Fall 2023 FAST MULTISCALE FUNCTIONAL ESTIMATION IN OPTIMAL EMG PLACEMENT FOR ROBOTIC PROSTHESIS CONTROLLERS
Jin Ren, Guohui Song, Lucia Tabacu, Yuesheng Xu
J. Integral Equations Applications 35(3): 355-374 (Fall 2023). DOI: 10.1216/jie.2023.35.355

Abstract

Electromyogram (EMG) signals play a significant role in decoding muscle contraction information for robotic hand prosthesis controllers. Widely applied decoders require a large amount of EMG signals sensors, resulting in complicated calculations and unsatisfactory predictions. By the biomechanical process of single degree-of-freedom human hand movements, only several EMG signals are essential for accurate predictions. Recently, a novel predictor of hand movements adopted a multistage sequential adaptive functional estimation (SAFE) method based on the historical functional linear model (FLM) to select important EMG signals and provide precise projections.

However, SAFE repeatedly performs matrix-vector multiplications with a dense representation matrix of the integral operator for the FLM, which is computationally expensive. Noting that with a properly chosen basis, the representation of the integral operator concentrates on a few bands of the basis, the goal of this study is to develop a fast multiscale SAFE (MSAFE) method aiming at reducing computational costs while preserving (or even improving) the accuracy of the original SAFE method. Specifically, a multiscale piecewise polynomial basis is adopted to discretize the integral operator for the FLM, resulting in an approximately sparse representation matrix, and then the matrix is truncated to a sparse one. This approach not only accelerates computations but also improves robustness against noises. When applied to real hand movement data, MSAFE saves 85%90% computing time compared with SAFE, while producing better sensor selection and comparable accuracy. In a simulation study, MSAFE shows stronger stability in sensor selection and prediction accuracy against correlated noise than SAFE.

Citation

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Jin Ren. Guohui Song. Lucia Tabacu. Yuesheng Xu. "FAST MULTISCALE FUNCTIONAL ESTIMATION IN OPTIMAL EMG PLACEMENT FOR ROBOTIC PROSTHESIS CONTROLLERS." J. Integral Equations Applications 35 (3) 355 - 374, Fall 2023. https://doi.org/10.1216/jie.2023.35.355

Information

Received: 30 September 2022; Revised: 29 November 2022; Accepted: 22 December 2022; Published: Fall 2023
First available in Project Euclid: 25 October 2023

Digital Object Identifier: 10.1216/jie.2023.35.355

Subjects:
Primary: 45A05 , 45Q05 , 62P10 , 62R10 , 92C50

Keywords: Electromyography signal , fast algorithm , functional variable selection , group lasso , multiscale piecewise polynomial basis , robotic prosthesis controllers , sparse matrix

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.35 • No. 3 • Fall 2023
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