Publications related to Vector-valued differential form

Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation

We generalize the class vectors found in neural networks to linear subspaces (i.e., points in the Grassmann manifold) and show that the Grassmann Class Representation (GCR) enables simultaneous improvement in accuracy and feature transferability. In GCR, e ...

Ieee Computer Soc2023

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

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Fabio Nobile, Davide Pradovera

We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on rational interpolation of vector-valued functions. The selection of the sample points is carried out adaptively according to a greedy procedure. We describe seve ...

MATHICSE2020

Some Remarks on the Lie Derivative and the Pullback Equation for Contact Forms

Bernard Dacorogna, Olivier Kneuss

Given the contact forms f and g, and the 1-form h, we discuss the existence of a vector field u verifying L-u(f)= d(u (right perpendicular) f)+ u (right perpendicular) df = h. This is closely related to the pullback equation, where we seek for a diffeomorp ...

Walter De Gruyter Gmbh2017

Notions of affinity in calculus of variations with differential forms

Saugata Bandyopadhyay, Swarnendu Sil

Ext-int. one affine functions are functions affine in the direction of one-divisible exterior forms with respect to the exterior product in one variable and with respect to the interior product in the other. The purpose of this article is to prove a charac ...

Walter De Gruyter Gmbh2016

Facing and Overcoming Sensitivity Challenges in Biomolecular NMR Spectroscopy

Arnaud Comment

In the Spring of 2013, NMR spectroscopists convened at the Weizmann Institute in Israel to brainstorm on approaches to improve the sensitivity of NMR experiments, particularly when applied in biomolecular settings. This multi-author interdisciplinary Revie ...

Wiley-V C H Verlag Gmbh2015

Balanced Fiber Bundles and GKM Theory

Silvia Sabatini

Let T be a torus and B a compact T-manifold. Goresky et al. show in [3] that if B is (what was subsequently called) a GKM manifold, then there exists a simple combinatorial description of the equivariant cohomology ring H-T*(B) as a subring of H-T*(B-T). I ...

Oxford University Press2013

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Vector-valued differential form

Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation

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

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Some Remarks on the Lie Derivative and the Pullback Equation for Contact Forms

Notions of affinity in calculus of variations with differential forms

Sparsity-Based Data Reconstruction Models for Biomedical Imaging

Facing and Overcoming Sensitivity Challenges in Biomolecular NMR Spectroscopy

Balanced Fiber Bundles and GKM Theory

Finite Dimensional Methods for Differential Flatness

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Chat with Graph Search

Arithmetically rigid schemes via deformation theory of equivariant vector bundles

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Balanced Fiber Bundles and GKM Theory

Sparsity-Based Data Reconstruction Models for Biomedical Imaging

Facing and Overcoming Sensitivity Challenges in Biomolecular NMR Spectroscopy

Finite Dimensional Methods for Differential Flatness

Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation

Some Remarks on the Lie Derivative and the Pullback Equation for Contact Forms

Notions of affinity in calculus of variations with differential forms

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