Publications related to Structure preserving model reduction of parametric Hamiltonian systems

Symplectic Model-Reduction with a Weighted Inner Product

Jan Sickmann Hesthaven, Babak Maboudi Afkham

In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the reduced system. In the context of Hamiltonian systems, symplectic model redu ...

2018

Geometric Model Order Reduction

Babak Maboudi Afkham

During the past decade, model order reduction (MOR) has been successfully applied to reduce the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. S ...

EPFL2018

On the theory of drainage area for regular and non-regular points

Sara Bonetti

The drainage area is an important, non-local property of a landscape, which controls surface and subsurface hydrological fluxes. Its role in numerous ecohydrological and geomorphological applications has given rise to several numerical methods for its comp ...

2018

Dynamical Low Rank approximation of PDEs with random parameters

Eleonora Musharbash

In this work, we focus on the Dynamical Low Rank (DLR) approximation of PDEs equations with random parameters. This can be interpreted as a reduced basis method, where the approximate solution is expanded in separable form over a set of few deterministic b ...

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

MATHICSE Technical Report : 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 ...

MATHICSE2017

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Jan Sickmann Hesthaven, Babak Maboudi Afkham

Reduced basis methods are popular for approximately solving large and complex systems of dierential equations. However, conventional reduced basis methods do not generally preserve conservation laws and symmetries of the full order model. Here, we present ...

2017

Methods and systems for low-power and pin-efficient communications with superposition signaling codes

Mohammad Amin Shokrollahi, Harm Cronie

Abstract A communication system uses a bus to transmit information, by receiving signals and mapping them to a second set of signals representing codewords of a superposition signaling code, and transmitting the second set of signals. The superposition sig ...

2016

Image coding with incomplete transforms competition for HEVC

Anne-Flore Nicole Marie Perrin

Overcomplete transforms have received considerable attention over the past years. However, they often suffer from a complexity burden. In this paper, a low complexity approach is provided, where an orthonormal basis is complemented with a set of incomplete ...

2015

Modified group delay feature based total variability space modelling for speaker recognition

In this paper, modified group delay (MODGD) features are used to model target speakers in the Total Variability Space (TVS) framework for speaker recognition. MODGD based features have been shown to improve speaker recognition performance owing to the abil ...

2015

Structure preserving model reduction of parametric Hamiltonian systems

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Symplectic Model-Reduction with a Weighted Inner Product

Geometric Model Order Reduction

On the theory of drainage area for regular and non-regular points

Dynamical Low Rank approximation of PDEs with random parameters

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Methods and systems for low-power and pin-efficient communications with superposition signaling codes

Image coding with incomplete transforms competition for HEVC

Modified group delay feature based total variability space modelling for speaker recognition

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

On the theory of drainage area for regular and non-regular points

Dynamical Low Rank approximation of PDEs with random parameters

Methods and systems for low-power and pin-efficient communications with superposition signaling codes

Modified group delay feature based total variability space modelling for speaker recognition

Image coding with incomplete transforms competition for HEVC

Symplectic Model-Reduction with a Weighted Inner Product

Geometric Model Order Reduction

Symplectic Dynamical Low Rank approximation of wave equations with random parameters