We tested four machine

learning models (MLP, RF, SVM, XGB) using

different data augmentation techniques and a control

case without any augmentations ('None'). The 'Mean'

column represents the average RMSE across the four

downstream models for each augmentation

technique. Bold numbers indicate the augmentation

method with the lowest RMSE for each downstream

model.

Table 1: Mean RMSE for 20-24 participants with 10 folds.

Method MLP RF SVM XGB Mean

None 4.751 4.984 4.449 4.892 4.769

JIT 4.524 4.785 4.739 4.771 4.705

PM 4.812 4.932 4.556 4.685 4.74

SMOTE 4.781 5.230 4.873 4.991 4.969

VAE 4.529 4.987 4.758 4.778 4.763

GAN 4.921 4.996 4.891 5.018 4.95

Mean of all downstream models in the same row.

Synthetic Data for Foot Strike Angle Estimation

115

The SVM model achieved the best results without

any data augmentation (RMSE = 4.449). Following

data augmentation, we observed the lowest RMSE

with the MLP downstream model and the JIT and

VAE, with an RMSE of 4.524 and 4.529,

respectively. The SVM was the only downstream

model that did not perform better after data

augmentation.

The results summarized in Table 2 are obtained

from our cross-validation experiment involving the

average RMSE values across six to ten participants in

each training fold to depict the effect of data

augmentation on a low number of participants.

The SVM achieved the best results using PM

augmentation with an average RMSE of 4.684 for the

reduced training subsample (n = 6-10). Following

data augmentation, PM resulted in the lowest mean

RMSE across all downstream models (4.864),

improving the score by 2.8% compared to no

augmentation method.

Table 2: Mean RMSE for 6-10 participants with 10 folds.

Method MLP RF SVM XGB Mean

None 4.884 5.099 4.924 5.081 4.99

JIT 4.877 4.937 4.819 4.929 4.891

PM 4.800 5.115 4.684 4.830 4.857

SMOTE 5.202 5.352 5.135 5.086 5.194

VAE 4.875 5.092 4.882 4.961 4.953

GAN 5.137 5.108 5.060 5.072 5.090

Mean of all downstream models in the same row.

The more complex methods SMOTE and GAN

failed to improve the average RMSE. VAE yielded

only minor but consistent improvements. Despite the

simplicity of JIT and PM, these results suggest that

they performed best in improving the estimation

accuracy of the FSA across all models tested in this

study, especially for a lower number of participants.

4 DISCUSSION

Our study aims to enhance the accuracy of estimating

FSA by using a suite of multiple machine learning

models and data augmentation techniques. The best-

performing approach of Moore et al. (2020), i.e., RF

without augmentation, was replicated for the same

ungrouped cross-validation scheme. This baseline

was then enhanced by both employing preceding data

augmentation and by selecting other machine

learning methods.

Across varying numbers of participants, both JIT

and PM augmentation methods consistently led to the

lowest RMSE, indicating the highest accuracy in FSA

estimation. On the other hand, SMOTE appears to be

less effective for this particular task, presumably as it

was originally designed to tackle imbalanced

classification problems.

VAE yielded only minor but consistent

improvements, offering improvements comparable to

those of JIT for MLP and XGB downstream models,

as illustrated in Table 1. VAE might profit from an

increased number of training instances to learn the

inherent data distribution. A combination of VAE

with a preceding JIT or PM might further improve the

results by providing VAE with more data (Shorten

and Khoshgoftaar, 2019). GAN was not successful in

improving the RMSE of the FSA estimation. Similar

to VAE (but more pronounced), GAN might require

more data for training (Iwana and Uchida, 2021). The

ineffectiveness of GAN could be due to too little data.

Furthermore, GANs are designed to produce data that

appear realistic such as images, and not to improve

the quality of a subsequent downstream model

applied on mixed data. Nevertheless, further

investigations would be necessary to fully clarify the

cause.

The improvements by employing data

augmentation are small but consistent, therefore

improving results without additional expensive data

acquisition. Future work could explore augmenting

time-series data for enhanced performance in

synthetic data generation. Incorporating

biomechanical constraints and more domain

knowledge into augmentation methods has the

potential to further improve the quality of the

estimations. Additionally, the implementation of test-

time augmentation methods (Shorten and

Khoshgoftaar, 2019) could contribute to enhancing

estimation accuracy, which is a research avenue that

warrants further exploration.

Interestingly, SVM performed best without any

data augmentation. This is possibly due to the fact

that SVM minimizes in addition to the main

objective, i.e., the MSE, also a regularization term.

This regularization term penalizes the function

implemented by an SVM to be as flat as possible to

avoid overfitting for unseen instances. We, therefore,

hypothesize that this regularization term helps the

SVM to better represent the inherent data distribution

than preceding augmentation methods.

We chose SVM for FSA estimation due to its

strong performance on small to medium-sized

datasets. Moreover, SVM can handle sparse high-

dimensional feature spaces and is effective in dealing

with non-linearly separable data using kernel features

(Guido et al. 2024; Cyran et al. 2013). Furthermore,

SVM has already been extensively validated in

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biomechanical applications (see e.g. Begg et al. 2005;

Halilaj et al. 2018), making it a reliable choice where

sensor data often have complex relationships.

Mixed data augmentation strategies, unexplored in

our comparisons, may yield improvements, particu-

larly for complex methods like VAEs and GANs, that

require larger datasets. An initial experiment has

shown that the RMSE of GAN with SVM could be

improved from 5.06 to 4.78 (for 6-10 participants) by

applying JIT and PM prior to the training of the GAN,

yielding better results than JIT alone.

One limitation of the experiments might be the

setup for the hyperparameter optimization. The

decision to use 200 iterations may be too restrictive,

particularly given the complexity of models with up

to 20 hyperparameters, such as GAN-XGB.

Conversely, models with fewer hyperparameters, like

the SVM downstream model, as well as the JIT, PM,

and SMOTE data augmentation methods, might have

been favored. A more comprehensive optimization

could potentially enhance the performance of the

other methods, in particular VAE and GAN.

The work established a preliminary step into

synthetic data generation in the context of FSA

estimation from mobile sensorics, focusing primarily

on the comparison of methods. Future research

should build upon these findings to explore new

dimensions in augmentation and synthetic data

generation, aiming to maximize the accuracy and

utility of FSA prediction in real-world running

scenarios. Ultimately, our goal is to provide a data

generation method that supports the development of

running shoes and athlete training for improved

performance and injury prevention.

5 CONCLUSION

In conclusion, our work represents a step forward in

the quest to incorporate data augmentation and

synthetic data generation into the domain of wearable

sensor development. We evaluated different

combinations of methods for varying numbers of

participants to estimate the FSA, with SVM

improving the RMSE by more than 10 % compared

to RF. The success of the simple JIT and PM method

underscores the value of revisiting and adapting

methods for more specific biomechanical constraints.

Data augmentation methods adapted for specialized

problems may have the potential to generate realistic

synthetic data and therefore facilitate the

development of more cost-effective algorithms for

wearable sensors, thus enabling researchers to move

to field-based data collections with less intensive lab-

based back-end development.

ACKNOWLEDGMENT

This work has been supported by the Austrian Federal

Ministry for Climate Action, Environment, Energy,

Mobility, Innovation and Technology under Contract

No. 2021-0.641.557.

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