105 citations · 149 across the 18 of their papers we have counts for
25 papers
Riemannian geometry for efficient analysis of protein dynamics data
Willem Diepeveen, Carlos Esteve-Yagüe, Jan Lellmann +2
An increasingly common viewpoint is that protein dynamics data sets reside in a non-linear subspace of low conformational energy. Ideal data analysis tools for such data sets shoul…
A Universal Quantum Algorithm for Weighted Maximum Cut and Ising Problems
Natacha Kuete Meli, Florian Mannel, Jan Lellmann
We propose a hybrid quantum-classical algorithm to compute approximate solutions of binary combinatorial problems. We employ a shallow-depth quantum circuit to implement a unitary…
Regularising orientation estimation in Cryo-EM 3D map refinement through measure-based lifting over Riemannian manifolds
Willem Diepeveen, Jan Lellmann, Ozan Öktem +1
Motivated by the trade-off between noise-robustness and data-consistency for joint 3D map reconstruction and rotation estimation in single particle cryogenic-electron microscopy (C…
Inverse Scale Space Iterations for Non-Convex Variational Problems: The Continuous and Discrete Case
Danielle Bednarski, Jan Lellmann
Non-linear filtering approaches allow to obtain decompositions of images with respect to a non-classical notion of scale, induced by the choice of a convex, absolutely one-homogene…
Inverse Scale Space Iterations for Non-Convex Variational Problems Using Functional Lifting
Danielle Bednarski, Jan Lellmann
Non-linear filtering approaches allow to obtain decompositions of images with respect to a non-classical notion of scale. The associated inverse scale space flow can be obtained us…
An Inexact Semi-smooth Newton Method on Riemannian Manifolds with Application to Duality-based Total Variation Denoising
Willem Diepeveen, Jan Lellmann
We propose a higher-order method for solving non-smooth optimization problems on manifolds. In order to obtain superlinear convergence, we apply a Riemannian Semi-smooth Newton met…