A hypothesis-driven method based on machine learning for neuroimaging data analysis

TL;DR

This paper introduces a novel hypothesis-driven machine learning method that links the General Linear Model with Support Vector Regression for improved neuroimaging data analysis, enhancing statistical power and interpretability.

Contribution

It establishes a complete connection between GLM and MLE regressions, deriving a refined statistical test using SVR, and demonstrates improved inference over traditional GLM in neuroimaging.

Findings

SVR-based parameters differ significantly from GLM estimates.

The proposed method outperforms traditional GLM in statistical power.

Real data analysis confirms better false positive control.

Abstract

There remains an open question about the usefulness and the interpretation of Machine learning (MLE) approaches for discrimination of spatial patterns of brain images between samples or activation states. In the last few decades, these approaches have limited their operation to feature extraction and linear classification tasks for between-group inference. In this context, statistical inference is assessed by randomly permuting image labels or by the use of random effect models that consider between-subject variability. These multivariate MLE-based statistical pipelines, whilst potentially more effective for detecting activations than hypotheses-driven methods, have lost their mathematical elegance, ease of interpretation, and spatial localization of the ubiquitous General linear Model (GLM). Recently, the estimation of the conventional GLM has been demonstrated to be connected to an univariate classification task when the design matrix is expressed as a binary indicator matrix. In this paper we explore the complete connection between the univariate GLM and MLE \emph{regressions}. To this purpose we derive a refined statistical test with the GLM based on the parameters obtained by a linear Support Vector Regression (SVR) in the \emph{inverse} problem (SVR-iGLM). Subsequently, random field theory (RFT) is employed for assessing statistical significance following a conventional GLM benchmark. Experimental results demonstrate how parameter estimations derived from each model (mainly GLM and SVR) result in different experimental design estimates that are significantly related to the predefined functional task. Moreover, using real data from a multisite initiative the proposed MLE-based inference demonstrates statistical power and the control of false positives, outperforming the regular GLM.