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Assessment of patients with Parkinson’s disease based on federated learning

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Abstract

This paper presents federated Learning (FL), which is based on wearable devices, and applies the actual leg agility data that has been collected from people living with Parkinson’s disease (PD) to the model. Studies have shown that the implementation of FL can effectively protect the data privacy of PD patients. The classification accuracy of leg agility data is reduced by 2.72% when compared to the conventional method of summarizing all the data. However, it is higher than the model accuracy of each data owner, having increased by 22.68%. Secondly, during the communication process, the upload or download of the model parameters of each terminal node is interrupted for N times at the same time, and it is found that interrupting the upload of parameters reduces the accuracy of the central model. The impact of interrupting the download parameters on the central model is negligible. Then, the communication process of the terminal nodes with different data amounts was interrupted respectively, and it was found that the accuracy of the central model was basically not affected. Finally, noise is introduced to the various parameters in the communication process. The accuracy of the central model begins to gradually deteriorate as soon as the noise intensity reaches 0.012 or higher.

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Data availability

Our data was acquired from a hospital, and they have not given their permission for researchers to share their data. A small part of the data can be queried via this link: https://github.com/g8329/FL.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 61803242, 12231012, 61873154), Special Fund Project for Guiding Local Scientific and Technological Development by the Central Government (No. YDZX20191400002563), Key R & D Projects of Shanxi Province (No. 202003D31011/GZ, 201803D31032), Health Commission of Shanxi Province (No. 2020XM18), Shanxi Key Laboratory (No. 201705D111006), International Cooperation Projects of Shanxi Province, China (No. 201703D421012), Research of Technological Important Programs in the City of Lvliang, China (No. 2022GXYF18).

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Appendix

Appendix

1.1 Feature extraction

The leg agility action uses two sensors, each of which generates triaxial signals in the X, Y, and Z directions, for a total of six signals. Regardless of the signal, it is handled in the same manner. As an illustration, the following section uses the z-axis signal data from the toe position sensor to show how it works. In the first step, the data is normalized, and then each movement cycle of the patient is determined by looking at the z-axis signal, which is the data signal of successfully completing a leg agility movement. The collected data is treated as a node in each cycle, and a time-series complex network model with LPVG is created for each point in each cycle. We can extract four characteristics from the complex network: the global aggregation coefficient, the local aggregation coefficient, the aggregation coefficient entropy, and the deviation value of the node degree value and the time, speed, and amplitude at each action cycle, among others.

The global aggregation coefficient C:

$$\begin{aligned} \qquad C=\frac{\tau _\triangle }{\tau }{} {\textbf {}}, \end{aligned}$$
(3)

The local aggregation coefficient \(\overline{C}\):

$$\begin{aligned} \qquad C_j=\frac{\tau _(j,\triangle )}{\tau _j},\overline{C}=\frac{1}{M} \sum _{j=1}^MC_j, \end{aligned}$$
(4)

Aggregation coefficient entropy \(E_c\):

$$\begin{aligned} \qquad E_c=-\sum _{j=1}^M\left[\frac{C(j)}{\sum _{j=1}^M(C(j))}\right]log\left[{C(j)}{\sum _{j=1}^M(C(j))}\right], \end{aligned}$$
(5)

the deviation value of the node degree value \(K_{std}\):

$$\begin{aligned} \qquad K_{std}=\sqrt{\frac{\sum _{j=1}^M(k_j-\overline{k})^2}{M-1}}, \overline{k}=\frac{\sum _{j=1}^Mk_j}{M}, \end{aligned}$$
(6)

\(\tau _\triangle\) represents the number of closed triples in a viewable network. \(\tau\) represents the number of open triples in a viewable network. \(\tau _j\) represents the number of open triples centered on node j in a viewable network. \(\tau _{j,\triangle }\) represents the number of closed triples centered on node j in a viewable network. C(j) represents the aggregation coefficient of node j. M indicates the number of nodes in the network. \(K_j\) represents the degree value of the node j. That is, the number of sides of node j.

Each action cycle time T: the time it takes to do one action,

Speed per action cycle v: \(v=\int _{0}^{T}adt\), where a represents acceleration,

Amplitude per action cycle s: \(s=vT\).

This gives \(2\times 3\times 4=24\) complex network eigenvalues, 2 denotes two sensors, 3 denotes three signals for each sensor, and 4 denotes four characteristics of each signal. And the features of time, speed and amplitude. In this way, a 27-dimensional feature data processed by periodic signal data is obtained.

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Guan, B., Yu, L., Li, Y. et al. Assessment of patients with Parkinson’s disease based on federated learning. Int. J. Mach. Learn. & Cyber. 15, 1621–1632 (2024). https://doi.org/10.1007/s13042-023-01986-4

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