Publications related to Tangent bundle

Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

2020

Dynamical Reduced Basis Methods for Hamiltonian Systems

Cecilia Pagliantini

We consider model order reduction of parameterized Hamiltonian systems describing nondissipative phenomena, like wave-type and transport dominated problems. The development of reduced basis methods for such models is challenged by two main factors: the ric ...

2019

Configuration Spaces Of Products

Kathryn Hess Bellwald

We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of the appropriate dimension. We also discuss an ...

2019

Fréchet means and Procrustes analysis in Wasserstein space

Victor Panaretos, Yoav Zemel

We consider two statistical problems at the intersection of functional and non-Euclidean data analysis: the determination of a Fréchet mean in the Wasserstein space of multivariate distributions; and the optimal registration of deformed random measures and ...

2019

Tangential phase-contrast imaging for fluctuation measurements in JT–60SA: a conceptual study

Stefano Coda, Stephan Brunner, Kenji Tanaka, Aylwin Iantchenko

This contribution will present a feasibility study and conceptual design of a tangential phase-contrast imaging (PCI) diagnostic for the new JT60SA tokamak. PCI is a well-known technique for measuring density fluctuations. Tangential launching, combined wi ...

european physical society2019

Arithmetic and metric aspects of open de Rham spaces

Dimitri Stelio Wyss, Tamás Hausel, Michael Lennox Wong

In this paper we determine the motivic class---in particular, the weight polynomial and conjecturally the Poincar'e polynomial---of the open de Rham space, defined and studied by Boalch, of certain moduli of irregular meromorphic connections on the trivia ...

2018

Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions

Fabio Nobile, Eleonora Musharbash

In this paper we propose a method for the strong imposition of random Dirichlet boundary conditions in the Dynamical Low Rank (DLR) approximation of parabolic PDEs and, in particular, incompressible Navier Stokes equations. We show that the DLR variational ...

Elsevier2018

Distinct distances between points and lines

Frank de Zeeuw, Adrian Claudiu Valculescu, Shakhar Smorodinsky

We show that for m points and n lines in R-2, the number of distinct distances between the points and the lines is Omega(m(1/5)n(3/5)), as long as m(1/2)

Elsevier Science Bv2018

Fréchet means in Wasserstein space

Yoav Zemel

This work studies the problem of statistical inference for Fréchet means in the Wasserstein space of measures on Euclidean spaces,

\mathcal W_2 ( \mathbb R^d )

. This question arises naturally from the problem of separating amplitude and phase variation i ...

EPFL2017

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of

2S

dynamica ...

2017

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Symplectic dynamical low rank approximation of wave equations with random parameters

Dynamical Reduced Basis Methods for Hamiltonian Systems

Configuration Spaces Of Products

Fréchet means and Procrustes analysis in Wasserstein space

Tangential phase-contrast imaging for fluctuation measurements in JT–60SA: a conceptual study

Arithmetic and metric aspects of open de Rham spaces

Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions

Distinct distances between points and lines

Fréchet means in Wasserstein space

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Symplectic dynamical low rank approximation of wave equations with random parameters

Dynamical Reduced Basis Methods for Hamiltonian Systems

Tangential phase-contrast imaging for fluctuation measurements in JT–60SA: a conceptual study

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fréchet means in Wasserstein space

Distinct distances between points and lines

Configuration Spaces Of Products

Fréchet means and Procrustes analysis in Wasserstein space

Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions

Arithmetic and metric aspects of open de Rham spaces