Concept
Vector-valued differential form
Publications associées (18)
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 Soc2023Arithmetically rigid schemes via deformation theory of equivariant vector bundles
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 HEIDELBERG2020Resolving 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 ...
2020MATHICSE 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 ...
MATHICSE2020Some 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 Gmbh2017Notions 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 Gmbh2016Sparsity-Based Data Reconstruction Models for Biomedical Imaging
We propose new regularization models to solve inverse problems encountered in biomedical imaging applications. In formulating mathematical schemes, we base our approach on the sparse signal processing principles that have emerged as a central paradigm in t ...
EPFL2016Facing and Overcoming Sensitivity Challenges in Biomolecular NMR Spectroscopy
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 Gmbh2015Finite Dimensional Methods for Differential Flatness
In Control System Theory, the study of continuous-time, finite dimensional, underdetermined systems of ordinary differential equations is an important topic. Classification of systems in different categories is a natural initial step to the analysis of a g ...
EPFL2013