Concept

Singular value

Related publications (61)

On the Scale Dependence in the Dynamics of Frictional Rupture

Marie Estelle Solange Violay, Mathias Alexandre David Lebihain, François Xavier Thibault Passelègue, Federica Paglialunga

When an earthquake nucleates in the earth crust, the potential energy accumulated during the inter-seismic period is released into breakdown work, heat energy and radiated energy. Often the breakdown work is considered a seismological equivalent of the fra ...

2021

Phase retrieval in high dimensions: Statistical and computational phase transitions

Florent Gérard Krzakala, Lenka Zdeborová, Bruno Loureiro, Bruno Loureiro

We consider the phase retrieval problem of reconstructing a n -dimensional real or complex signal X ⋆ from m (possibly noisy) observations Y μ = | ∑ n i = 1 Φ μ i X ⋆ i / √ n | , for a large class of correlated real and complex random sensing matrices Φ , ...

Curran Associates, Inc.2020

Property FW, differentiable structures and smoothability of singular actions

Yash Lodha, Nicolas Matte Bon

We provide a smoothening criterion for group actions on manifolds by singular diffeomorphisms. We prove that if a countable group Gamma has the fixed point property FW for walls (for example, if it has property(T)), every aperiodic action of Gamma by diffe ...

WILEY2020

A Local Law for Singular Values from Diophantine Equations

Marius Christopher Lemm

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

2020

Clinical implementation of accelerated T-2 mapping: Quantitative magnetic resonance imaging as a biomarker for annular tear and lumbar disc herniation

Tobias Kober, Tom Hilbert, Michael Weber

Objectives This study evaluates GRAPPATINI, an accelerated T-2 mapping sequence combining undersampling and model-based reconstruction to facilitate the clinical implementation of T-2 mapping of the lumbar intervertebral disc. Methods Fifty-eight individua ...

SPRINGER2020

You, Cyborg ? Prosthetic Hybridation in Science-fiction Short Stories

While science fiction has disseminated the Cyborg's concept in an vein of epic heroism, its literary history, from Cordwainer Smith to Martin Caitlin and Frederik Pohl, shows that it challenges constantly its ideal of continuity. From the start, the space ...

2020

Magnetization transfer in magnetic resonance fingerprinting

Tobias Kober, Tom Hilbert

Purpose To study the effects of magnetization transfer (MT, in which a semi-solid spin pool interacts with the free pool), in the context of magnetic resonance fingerprinting (MRF). Methods Simulations and phantom experiments were performed to study the im ...

WILEY2019

Protostructure, archéologie et hypothèse d'une architecture-support

Agathe Claire Estelle Mignon

« How do we pile up dwellings without sacrificing their independence ? » Nicolas John Habraken asks the question in those terms in the book he first published in Dutch in 1961 then in English in 1972, Supports: An Alternative to Mass Housing, as an introd ...

EPFL2019

Patient respiratory-triggered quantitative T-2 mapping in the pancreas

Tobias Kober, Tom Hilbert, Reto Meuli, Josefina Adriana Maria Bastiaansen

Background Long acquisition times and motion sensitivity limit T-2 mapping in the abdomen. Accelerated mapping at 3 T may allow for quantitative assessment of diffuse pancreatic disease in patients during free-breathing. Purpose To test the feasibility of ...

WILEY2019

Model-based super-resolution reconstruction of T-2 maps

Jean-Philippe Thiran, Tobias Kober, Tom Hilbert, Gian Franco Piredda, Reto Meuli, Mohammad Golbabaee, Wajiha Bano

Purpose High-resolution isotropic T-2 mapping of the human brain with multi-echo spin-echo (MESE) acquisitions is challenging. When using a 2D sequence, the resolution is limited by the slice thickness. If used as a 3D acquisition, specific absorption rate ...

WILEY2019

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A Local Law for Singular Values from Diophantine Equations

Marius Christopher Lemm

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

2020