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An Accelerated First-Order Method for Non-convex Optimization on Manifolds

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Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity

Claudio Scrucca

We further develop on the study of the conditions for the existence of locally stable non-supersymmetric vacua with vanishing cosmological constant in supergravity models involving only chiral super fields. Starting from the two necessary conditions for fl ...

2006

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Optimal control of geodesics in Riemannian manifolds

Klaus-Dieter Semmler, Roland Rozsnyo

Summary: We present a method based on an optimal control technique for numerical computations of geodesic paths between two fixed points of a Riemannian manifold under the assumption of existence. In this method, the control variable is the tangent vector ...

2004

Tangent Vector Kernels for Invariant Image Classification with SVMs

Samy Bengio, Alexei Pozdnoukhov

This paper presents an application of the general sample-to-object approach to the problem of invariant image classification. The approach results in defining new SVM kernels based on tangent vectors that take into account prior information on known invari ...

2004

Global regularity of wave maps from $R^{3+1}$ to surfaces

Joachim Krieger

We consider Wave Maps with smooth compactly supported initial data of small (H) over dot (3/2)-norm from R3+1 to certain 2-dimensional Riemannian manifolds and show that they stay smooth globally in time. Our methods are based on the introduction of a glob ...

Springer Verlag2003

Tangent Vector Kernels for Invariant Image Classification with SVMs

Samy Bengio, Alexei Pozdnoukhov

IDIAP2003

Liouville type theorems for mappings with bounded (co)-distortion

Marc Troyanov

We obtain Liouville type theorems for mappings with bounded

s

-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded

q

-codistorsion. ...

2002

Boundary behavior of quasi-regular maps and the isodiametric profile

Marc Troyanov

We study obstructions for a quasi-regular mapping f : M -> N of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of M. ...

2001

L'horizon de SOL

Marc Troyanov

The goal of this paper is to give an explicit analysis of the geodesic flow on the three dimensional Lie group SOL. In particular we describe its horizon. (The horizon of a riemannian manifold is a topological space parametrizing the asymptotic classes of ...

1998

Prescribing curvature on open surfaces

Marc Troyanov

In this article, we study the problem (sometimes called the Berger-Nirenberg problem) of prescribing the curvature on a Riemann surface (that is on an oriented surface equipped with a conformal class of Riemannian metrics). ...

1992

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Liouville type theorems for mappings with bounded (co)-distortion

Marc Troyanov

We obtain Liouville type theorems for mappings with bounded

s

-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded

q

-codistorsion. ...

2002