Search Results for author: Ivan Dokmanic

Found 4 papers, 1 papers with code

Joint Cryo-ET Alignment and Reconstruction with Neural Deformation Fields

no code implementations26 Nov 2022 Valentin Debarnot, Sidharth Gupta, Konik Kothari, Ivan Dokmanic

We show that our approach enables the recovery of high-frequency details that are destroyed without accounting for deformations.

Cryogenic Electron Tomography

Deep Invertible Approximation of Topologically Rich Maps between Manifolds

no code implementations2 Oct 2022 Michael Puthawala, Matti Lassas, Ivan Dokmanic, Pekka Pankka, Maarten de Hoop

By exploiting the topological parallels between locally bilipschitz maps, covering spaces, and local homeomorphisms, and by using universal approximation arguments from machine learning, we find that a novel network of the form $\mathcal{T} \circ p \circ \mathcal{E}$, where $\mathcal{E}$ is an injective network, $p$ a fixed coordinate projection, and $\mathcal{T}$ a bijective network, is a universal approximator of local diffeomorphisms between compact smooth submanifolds embedded in $\mathbb{R}^n$.

Topological Data Analysis

On Procrustes Analysis in Hyperbolic Space

no code implementations7 Feb 2021 Puoya Tabaghi, Ivan Dokmanic

Congruent Procrustes analysis aims to find the best matching between two point sets through rotation, reflection and translation.

Translation

Euclidean Distance Matrices: Essential Theory, Algorithms and Applications

1 code implementation26 Feb 2015 Ivan Dokmanic, Reza Parhizkar, Juri Ranieri, Martin Vetterli

Euclidean distance matrices (EDM) are matrices of squared distances between points.

Other Computer Science

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