Publications related to Some remarks on representations of Yang-Mills algebras

Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

Annalisa Buffa, Pablo Antolin Sanchez, Margarita Chasapi

This contribution presents a model order reduction framework for real-time efficient solution of trimmed, multi-patch isogeometric Kirchhoff-Love shells. In several scenarios, such as design and shape optimization, multiple simulations need to be performed ...

2023

The rationales that underlie modal practices

Vincent Kaufmann

Encouraging a modal shift from individual transportation to less polluting modes such as public transport, walking and cycling, is now a key recommendation of the UN to reach the goals set by the Paris Agreement. Achieving this ambitious goal requires a de ...

2022

Spherical birational sheets in reductive groups

Filippo Ambrosio

We classify the spherical birational sheets in a complex simple simply-connected algebraic group. We use the classification to show that, when G is a connected reductive complex algebraic group with simply-connected derived subgroup, two conjugacy classes ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

Remarks on the derived center of small quantum groups

Anna Lachowska

Let u(q)(g) be the small quantum group associated with a complex semisimple Lie algebra g and a primitive root of unity q, satisfying certain restrictions. We establish the equivalence between three different actions of g on the center of u(q)(g) and on th ...

SPRINGER INTERNATIONAL PUBLISHING AG2021

Bundle-Specific Axon Diameter Index as a New Contrast to Differentiate White Matter Tracts

Jean-Philippe Thiran, Gabriel Girard, David Paul Roger Romascano, Alessandro Daducci, Cristina Granziera, Muhamed Barakovic, Maxime Descoteaux, Giorgio Innocenti

In the central nervous system of primates, several pathways are characterized by different spectra of axon diameters. In vivo methods, based on diffusion-weighted magnetic resonance imaging, can provide axon diameter index estimates non-invasively. However ...

2021

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot

We study how permutation symmetries in overparameterized multi-layer neural networks generate `symmetry-induced' critical points. Assuming a network with

L

layers of minimal widths

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reaches a zero-loss minimum at $ r_1^*! \c ...

2021

Three-dimensional fabrication of sub-micron optical waveguides in PDMS and other polymer materials

Giulia Panusa

Optical waveguides are one of the most important photonic components. They are indispensable tools in many of todayâs technologies because of their capacity of guiding light. In particular, compact, low loss, flexible polymer optical waveguides are cruci ...

EPFL2021

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

Maryam Kamgarpour, Luca Furieri, Yu Zheng

A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly coprime factorization of the system, while the recent system-level and input-o ...

2021

Arithmetically rigid schemes via deformation theory of equivariant vector bundles

Maciej Emilian Zdanowicz

We analyze the deformation theory of equivariant vector bundles. In particular, we provide an effective criterion for verifying whether all infinitesimal deformations preserve the equivariant structure. As an application, using rigidity of the Frobenius ho ...

SPRINGER HEIDELBERG2020

Resolving bundle-specific intra-axonal T2 values within a voxel using diffusion-relaxation tract-based estimation

Jean-Philippe Thiran, Erick Jorge Canales Rodriguez, Alessandro Daducci, Cristina Granziera, Muhamed Barakovic

At the typical spatial resolution of MRI in the human brain, approximately 60–90% of voxels contain multiple fiber populations. Quantifying microstructural properties of distinct fiber populations within a voxel is therefore challenging but necessary. Whil ...

2020

Some remarks on representations of Yang-Mills algebras

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Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

The rationales that underlie modal practices

Spherical birational sheets in reductive groups

Remarks on the derived center of small quantum groups

Bundle-Specific Axon Diameter Index as a New Contrast to Differentiate White Matter Tracts

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Three-dimensional fabrication of sub-micron optical waveguides in PDMS and other polymer materials

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

Arithmetically rigid schemes via deformation theory of equivariant vector bundles

Resolving bundle-specific intra-axonal T2 values within a voxel using diffusion-relaxation tract-based estimation

Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

Spherical birational sheets in reductive groups

Bundle-Specific Axon Diameter Index as a New Contrast to Differentiate White Matter Tracts

Three-dimensional fabrication of sub-micron optical waveguides in PDMS and other polymer materials

Remarks on the derived center of small quantum groups

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

Arithmetically rigid schemes via deformation theory of equivariant vector bundles

Resolving bundle-specific intra-axonal T2 values within a voxel using diffusion-relaxation tract-based estimation

The rationales that underlie modal practices