Publications related to Kähler manifold

Note on Solutions of the Strominger System from Unitary Representations of Cocompact Lattices of SL(2, C)

This note is motivated by a recently published paper (Biswas and Mukherjee in Commun Math Phys 322(2):373-384, 2013). We prove a no-go result for the existence of suitable solutions of the Strominger system in a compact complex parallelizable manifold . Fo ...

Springer Verlag2014

Deformation of complex structures and the coupled Kahler-Yang-Mills equations

Mario Garcia Fernandez

In this work, we define a deformation theory for the coupled Kahler-Yang-Mills equations, generalizing work of Sz,kelyhidi on constant scalar curvature Kahler metrics. We use the theory to find new solutions of the equations via deformation of the complex ...

Oxford University Press2014

Non-linear Low-rank and Sparse Representation for Hyperspectral Image Analysis

Jean-Philippe Thiran, Devis Tuia, Volker Gass, Frank Grégoire Jean de Morsier, Maurice Borgeaud

In this paper, we tackle the problem of unsupervised classification of hyperspectral images. We propose a clustering method based on graphs representing the data structure, which is assumed to be an union of multiple manifolds. The method constraints the p ...

2014

Semi-supervised and unsupervised kernel-based novelty detection with application to remote sensing images

Frank Grégoire Jean de Morsier

The main challenge of new information technologies is to retrieve intelligible information from the large volume of digital data gathered every day. Among the variety of existing data sources, the satellites continuously observing the surface of the Earth ...

EPFL2014

Tangent-based manifold approximation with locally linear models

Pascal Frossard, Sofia Karygianni

In this paper, we consider the problem of manifold approximation with affine subspaces. Our objective is to discover a set of low dimensional affine subspaces that represent manifold data accurately while preserving the manifold's structure. For this purpo ...

Elsevier2014

Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

Daniele Valtorta

We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operator when the Ricci curvature is bounded from below by a negative constant. We ...

Springer Verlag2014

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem dened on a

n

-dimensional domain

D (n ≥ 1)

, with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. We ...

2014

Total Variation Regularization for Manifold-Valued Data

Martin Kurt Storath

We consider total variation (TV) minimization for manifold-valued data. We propose a cyclic proximal point algorithm and a parallel proximal point algorithm to minimize TV functionals with l(p) -type data terms in the manifold case. These algorithms are ba ...

Siam Publications2014

Semisupervised Manifold Alignment of Multimodal Remote Sensing Images

Devis Tuia, Maxime Pierre Trolliet

We introduce a method for manifold alignment of different modalities (or domains) of remote sensing images. The problem is recurrent when a set of multitemporal, multisource, multisensor, and multiangular images is available. In these situations, images sh ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Balanced metrics on vector bundles and polarized manifolds

Mario Garcia Fernandez

We consider a notion of balanced metrics for triples (X, L, E) which depend on a parameter alpha, where X is a smooth complex manifold with an ample line bundle L and E is a holomorphic vector bundle over X. For generic choice of alpha, we prove that the l ...

Oxford University Press2013

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Note on Solutions of the Strominger System from Unitary Representations of Cocompact Lattices of SL(2, C)

Deformation of complex structures and the coupled Kahler-Yang-Mills equations

Non-linear Low-rank and Sparse Representation for Hyperspectral Image Analysis

Semi-supervised and unsupervised kernel-based novelty detection with application to remote sensing images

Tangent-based manifold approximation with locally linear models

Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Total Variation Regularization for Manifold-Valued Data

Semisupervised Manifold Alignment of Multimodal Remote Sensing Images

Balanced metrics on vector bundles and polarized manifolds

Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

Total Variation Regularization for Manifold-Valued Data

Semi-supervised and unsupervised kernel-based novelty detection with application to remote sensing images

Semisupervised Manifold Alignment of Multimodal Remote Sensing Images

Note on Solutions of the Strominger System from Unitary Representations of Cocompact Lattices of SL(2, C)

Balanced metrics on vector bundles and polarized manifolds

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Deformation of complex structures and the coupled Kahler-Yang-Mills equations

Non-linear Low-rank and Sparse Representation for Hyperspectral Image Analysis

Tangent-based manifold approximation with locally linear models