Publications related to Minimum distance between pattern transformation manifolds: Algorithm and Applications

Combinatorial Penalties: Which structures are preserved by convex relaxations?

We consider the homogeneous and the non-homogeneous convex relaxations for combinatorial penalty functions defined on support sets. Our study identifies key differences in the tightness of the resulting relaxations through the notion of the lower combinato ...

2017

Lipschitz changes of variables between perturbations of log-concave measures

Maria Colombo

Extending a result of Caffarelli, we provide global Lipschitz changes of variables between compactly supported perturbations of log-concave measures. The result is based on a combination of ideas from optimal transportation theory and a new Pogorelov-type ...

2017

Riemannian Optimization for Solving High-Dimensional Problems with Low-Rank Tensor Structure

Michael Maximilian Steinlechner

In this thesis, we present a Riemannian framework for the solution of high-dimensional optimization problems with an underlying low-rank tensor structure. Here, the high-dimensionality refers to the size of the search space, while the cost function is scal ...

EPFL2016

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Daniel Kressner

A novel method for approximating structured singular values (also known as

\mu

- values) is proposed and investigated. These quantities constitute an important tool in the stability analysis of uncertain linear control systems as well as in structured eig ...

MATHICSE2016

Multisymplectic Variational Integrators For Nonsmooth Lagrangian Continuum Mechanics

Tudor Ratiu, François Gay-Balmaz, François Marie Alain Demoures

This paper develops the theory of multisymplectic variational integrators for nonsmooth continuum mechanics with constraints. Typical problems are the impact of an elastic body on a rigid plate or the collision of two elastic bodies. The integrators are ob ...

Cambridge Univ Press2016

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Yohan Cédric Loup Brunebarbe

A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic m ...

Independent Univ Moscow-Ium2016

Gauging nonrelativistic field theories using the coset construction

Alexander Monin, Georgios Karananas

We discuss how nonrelativistic spacetime symmetries can be gauged in the context of the coset construction. We consider theories invariant under the centrally extended Galilei algebra as well as the Lifshitz one, and we investigate under what conditions th ...

Amer Physical Soc2016

Structured Auto-Encoder with application to Music Genre Recognition

Michaël Defferrard

In this work, we present a technique that learns discriminative audio features for Music Information Retrieval (MIR). The novelty of the proposed technique is to design auto-encoders that make use of data structures to learn enhanced sparse data representa ...

2015

COMMIT: Convex Optimization Modeling for Microstructure Informed Tractography

Jean-Philippe Thiran, Alessandro Daducci, Alia Lemkaddem

Tractography is a class of algorithms aiming at in vivo mapping the major neuronal pathways in the white matter from diffusion MRI data. These techniques offer a powerful tool to noninvasively investigate at the macroscopic scale the architecture of the ne ...

Institute of Electrical and Electronics Engineers2015

Why CLEAN when you can PURIFY? A new approach for next-generation radio-interferometric imaging

Yves Wiaux, Rafael Eduardo Carrillo Rangel, Jason Douglas McEwen

In recent works, sparse models and convex optimization techniques have been applied to radio-interferometric (RI) imaging showing the potential to outperform state-of-the-art imaging algorithms in the field. In this talk, I will review our latest contribut ...

2015

Minimum distance between pattern transformation manifolds: Algorithm and Applications

Graph Chatbot

Chat with Graph Search

Combinatorial Penalties: Which structures are preserved by convex relaxations?

Lipschitz changes of variables between perturbations of log-concave measures

Riemannian Optimization for Solving High-Dimensional Problems with Low-Rank Tensor Structure

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Multisymplectic Variational Integrators For Nonsmooth Lagrangian Continuum Mechanics

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Gauging nonrelativistic field theories using the coset construction

Structured Auto-Encoder with application to Music Genre Recognition

COMMIT: Convex Optimization Modeling for Microstructure Informed Tractography

Why CLEAN when you can PURIFY? A new approach for next-generation radio-interferometric imaging

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

COMMIT: Convex Optimization Modeling for Microstructure Informed Tractography

Lipschitz changes of variables between perturbations of log-concave measures

Gauging nonrelativistic field theories using the coset construction

Structured Auto-Encoder with application to Music Genre Recognition

Combinatorial Penalties: Which structures are preserved by convex relaxations?

Why CLEAN when you can PURIFY? A new approach for next-generation radio-interferometric imaging

Riemannian Optimization for Solving High-Dimensional Problems with Low-Rank Tensor Structure

Multisymplectic Variational Integrators For Nonsmooth Lagrangian Continuum Mechanics

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds