Partial Maximum Correntropy Regression for Robust Trajectory Decoding from Noisy Epidural Electrocorticographic Signals

TL;DR

This paper introduces a robust regression method called Partial Maximum Correntropy Regression (PMCR) that improves trajectory decoding from noisy epidural electrocorticographic signals by effectively handling noise and enhancing prediction accuracy.

Contribution

The study proposes a novel robust variant of PLSR using maximum correntropy criterion and half-quadratic optimization, demonstrating superior performance over existing methods in noisy brain signal regression.

Findings

PMCR outperforms traditional PLSR and variants in noisy conditions.

PMCR enhances robustness and prediction accuracy in high-dimensional brain data.

Experimental results confirm PMCR's effectiveness on synthetic and real ECoG datasets.

Abstract

The Partial Least Square Regression (PLSR) exhibits admirable competence for predicting continuous variables from inter-correlated brain recordings in the brain-computer interface. However, PLSR is in essence formulated based on the least square criterion, thus, being non-robust with respect to noises. The aim of this study is to propose a new robust implementation for PLSR. To this end, the maximum correntropy criterion (MCC) is used to propose a new robust variant of PLSR, called as Partial Maximum Correntropy Regression (PMCR). The half-quadratic optimization is utilized to calculate the robust projectors for the dimensionality reduction, and the regression coefficients are optimized by a fixed-point approach. We evaluate the proposed PMCR with a synthetic example and the public Neurotycho electrocorticography (ECoG) datasets. The extensive experimental results demonstrate that, the proposed PMCR can achieve better prediction performance than the conventional PLSR and existing variants with three different performance indicators in high-dimensional and noisy regression tasks. PMCR can suppress the performance degradation caused by the adverse noise, ameliorating the decoding robustness of the brain-computer interface.