Cross-modally correlated soft-robot VAE axes are individually manipulable primitives
measured in 1 paperHan et al. train a multi-modal VAE encoding a soft robot's motion, force, and shape measurements into a shared 32-dimensional latent code [han-etal-2025-anchoring-morphological-representations-prosoro] Six components stand out with high cross-modal correlation, marking coordinate axes shared by all three modalities' encoders rather than modality-specific noise [han-etal-2025-anchoring-morphological-representations-prosoro] Traversing each of these six axes in isolation drives a distinct, geometrically coherent physical deformation mode, a causal intervention on an extracted direction [han-etal-2025-anchoring-morphological-representations-prosoro] Clustering the full latent-code trajectory recovers four separable clusters matching four ground-truth physical interaction phases [han-etal-2025-anchoring-morphological-representations-prosoro]