Beyond Perturbation Magnitude: Direction-Dependent Responses in Multimodal Geometric Representations

Excerpt

arXiv:2610.08533v1 Announce Type: cross Abstract: Geometric alignment scores based on Gram determinants provide a compact way to model higher-order consistency among modalities, yet how such scores respond to modality degradation is poorly understood. This paper asks whether the response of a multimodal geometric score is determined primarily by the magnitude of the perturbation-induced displacement. Using frozen cohorts from MSR-VTT (N=878) and DiDeMo (N=980), we apply controlled video blur and