no code implementations • 26 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.
no code implementations • 2 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 $\mathbb{R}^n$.
no code implementations • 7 Feb 2021 • Puoya Tabaghi, Ivan Dokmanic
Congruent Procrustes analysis aims to find the best matching between two point sets through rotation, reflection and translation.
1 code implementation • 26 Feb 2015 • Ivan Dokmanic, Reza Parhizkar, Juri Ranieri, Martin Vetterli
Euclidean distance matrices (EDM) are matrices of squared distances between points.
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