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math.NA2024
Rapid Grassmannian Averaging with Chebyshev Polynomials
Brighton Ancelin, Alex Saad-Falcon, Kason Ancelin +1
We propose new algorithms to efficiently average a collection of points on a Grassmannian manifold in both the centralized and decentralized settings. Grassmannian points are used…
eess.IV2024
MANGO: Learning Disentangled Image Transformation Manifolds with Grouped Operators
Brighton Ancelin, Yenho Chen, Peimeng Guan +4
Learning semantically meaningful image transformations (i.e. rotation, thickness, blur) directly from examples can be a challenging task. Recently, the Manifold Autoencoder (MAE) p…
eess.SP2024
Subspace Tracking with Dynamical Models on the Grassmannian
Alex Saad-Falcon, Brighton Ancelin, Justin Romberg
Tracking signals in dynamic environments presents difficulties in both analysis and implementation. In this work, we expand on a class of subspace tracking algorithms which utilize…