44 citations · 72 across the 23 of their papers we have counts for
32 papers
Provable Method of Moments for Cryo-EM
Amnon Balanov, Tamir Bendory, Dan Edidin +3
We study the recovery of a three-dimensional volume in single-particle cryo-electron microscopy (cryo-EM) from noisy tomographic projections acquired at unknown viewing rotations,…
Cluster-Aware Matching via Laplacian Optimal Transport
Gabriel Samberg, YoonHaeng Hur, Yuehaw Khoo +1
In many applications of matching, the point clouds to be matched are not merely unstructured sets of points but rather samples from distributions with an intrinsic cluster structur…
Anchor-Based Function Extrapolation with Proven Bounds and Projection Guarantees
Guy Hay, Nir Sharon
Classical approximation and learning methods are typically optimized for interpolation over a sampled domain Ω, with no guarantees on their behavior in an extrapolation region Ξ, w…
Provable orbit recovery over SO(3) from the non-uniform second moment
Tamir Bendory, Dan Edidin, Josh Katz +2
We study the recovery of an unknown three-dimensional band-limited signal from multiple noisy observations that are randomly rotated by latent elements of SO(3), where the rotation…
SO(3)-invariant PCA with application to molecular data
Michael Fraiman, Paulina Hoyos, Tamir Bendory +4
Principal component analysis (PCA) is a fundamental technique for dimensionality reduction and denoising; however, its application to three-dimensional data with arbitrary orientat…
Subdivision Schemes in Metric Spaces
Nira Dyn, Nir Sharon
We develop a unified framework for nonlinear subdivision schemes on complete metric spaces (CMS). We begin with CMS preliminaries and formalize refinement in CMS, retaining key str…