Exercise & Training

Why nonlinear models matter: unified analysis of cognitive load, stress, and exercise using wearable physiological signals.

TL;DR

Physiological state recognition from wearable measurements is inherently nonlinear, with tree-based ensemble models consistently outperforming linear baselines across stress, cognitive load, and exercise detection tasks.

Key Findings

Nonlinear models consistently outperformed linear models across all datasets for physiological state recognition.

  • Tree-based ensembles achieved 0.89–0.98 accuracy and 0.96–0.99 AUC across all datasets.
  • Linear models remained below 0.70–0.73 AUC across the same datasets.
  • Four linear models were tested: logistic regression, linear SVM, linear discriminant analysis, and ridge classifier.
  • Nonlinear approaches included SVM(RBF), random forest, gradient boosting, XGBoost, and LightGBM.
  • This pattern held across structured stress induction, real-world exam stress, aerobic and anaerobic exercise, and cognitive load tasks.

Leave-one-subject-out (LOSO) validation revealed substantial inter-individual variability in physiological signals, yet nonlinear models retained moderate cross-person generalization.

  • LOSO validation was used as the evaluation scheme to assess subject-independent generalization.
  • Substantial inter-individual variability was observed across all three datasets.
  • Despite this variability, nonlinear models maintained moderate generalization performance across subjects.
  • Three publicly available Empatica E4 datasets were used for evaluation.

Multimodal fusion was confirmed as important for classification performance, with electrodermal activity, temperature, and accelerometry being the most critical modalities.

  • Ablation studies were conducted to assess the contribution of individual signal modalities.
  • Electrodermal activity (EDA), temperature, and accelerometry were identified as particularly important modalities.
  • Removal of these modalities degraded classification performance in the ablation analyses.
  • The framework used standardized preprocessing and window-based feature extraction across all modalities.

SHAP analysis revealed nonlinear and interaction-driven feature effects consistent with known autonomic mechanisms.

  • Shapley Additive Explanations (SHAP) were used for interpretability analysis across all models and datasets.
  • Feature effects were found to be nonlinear rather than monotonic.
  • Interaction effects between features were observed and considered consistent with known autonomic nervous system dynamics.
  • SHAP results provided mechanistic support for the superiority of nonlinear modeling approaches.

The study applied a unified signal-processing and evaluation framework across three publicly available Empatica E4 wearable datasets covering multiple physiological states.

  • The three datasets covered structured stress induction, real-world exam stress, aerobic and anaerobic exercise, and cognitive load tasks.
  • All datasets were collected using the Empatica E4 wearable device.
  • The framework included standardized preprocessing, window-based feature extraction, subject-independent evaluation, LOSO validation, multimodal ablation studies, and SHAP-based interpretability analysis.
  • The study aimed to establish a unified benchmark for physiological state recognition from wearable measurements.

Physiological state recognition from wearable measurements is inherently nonlinear even when individual modalities exhibit monotonic trends.

  • Individual physiological signals such as heart rate may show simple monotonic trends (e.g., elevated heart rate under stress), yet overall classification is nonlinear.
  • The nonlinearity was demonstrated across all three task domains: stress, cognitive load, and exercise.
  • The findings support the necessity of nonlinear modeling for robust, real-time wearable health-monitoring systems.
  • Linear assumptions about autonomic nervous system dynamics were found to be insufficient for accurate physiological state recognition.

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Citation

Shahriar K. (2026). Why nonlinear models matter: unified analysis of cognitive load, stress, and exercise using wearable physiological signals.. Physiological measurement. https://doi.org/10.1088/1361-6579/ae520c