Klas Modin
Klas Modin has a broad research interest, stretching from infinite-dimensional geometry, geometric hydrodynamics, and shape analysis, to computational mathematics, deep learning, and medical imaging. For his work he recieved an "Ingvar Carlsson Award" from SSF in 2013, a "Marie Sklodovska-Curie Individual Fellowship" from the European Commision (Horizon 2020) in 2015, and a "Starting Grant" from the Swedish Research Council in 2017. In 2019 he was selected "Wallenberg Academy Fellow" by the Royal Academy of Sciences.
Showing 56 publications
Simple Unbalanced Optimal Transport
ON THE GEOMETRY AND DYNAMICAL FORMULATION OF THE SINKHORN ALGORITHM FOR OPTIMAL TRANSPORT
CONVERGENCE OF THE VERTICAL GRADIENT FLOW FOR THE GAUSSIAN MONGE PROBLEM
The Toda Flow as a Porous Medium Equation
Incompressible Euler equations with stochastic forcing: A geometric approach
Shape analysis via gradient flows on diffeomorphism groups
An efficient geometric method for incompressible hydrodynamics on the sphere
Marker unit for use in ar aided surgery
Canonical scale separation in two-dimensional incompressible hydrodynamics
Casimir preserving spectrum of two-dimensional turbulence
Integrability of Point-Vortex Dynamics via Symplectic Reduction: A Survey
Geometric hydrodynamics and infinite-dimensional newton’s equations
What makes nonholonomic integrators work?
Lie–Poisson Methods for Isospectral Flows
A Casimir preserving scheme for long-Time simulation of spherical ideal hydrodynamics
Semi-invariant Riemannian metrics in hydrodynamics
Diffeomorphic density registration
General method for atomistic spin-lattice dynamics with first-principles accuracy
Currents and Finite Elements as Tools for Shape Space
Geometry of the Madelung Transform
A multiscale theory for image registration and nonlinear inverse problems
Geometric hydrodynamics via Madelung transform
A Numerical Algorithm for C-2-Splines on Symmetric Spaces
Newton's Equation on Diffeomorphisms and Densities
Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry
Moving Mesh and Image Registration in FEniCS
A minimal-variable symplectic integrator on spheres
Diffeomorphic random sampling using optimal information transport
On geodesic completeness for Riemannian metrics on smooth probability densities
Symmetry reduction for central force problems
Geometry of Discrete-Time Spin Systems
Discrete Variational Derivative Methods for the EPDiff Equation
B-series methods are exactly the affine equivariant methods
Stability Limitations in Simulation of Dynamical Systems with Multiple Time-Scales
Symmetry reduction for central force problems
Proceedings Of Math On The Rocks Shape Analysis Workshop In Grundsund
Diffeomorphic density matching by optimal information transport
Collective Lie-Poisson integrators on R3
Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration
On conformal variational problems and free boundary continua
Symplectic integrators for spin systems
Integration of Hamiltonian systems with a structure preserving algorithm
Geometric Generalisations of Shake and Rattle
Collective symplectic integrators
Integrability of Nonholonomically Coupled Oscillators
Symplectic integrators for index one constraints
Geodesic Warps by Conformal Mappings
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Showing 6 research projects
Long-time 2D hydrodynamics via quantization
Geometric numerical methods for computational anatomy
CHallenges in Preservation of Structure (CHiPS)
Geometry and Computational Anatomy (GEOCA)
Numerical methods for computational anatomy
Generalised Euler equations: theory, numerics, and computational anatomy