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This research introduces TRI-HAR, a novel framework designed for Human Activity Recognition using multiple inertial measurement units (IMUs). By structurally embedding rotation invariance through SO(3)-equivariant backbones, the model eliminates dependency on external calibration or data augmentation to handle independent orientation shifts across different body locations. This structural approach offers a more robust solution than conventional scalar models when deploying wearables for at-home rehabilitation and exercise monitoring without strict reference-frame assumptions.
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Rotation-Invariant Multi-IMU Activity Recognition under Independent Per-Location Orientation Shifts

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arXiv:2608.15621v1 Announce Type: cross Abstract: Human Activity Recognition (HAR) with self-administered wearables, such as at-home rehabilitation and exercise monitoring, often requires reattaching inertial measurement units (IMUs) across sessions. In multi-IMU settings, this can induce independent orientation offsets across body locations, a deployment shift that conventional scalar HAR models do not structurally handle. Existing remedies rely on rotation augmentation, whose robustness depends on sampled transformations, or calibration and orientationnormalization pipelines requiring additional reference-frame assumptions or explicit procedures. We present Truly Rotation-Invariant HAR (TRI-HAR), a rotation-invariant framework that makes robustness to independent per-location IMU orientation offsets a structural model property. TRI-HAR reshapes accelerometer and gyroscope streams into triaxial vectors, applies a shared SO(3)-equivariant backbone and invariant projection to each IMU location, and fuses the resulting invariant features for activity classification. Across four multi-IMU benchmarks, TRI-HAR preserves macro-F1 under fixed independent per-location SO(3) rotations and outperforms rotation-augmented baselines under this target shift without requiring rotational augmentation.

Abstract:Human Activity Recognition (HAR) with self-administered wearables, such as at-home rehabilitation and exercise monitoring, often requires reattaching inertial measurement units (IMUs) across sessions. In multi-IMU settings, this can induce independent orientation offsets across body locations, a deployment shift that conventional scalar HAR models do not structurally handle. Existing remedies rely on rotation augmentation, whose robustness depends on sampled transformations, or calibration and orientationnormalization pipelines requiring additional reference-frame assumptions or explicit procedures. We present Truly Rotation-Invariant HAR (TRI-HAR), a rotation-invariant framework that makes robustness to independent per-location IMU orientation offsets a structural model property. TRI-HAR reshapes accelerometer and gyroscope streams into triaxial vectors, applies a shared SO(3)-equivariant backbone and invariant projection to each IMU location, and fuses the resulting invariant features for activity classification. Across four multi-IMU benchmarks, TRI-HAR preserves macro-F1 under fixed independent per-location SO(3) rotations and outperforms rotation-augmented baselines under this target shift without requiring rotational augmentation.

6 pages, 2 figures. ACM International Symposium on Wearable Computing (ISWC) 2026

Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

arXiv:2608.15621 [cs.AI]

(or arXiv:2608.15621v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2608.15621 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.1145/3830727.3834824 Focus to learn more DOI(s) linking to related resources

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