Publications related to Affine space

Hermite Snakes with Control of Tangents

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann

We introduce a new model of parametric contours defined in a continuous fashion. Our curve model relies on Hermite spline interpolation and can easily generate curves with sharp discontinuities; it also grants direct access to the tangent at each location. ...

IEEE2016

A Discontinuous Galerkin Reduced Basis Element Method For Elliptic Problems

Alfio Quarteroni, Paolo Pacciarini

We propose and analyse a new discontinuous reduced basis element method for the approximation of parametrized elliptic PDEs in partitioned domains. The method is built upon an offline stage (parameter independent) and an online (parameter dependent) one. I ...

Edp Sciences S A2016

Homology of the three flag Hilbert Scheme

Daniele Boccalini

We prove the existence of an affine paving for the three-step flag Hilbert scheme that parametrizes flag of three 0-dimensional subschemes of length, respectively, n, n+1 and n+2 that are supported at the origin of the affine plane. This is done by showing ...

EPFL2016

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta

We present a theoretical analysis and comparison of the effect of

ℓ _{ 1 }

versus

ℓ _{ 2 }

regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the s ...

IEEE2016

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

We consider finite element error approximations of the steady incompressible Navier-Stokes equations defined on a randomly perturbed domain, the perturbation being small. Introducing a random mapping, these equations are transformed into PDEs on a fixed re ...

MATHICSE2016

Principal component component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

Katharine Felicity Turner

Persistent homology, while ostensibly measuring changes in topology, captures multiscale geometrical information. It is a natural tool for the analysis of point patterns. In this paper we explore the statistical power of the persistent homology rank functi ...

Elsevier2016

MATHICSE Technical Report : Multiscale methods and model order reduction for flow problems in three-scale porous media

Assyr Abdulle, Ondrej Budác

A new multiscale method combined with model order reduction is proposed for flow problems in three-scale porous media. We derive an effective three-scale model that couples a macroscopic Darcy equation, a mesoscopic Stokes-Brinkman equation, and a microsco ...

MATHICSE2016

Subspace Acceleration For Large-Scale Parameter-Dependent Hermitian Eigenproblems

Daniel Kressner, Petar Sirkovic

This work is concerned with approximating the smallest eigenvalue of a parameter-dependent Hermitian matrix A(mu) for many parameter values mu in a domain D subset of R-P. The design of reliable and efficient algorithms for addressing this task is of impor ...

Siam Publications2016

Asymptotics of action variables near semi-toric singularities

The presence of focus-focus singularities in semi-toric integrables Hamiltonian systems is one of the reasons why there cannot exist global Action-Angle coordinates on such systems. At focus-focus critical points, the Liouville-Arnold-Mineur theorem does n ...

Elsevier2015

Efficient Shape Priors for Spline-Based Snakes

Michaël Unser, Daniel Andreas Schmitter, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

Parametric active contours are an attractive approach for image segmentation, thanks to their computational efficiency. They are driven by application-dependent energies that reflect the prior knowledge on the object to be segmented. We propose an energy i ...

2015

Affine space

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Hermite Snakes with Control of Tangents

A Discontinuous Galerkin Reduced Basis Element Method For Elliptic Problems

Homology of the three flag Hilbert Scheme

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

Principal component component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

MATHICSE Technical Report : Multiscale methods and model order reduction for flow problems in three-scale porous media

Subspace Acceleration For Large-Scale Parameter-Dependent Hermitian Eigenproblems

Asymptotics of action variables near semi-toric singularities

Efficient Shape Priors for Spline-Based Snakes

Asymptotics of action variables near semi-toric singularities

Subspace Acceleration For Large-Scale Parameter-Dependent Hermitian Eigenproblems

Hermite Snakes with Control of Tangents

Homology of the three flag Hilbert Scheme

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

A Discontinuous Galerkin Reduced Basis Element Method For Elliptic Problems

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

MATHICSE Technical Report : Multiscale methods and model order reduction for flow problems in three-scale porous media

Efficient Shape Priors for Spline-Based Snakes

Principal component component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids